K3 Harmonic Distortion

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Re: K3 Harmonic Distortion

Mike Harris-9
G'day,

Perhaps someone suitably qualified and tooled up might like to try and
replicate and comment upon the view presented by Rob Sherwood at the
Dayton convention.  According to him the K3 audio amp stage has serious
shortcomings.

Regards,

Mike VP8NO

----- Original Message -----
From: "Jim Brown" <[hidden email]>
To: "Elecraft List" <[hidden email]>
Sent: Monday, September 01, 2008 11:45 PM
Subject: Re: [Elecraft] K3 Harmonic Distortion


| On Mon, 01 Sep 2008 18:45:36 -0400, Jack Smith wrote:
|
| >I've found that the LIN OUT port has typical third harmonic levels
| >around -45 dB from the fundamental, with the LIN OUT level set at 10,
| >the factory default. The headphone port, under the same conditions,
| will
| >show the third harmonic down about 70 dB or so at levels appropriate
| for
| >my Sony high sensitivity headphones. Cranking the audio level up will
| >cause higher distortion on the headphone port, but only at levels that
| >are impossible to listen to as they are so loud as to  be unbearable.
|
| >I've also seen some non-harmonic artifacts, particularly when very
| >strong signals are pumped into the K3's antenna port.
|
| Jack,
|
| I assembled the first of the following reports in June after getting my
| first K3 running, and sent privately to the guys at Elecraft. That's why
| the new default LIN OUT gain is 10 rather than 50. It's also why there's
| a note in the new manual about LIN OUT level.
|
| http://audiosystemsgroup.com/K3FilterStudy.pdf
|
| A month or two later, I prepared a report on filters in my Yaesu
| FT1000MPs (mostly Inrads) and my K3.
|
| http://audiosystemsgroup.com/FilterTestNotes.pdf
|
| This second report describes the test methodology use for the earlier
| work, which uses rather a high quality pro audio FFT system (EASERA
| SysTun).
|
| My measurements compare pretty well with yours, but use a very different
| measurement method that is not dependent on the distortion of a signal
| generator. My method also makes the IM stick out like a sore thumb!
|
| As you can see from the first graph in the first pdf, distortion at the
| headphone output (the black curve) is 0.02% 2nd harmonic, 0.014% 3rd
| harmonic, and IM on the order of 0.1%. This was done at about 1 VRMS,
| and was done after the LIN OUT measurements without changing levels.
|
| The only difference between Joe's measurements and mine is that my
| analyzer has a bit more resolution, but we're all getting the same
| result. The headphone out is VERY VERY VERY good, but the LiN Out starts
| producing distortion at a rather low level. BUT, that low level is quite
| sufficient to drive a sound card.
|
| As to the setting of 3 or 10. The distortion is mainly caused by the
| output transformer, and distortion in an output transformer increases
| rapidly at low frequencies when it approaches its amplitude limit. The
| data output is MOSTLY intended for decoding digital signals, especially
| RTTY, and the distortion at 2 kHz is a LOT less than at 400 Hz for the
| same levels. But distortion is excited not only from signal, but from
| noise, and impulse noise can get pretty high.
|
| Taking all of this into account, I run my LIN OUT gain at 3, and
| recommend that setting.
|
| 73,
|
| Jim K9YC

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Re: K3 Harmonic Distortion

Mike Scott-7
In reply to this post by Berni G0IDA
>Anyway, the "noise/distortion" is still there coming out of the
headphone socket.

Berni, this is a technical group and as such we need hard data and not
subjective descriptions of what you hear coming out of the headphone jack. I
don't doubt that you are hearing something. There is very little I can do
with your description however.

Please download spectrum analysis software such as Spectrum Laboratory which
will give you a way to actually show us some hard data. This is freeware but
very capable and will allow you to show us something real. The HRD DM780 is
a great tool but it isn't designed to analyze harmonic distortion as you
can't measure signal amplitude levels.
Here is the download link for spectrum labs.
http://freenet-homepage.de/dl4yhf/spectra1.html#download

Also, you need to run the input to your sound card from your headphone out
jack and not line out if you want to discuss artifacts that you are hearing.


If you want to discuss artifacts you are seeing on a waterfall for data
modes then run the input to your sound card from the line out.

So far your discussion is about what you are hearing but your description of
waterfall effects is with line out. These are apples and oranges.


Mike Scott - AE6WA
Tarzana, CA (DM04 / near LA)
K3-100 #508/ KX1  #1311


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Re: K3 Harmonic Distortion

Leigh L. Klotz Jr WA5ZNU
Administrator
In reply to this post by Jack Smith-6
It would be nice to see this problem with the the K3IO board addressed
at some point.  It may be, as Jim K9YC has hinted, related to core
saturation from low frequency components that could attenuated before
reaching the board.  Or it may be that the transformers that fit in the
space are as big as they can be, and a third-party outboard audio
amplifier and isolation board is necessary, bypassing the transformers
in the K3.

But whatever the solution is, I'm looking forward to it, as using PSK
with a waterfall display on the K3 requires me to ride the AGC, LIN OUT,
and filters in a way that I didn't on the K2.

Leigh/WA5ZNU

> I've found that the LIN OUT port has typical third harmonic levels
> around -45 dB from the fundamental, with the LIN OUT level set at 10,
> the factory default. The headphone port, under the same conditions,
> will show the third harmonic down about 70 dB or so at levels
> appropriate for my Sony high sensitivity headphones. Cranking the
> audio level up will cause higher distortion on the headphone port, but
> only at levels that are impossible to listen to as they are so loud as
> to  be unbearable.
>
> I've also seen some non-harmonic artifacts, particularly when very
> strong signals are pumped into the K3's antenna port.
>
> Jack K8ZOA
>
> Julian, G4ILO wrote:
>> I think it was me who used the term "ghost" signals when referring to
>> the
>> harmonically related CW traces I could see on the CW Skimmer display. I
>> probably would have been completely unaware of it if I had never
>> tried this
>> program. It was only obvious as I was listening to CW with a narrow
>> filter
>> and the "ghost" traces were appearing in the part of the waterfall
>> that you
>> would be expect to be dark because it was outside of the passband. I
>> would
>> agree with the suggestion that the harmonics are at a low level
>> relative to
>> the main signal because they are masked by band noise when you open the
>> filter up. I don't think there is much risk of calling someone on the
>> third
>> harmonic by mistake. I don't know what the voltage level of the line
>> output
>> is but the traces disappear if you turn the level down to 2, which
>> unfortunately is too low for most sound card programs.
>>
>> I don't know if those same harmonics are present on the speaker or
>> headphone
>> outputs, as distinct from the computer audio feed. I can only say that I
>> find the K3 audio exceptionally pleasant to listen to. I much prefer
>> it to
>> the K2, or the FT-817, which are the only other radios I have. The only
>> other radio I have had that sounded as clean and low-distortion as
>> the K3
>> was an IC-756PRO that I had many years ago.
>>
>> If the harmonics are down by the kind of amounts that others have
>> measured
>> then the distortion figure is still within the specification for what
>> after
>> all is not meant to be an audiophile quality hi-fi output stage.
>>
>> -----
>> Julian, G4ILO. K2 #392  K3 #222.
>> http://www.g4ilo.com/ G4ILO's Shack   http://www.ham-directory.com/ Ham
>> Directory    http://www.g4ilo.com/kcomm.html KComm for Elecraft K2
>> and K3  
>

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Re: K3 Harmonic Distortion

Jack Smith-6
Working through the K3's schematic this morning, it seems that both the
headphone output port and the LIN OUT port are driven by similar
devices, a Texas Instruments DAC with integrated headphone amplifier.
(Two DACs, one for LIN OUT and one for headphones and speaker output.)

As near as I can see from tracing from one sheet to another, U29, a
TLV320ACC23 DAC with integrated headphone amplifier drives the TTC-108
LIN OUT transformers directly. Headphone and speaker audio, in contrast,
are derived from a second TLV320 DAC driving a LM4950 amplifier for
speaker output and an LM4811 for headphone output.

I've ordered a couple of TTC-108 transformers today and will run some
experiments with them over  the next week or so. I've looked at similar
transformers developed for modem and telephone line coupling, but not
the TTC-108 specifically, when trying to find a cheaper output
transformer to use with the Softrock Lite receivers. There, the emphasis
was more on high frequency response, up to 100 KHz, but distortion was
also a major issue. The solution of choice in my opinion for the
Softrock receivers turns out to be a MILSPEC Triad transformer, SP-70,
with excellent frequency response and quite low distortion. In single
lot prices, an SD-70 costs about four times as much as a TTC-108.

Jack



Leigh L. Klotz, Jr WA5ZNU wrote:

> It would be nice to see this problem with the the K3IO board addressed
> at some point.  It may be, as Jim K9YC has hinted, related to core
> saturation from low frequency components that could attenuated before
> reaching the board.  Or it may be that the transformers that fit in
> the space are as big as they can be, and a third-party outboard audio
> amplifier and isolation board is necessary, bypassing the transformers
> in the K3.
> But whatever the solution is, I'm looking forward to it, as using PSK
> with a waterfall display on the K3 requires me to ride the AGC, LIN
> OUT, and filters in a way that I didn't on the K2.
>
> Leigh/WA5ZNU
>
>> I've found that the LIN OUT port has typical third harmonic levels
>> around -45 dB from the fundamental, with the LIN OUT level set at 10,
>> the factory default. The headphone port, under the same conditions,
>> will show the third harmonic down about 70 dB or so at levels
>> appropriate for my Sony high sensitivity headphones. Cranking the
>> audio level up will cause higher distortion on the headphone port,
>> but only at levels that are impossible to listen to as they are so
>> loud as to  be unbearable.
>>
>> I've also seen some non-harmonic artifacts, particularly when very
>> strong signals are pumped into the K3's antenna port.
>>
>> Jack K8ZOA
>>
>> Julian, G4ILO wrote:
>>> I think it was me who used the term "ghost" signals when referring
>>> to the
>>> harmonically related CW traces I could see on the CW Skimmer display. I
>>> probably would have been completely unaware of it if I had never
>>> tried this
>>> program. It was only obvious as I was listening to CW with a narrow
>>> filter
>>> and the "ghost" traces were appearing in the part of the waterfall
>>> that you
>>> would be expect to be dark because it was outside of the passband. I
>>> would
>>> agree with the suggestion that the harmonics are at a low level
>>> relative to
>>> the main signal because they are masked by band noise when you open the
>>> filter up. I don't think there is much risk of calling someone on
>>> the third
>>> harmonic by mistake. I don't know what the voltage level of the line
>>> output
>>> is but the traces disappear if you turn the level down to 2, which
>>> unfortunately is too low for most sound card programs.
>>>
>>> I don't know if those same harmonics are present on the speaker or
>>> headphone
>>> outputs, as distinct from the computer audio feed. I can only say
>>> that I
>>> find the K3 audio exceptionally pleasant to listen to. I much prefer
>>> it to
>>> the K2, or the FT-817, which are the only other radios I have. The only
>>> other radio I have had that sounded as clean and low-distortion as
>>> the K3
>>> was an IC-756PRO that I had many years ago.
>>>
>>> If the harmonics are down by the kind of amounts that others have
>>> measured
>>> then the distortion figure is still within the specification for
>>> what after
>>> all is not meant to be an audiophile quality hi-fi output stage.
>>>
>>> -----
>>> Julian, G4ILO. K2 #392  K3 #222.
>>> http://www.g4ilo.com/ G4ILO's Shack   http://www.ham-directory.com/ Ham
>>> Directory    http://www.g4ilo.com/kcomm.html KComm for Elecraft K2
>>> and K3  
>>
>
>
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Re: K3 Harmonic Distortion

Brendan Minish
Jack

I have seen postings on the main reflector recommending settings as low
as 3 to avoid distortion products that are being attributed to
transformer distortion. This did not really make sense to me, especially
at such low levels where consumer sound cards tend to get non-linear and
nasty.

I took a look at the specifications for the TTC-108 audio transformer
used in the line out of the K3

Nominally it's specified as having an operating level of -45dBm to
+7dBm
THD is specified at 0.5% @0dBm 300Hz to 3.5 Khz @ 0dBm
this would make the transformer related harmonics worst case at -46dB
relative to the fundamental  

I did some measurements with an s9 CW signal zero beat at various pitch
settings
I used an old copy of SMAART pro that I have from my Sound engineering
days. the sound card is a delta44

Lin = 100       Pitch 300       pitch 550       pitch 800
DR3             47.3dB          51.4dB          54dB

Lin = 50        Pitch 300       Pitch 550       Pitch 800
DR3             43.1dB          47.6dB          50.6dB

Lin = 10        Pitch 300       Pitch 550       Pitch 800
DR3             35dB            39.7dB          43.1dB

Lin = 5         Pitch 300       Pitch 550       Pitch 800
DR3             31.9dB          37.7dB          42.7dB

Lin = 3         Pitch 300       Pitch 550       Pitch 800
DR3             31dB            40.3db          47.6dB

DR3 is the Dynamic range between the fundamental and the 3rd harmonic
(the most dominant harmonic by a wide margin)

I did a quick look at 5th and 7th orders too, again the best performance
here was found with LIN = 100  

LIN = 100 is an output level of approximately 700mv for an S9 CW sig on
my K3

The Harmonic distortion does not increase with higher line out levels,
it actually improves. This does not appear to be a transformer
saturation issue

With lin = 100 users will see a ghost on the waterfall and may risk
over-driving some consumer sound cards. lowering LIN may get rid of the
visible ghost by reducing the 3rd Harmonic to below the waterfall
threshold (& perhaps the sound card input noise floor ) but also reduces
the overall usable dynamic range  


73
Brendan EI6IZ

--
Don‘t complain. Nobody will understand. Or care. And certainly don‘t try
to fix the situation yourself. It‘s dangerous. Leave it to a highly
untrained, unqualified, expendable professional.

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Re: K3 Harmonic Distortion

Jim Brown-10
In reply to this post by Jack Smith-6
On Tue, 02 Sep 2008 11:53:23 -0400, Jack Smith wrote:

>The solution of choice in my opinion for the
>Softrock receivers turns out to be a MILSPEC Triad transformer, SP-70,
>with excellent frequency response and quite low distortion. In single
>lot prices, an SD-70 costs about four times as much as a TTC-108.

You should look at Jensen (www.jensen-transformers.com)

and Lundahl (www.lundahl.se)

which are pretty much THE standard in the pro audio world.

Jensen is well known for excellent applicactions engineering support,
with real engineers (not salesmen) answering the questions. Bill
Whitlock, the owner, is a Fellow of the AES. The guys who work for him
are also very good.

Both companies make "good, better, and best" products, depending on the
needs of the installation, but Jensen's best is significantly better
than Lundahl's best.

The old line mfrs like Triad and UTC are dead meat in the world of pro
audio.

BTW -- there's another problem with the transformers in the K3 --
they're unshielded, so they pick up whatever magnetic fields surround
them. Like the fields from the power transformer(s) for your power amp!  
This can be either a small problem (hum about -35dB carrier) or hum
that regenerates to full transmit power! I have the small problem, my
neighbor has the big problem. If you have this problem, you can hear
the hum with nothing connected to the line input (if the line input is
on).

IMO, the transformers need to go away. My Ham Interfacing tutorial
shows convincingly why they are completely un-necessary if all the gear
in your station is properly bonded together.

Leigh Klotz said,

>It may be, as Jim K9YC has hinted, related to core saturation

The most important difference between the Line Out and the Headphone
Out IS the transformer and the 600 ohm resistors, and it IS the cause
of the much higher distortion on the Line Out. BTW -- 600 ohms has not
been good engineering practice in audio for at least 40 years (since
the days of TUBES). Modern audio stages have LOW source impedances and
HIGH input impedances.

73,

Jim Brown K9YC



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Re: K3 Harmonic Distortion

Jack Smith-6
In reply to this post by Brendan Minish
Brendan:

You might wish to look at the measurements I made, with LIN OUT settings
from 2 to 100.  There's an animated GIF that steps through the LIN OUT
settings so you can see  the effect. The data was  taken at 600 Hz.
http://www.cliftonlaboratories.com/elecraft_k3_receive_audio.htm about
half way down the page

Like you, I see a relatively constant 45 dB or so offset between the
fundamental and 3rd harmonic for LIN OUT values of 10 and over.

However, setting the LIN OUT at 2 results in quite a bit better odd
order harmonic suppression, on the order of nearly 70 dB. By the time
LIN OUT is set to 5, however, the odd order suppression is reduced to a
bit more than 60 dB. At LIN OUT = 10, it's 45 dB or so where it stays at
all values of LIN OUT tested between 10 and 100.

(For some reason, the 2nd harmonic pops up at certain settings, but not
others higher or lower, but that's not of immediate concern.)

There's a  related issue with the AGC. The audio output is proportional
to RF signal level, as the AGC has a slope to it. Hence, even though the
LIN OUT might be set to, say, 2, the actual audio level and hence the
distortion, will vary as the RF signal level changes. The degree of
audio level variation with RF input changes depends on how the user has
set the K3's AGC slope and intercept parameters.

I'll make  the measurements on a couple of TTC-108 parts when they
arrive as a matter of trying to understand where the harmonic distortion
arises. To duplicate the K3's audio chain, I'll drive the TTC-108s from
an op-amp so that it will be hit with a low Z source, instead of the
standard audio generators available to me, with 50 or 600 ohm output Z.

Jack


Brendan Minish wrote:

> Jack
>
> I have seen postings on the main reflector recommending settings as low
> as 3 to avoid distortion products that are being attributed to
> transformer distortion. This did not really make sense to me, especially
> at such low levels where consumer sound cards tend to get non-linear and
> nasty.
>
> I took a look at the specifications for the TTC-108 audio transformer
> used in the line out of the K3
>
> Nominally it's specified as having an operating level of -45dBm to
> +7dBm
> THD is specified at 0.5% @0dBm 300Hz to 3.5 Khz @ 0dBm
> this would make the transformer related harmonics worst case at -46dB
> relative to the fundamental  
>
> I did some measurements with an s9 CW signal zero beat at various pitch
> settings
> I used an old copy of SMAART pro that I have from my Sound engineering
> days. the sound card is a delta44
>
> Lin = 100       Pitch 300       pitch 550       pitch 800
> DR3             47.3dB          51.4dB          54dB
>
> Lin = 50        Pitch 300       Pitch 550       Pitch 800
> DR3             43.1dB          47.6dB          50.6dB
>
> Lin = 10        Pitch 300       Pitch 550       Pitch 800
> DR3             35dB            39.7dB          43.1dB
>
> Lin = 5         Pitch 300       Pitch 550       Pitch 800
> DR3             31.9dB          37.7dB          42.7dB
>
> Lin = 3         Pitch 300       Pitch 550       Pitch 800
> DR3             31dB            40.3db          47.6dB
>
> DR3 is the Dynamic range between the fundamental and the 3rd harmonic
> (the most dominant harmonic by a wide margin)
>
> I did a quick look at 5th and 7th orders too, again the best performance
> here was found with LIN = 100  
>
> LIN = 100 is an output level of approximately 700mv for an S9 CW sig on
> my K3
>
> The Harmonic distortion does not increase with higher line out levels,
> it actually improves. This does not appear to be a transformer
> saturation issue
>
> With lin = 100 users will see a ghost on the waterfall and may risk
> over-driving some consumer sound cards. lowering LIN may get rid of the
> visible ghost by reducing the 3rd Harmonic to below the waterfall
> threshold (& perhaps the sound card input noise floor ) but also reduces
> the overall usable dynamic range  
>
>
> 73
> Brendan EI6IZ
>
>  
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Re: K3 Harmonic Distortion

KK7P
In reply to this post by Jack Smith-6
There are three distinct audio channels in the K3, and they all have
slightly different characteristics.

LINE OUT

This has its own digital-to-analog converter (DAC) and is transformer
isolated.

PHONES

This shares a DAC with the speaker channel, but has its own amplifier
and isolating resistors to help reduce the impact of plugging in two
sets of headphones.

SPEAKER

This shares a DAC with the headphones, but has its own stereo amplifier.

We are aware of the discussions regarding harmonic distortion and IMD.
While it is easy to just say, "The radio meets specs!" (it does :-) we
are looking at ways to improve the performance of the entire audio system.

73,

Lyle KK7P

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Re: K3 Harmonic Distortion

Brendan Minish
In reply to this post by Jack Smith-6
On Tue, 2008-09-02 at 12:28 -0400, Jack Smith wrote:

>
> However, setting the LIN OUT at 2 results in quite a bit better odd
> order harmonic suppression, on the order of nearly 70 dB.

This might be due to simply running out of usable bits to represent
accurately the harmonics at the low end of the K3 internal D to A side
of things.

> By the time
> LIN OUT is set to 5, however, the odd order suppression is reduced to a
> bit more than 60 dB. At LIN OUT = 10, it's 45 dB or so where it stays at
> all values of LIN OUT tested between 10 and 100.

The issue I have with this is that even with a quiet 24Bit semi Pro card
but the time you go to Lin = 2 you are some 40dB down on Full scale
input on the sound card assuming Consumer line level

Leaving aside all other noise sources  this only leaves you with 40 to
50dB or so usable dynamic range.
On the other hand if you run near flat out your wanted signal (along
with the unwanted harmonics ..) are way above soundcard input amp &
mixer noise, induced magnetic noise due to the unscreened transformer,
Noise picked up internally in the PC etc.

This is why I suspect that realworld results will in fact be better at
the hotter levels.

Visible waterfall ghosts can be resolved by setting your waterfall
dynamic range and sensitivity appropriately


73
Brendan EI6IZ

--
Don‘t complain. Nobody will understand. Or care. And certainly don‘t try
to fix the situation yourself. It‘s dangerous. Leave it to a highly
untrained, unqualified, expendable professional.

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Re: K3 Harmonic Distortion

Doug Faunt N6TQS +1-510-655-8604
In reply to this post by KK7P
   Date: Tue, 02 Sep 2008 09:34:31 -0700
   From: Lyle Johnson <[hidden email]>

   There are three distinct audio channels in the K3, and they all have
   slightly different characteristics.

   LINE OUT

   This has its own digital-to-analog converter (DAC) and is transformer
   isolated.

   PHONES

   This shares a DAC with the speaker channel, but has its own amplifier
   and isolating resistors to help reduce the impact of plugging in two
   sets of headphones.

   SPEAKER

   This shares a DAC with the headphones, but has its own stereo amplifier.

   We are aware of the discussions regarding harmonic distortion and IMD.
   While it is easy to just say, "The radio meets specs!" (it does :-) we
   are looking at ways to improve the performance of the entire audio system.

And you have lots of help, too!!!  I'm sure sorting it all out is
sometimes difficult, but....

73, doug
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Re: K3 Harmonic Distortion

KK7P
In reply to this post by Jack Smith-6
There are three distinct stereo audio channels in the K3, and they all
have slightly different characteristics.

LINE OUT

This has its own digital-to-analog converter (DAC) and is transformer
isolated.

PHONES

This shares a DAC with the speaker channel, but has its own amplifier
and isolating resistors to help reduce the impact of plugging in two
sets of headphones.

SPEAKER

This shares a DAC with the headphones, but has its own stereo amplifier.

We are aware of the discussions regarding harmonic distortion in these
audio paths. While it is easy to just say, "The radio meets specs!" (and
it does :-) we are looking at ways to improve the performance of the
entire audio system.

73,

Lyle KK7P



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Re: K3 Harmonic Distortion

Stewart Baker
In reply to this post by Jack Smith-6
I find virtually the same results here using  50uV RF from an
Elecraft signal source, and measuring using Wave Spectra.
An offset of 43 to 45dB, and below LIN OUT = 5 the harmonics drop
rapidly.

73
Stewart G3RXQ
On Tue, 02 Sep 2008 12:28:02 -0400, Jack Smith wrote:
> Brendan:
>
> You might wish to look at the measurements I made, with LIN OUT
settings
> from 2 to 100.  There's an animated GIF that steps through the
LIN OUT
> settings so you can see  the effect. The data was  taken at 600
Hz.
> http://www.cliftonlaboratories.com/elecraft_k3_receive_audio.htm 
about
> half way down the page
>
> Like you, I see a relatively constant 45 dB or so offset between
the
> fundamental and 3rd harmonic for LIN OUT values of 10 and over.
>
> However, setting the LIN OUT at 2 results in quite a bit better
odd
> order harmonic suppression, on the order of nearly 70 dB. By the
time
> LIN OUT is set to 5, however, the odd order suppression is
reduced to a
> bit more than 60 dB. At LIN OUT = 10, it's 45 dB or so where it
stays at
> all values of LIN OUT tested between 10 and 100.
>
> (For some reason, the 2nd harmonic pops up at certain settings,
but not
> others higher or lower, but that's not of immediate concern.)
>
> There's a  related issue with the AGC. The audio output is
proportional
> to RF signal level, as the AGC has a slope to it. Hence, even
though the
> LIN OUT might be set to, say, 2, the actual audio level and
hence the
> distortion, will vary as the RF signal level changes. The degree
of
> audio level variation with RF input changes depends on how the
user has
> set the K3's AGC slope and intercept parameters.
>
> I'll make  the measurements on a couple of TTC-108 parts when
they
> arrive as a matter of trying to understand where the harmonic
distortion
> arises. To duplicate the K3's audio chain, I'll drive the
TTC-108s from
> an op-amp so that it will be hit with a low Z source, instead of
the
> standard audio generators available to me, with 50 or 600 ohm
output Z.
>
> Jack
>
>
> Brendan Minish wrote:
>> Jack
>>
>> I have seen postings on the main reflector recommending
settings as low
>> as 3 to avoid distortion products that are being attributed to
>> transformer distortion. This did not really make sense to me,
especially
>> at such low levels where consumer sound cards tend to get
non-linear and
>> nasty.
>>
>> I took a look at the specifications for the TTC-108 audio
transformer
>> used in the line out of the K3
>>
>> Nominally it's specified as having an operating level of -45dBm
to
>> +7dBm
>> THD is specified at 0.5% @0dBm 300Hz to 3.5 Khz @ 0dBm
>> this would make the transformer related harmonics worst case at
-46dB
>> relative to the fundamental
>>
>> I did some measurements with an s9 CW signal zero beat at
various pitch
>> settings
>> I used an old copy of SMAART pro that I have from my Sound
engineering

>> days. the sound card is a delta44
>>
>> Lin = 100       Pitch 300       pitch 550       pitch 800
>> DR3             47.3dB          51.4dB          54dB
>>
>> Lin = 50        Pitch 300       Pitch 550       Pitch 800
>> DR3             43.1dB          47.6dB          50.6dB
>>
>> Lin = 10        Pitch 300       Pitch 550       Pitch 800
>> DR3             35dB            39.7dB          43.1dB
>>
>> Lin = 5         Pitch 300       Pitch 550       Pitch 800
>> DR3             31.9dB          37.7dB          42.7dB
>>
>> Lin = 3         Pitch 300       Pitch 550       Pitch 800
>> DR3             31dB            40.3db          47.6dB
>>
>> DR3 is the Dynamic range between the fundamental and the 3rd
harmonic
>> (the most dominant harmonic by a wide margin)
>>
>> I did a quick look at 5th and 7th orders too, again the best
performance
>> here was found with LIN = 100
>>
>> LIN = 100 is an output level of approximately 700mv for an S9
CW sig on
>> my K3
>>
>> The Harmonic distortion does not increase with higher line out
levels,
>> it actually improves. This does not appear to be a transformer
>> saturation issue
>>
>> With lin = 100 users will see a ghost on the waterfall and may
risk
>> over-driving some consumer sound cards. lowering LIN may get
rid of the
>> visible ghost by reducing the 3rd Harmonic to below the
waterfall
>> threshold (& perhaps the sound card input noise floor ) but
also reduces

>> the overall usable dynamic range
>>
>>
>> 73
>> Brendan EI6IZ
>>
>>
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Re: K3 Harmonic Distortion

Jim Brown-10
In reply to this post by Brendan Minish
On Tue, 02 Sep 2008 17:06:29 +0100, Brendan Minish wrote:

>I used an old copy of SMAART pro that I have from my Sound
engineering
>days.

I have that software, and have long used it to analyze ham filters.

>the sound card is a delta44

I don't know this card, but it's own noise floor (or input stage) may
be the limiting factor.

Look at the first data set in

http://audiosystemsgroup.com/K3FilterStudy.pdf

The black curve (the Headphone output) and the red curve (Lin Out) are
set to produce the SAME output level, but the harmonic distortion is
55 dB stronger at the Line Output!  The difference between the LF
traces is IM, and is also significantly greater at the Headphone
output. Notice also the dynamic range of this measurement, which is 90
dB. The excitation is band noise, so there's another 10 dB or so
between the top of the screen and digital clip.

My measurement system is EASERA SysTune (considerably more advanced
than Smaart Pro), and the input device is the EASRA Gateway, which has
a 24-bit A/D and Firewire interface. I'm fairly confident that the
noise floor in my measurements is the radio, not the measurement
system!  

That first data screen shows 3rd harmonic at -55 dB for a gain setting
of 1 (and that is the noise floor of the radio). At a gain setting of
2, it's -54 dB. At a gain setting of 3, it's -49 dB. At a gain setting
of 5, it's -40 dB. For a setting of 10, it's -28 dB, and at 20, it's -
29 dB.

Note also the very significant difference in excitation. My test
signal is not a CW signal, but broadband noise from an antenna, band-
limited by the IF filters. Your test signal is a sine wave. My test
signal is somewhat representative of trying to copy a signal in QRN,
or pick one signal out of many in a contest. Your signal is
representative of a test bench or a signal with little or no noise on
it. As I'm sure you know, those of us working in pro audio find pink
noise far more useful than sine waves help us hear real world problems
in systems.  

73,

Jim Brown K9YC



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Re: K3 Harmonic Distortion

Alexandr Kobranov
In reply to this post by KK7P
Hi Lyle,

only to be sure - if I have in CONFIG: LINE OUT - PHONES which D/A is
used - this one for SP/PHONES ?

Then LINE OUT level is controlled by AF knob so I suppose that PH/SP
channel is used but not sure.

Thanks

Lexa, OK1DST



Lyle Johnson napsal(a):

> There are three distinct stereo audio channels in the K3, and they all
> have slightly different characteristics.
>
> LINE OUT
>
> This has its own digital-to-analog converter (DAC) and is transformer
> isolated.
>
> PHONES
>
> This shares a DAC with the speaker channel, but has its own amplifier
> and isolating resistors to help reduce the impact of plugging in two
> sets of headphones.
>
> SPEAKER
>
> This shares a DAC with the headphones, but has its own stereo amplifier.
>
> We are aware of the discussions regarding harmonic distortion in these
> audio paths. While it is easy to just say, "The radio meets specs!" (and
> it does :-) we are looking at ways to improve the performance of the
> entire audio system.
>
> 73,
>
> Lyle KK7P
>
>
>
> _______________________________________________
> Elecraft mailing list
> Post to: [hidden email]
> You must be a subscriber to post to the list.
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Re: K3 Harmonic Distortion

KK7P
> only to be sure - if I have in CONFIG: LINE OUT - PHONES which D/A is
> used - this one for SP/PHONES ?

LINE OUT is always driven by the LINE OUT DAC.

73,

Lyle KK7P

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RE: K3 Harmonic Distortion

Joe Subich, W4TV-3
In reply to this post by Stewart Baker

The issue isn't the LINE OUT level, it is the voltage level.  If
you leave the AGC on and AGC SLP > 11 the voltage with an S9 (-73
dBm) signal will not exceed 1V peak (.77 V RMS) and you will not
see distortion products through the transformer.   If you set
turn of the AGC an/or set AGC SLP < 10, the transformers (or audio
amplifier) can be easily overdriven and the distortion products
will rise significantly - even to the point that harmonics through
the 10th or higher are down less than 10 dB.

With the line out the entire issue is keeping LINE OUT below 1V
Peak.  There are other sues with the headphone and speaker output
and I'll address them elsewhere.

73,

   ... Joe, W4TV
 


> -----Original Message-----
> From: [hidden email]
> [mailto:[hidden email]] On Behalf Of Stewart Baker
> Sent: Tuesday, September 02, 2008 12:59 PM
> To: Jack Smith; Brendan Minish
> Cc: Elecraft
> Subject: Re: [Elecraft] K3 Harmonic Distortion
>
>
> I find virtually the same results here using  50uV RF from an
> Elecraft signal source, and measuring using Wave Spectra.
> An offset of 43 to 45dB, and below LIN OUT = 5 the harmonics drop
> rapidly.
>
> 73
> Stewart G3RXQ
> On Tue, 02 Sep 2008 12:28:02 -0400, Jack Smith wrote:
> > Brendan:
> >
> > You might wish to look at the measurements I made, with LIN OUT
> settings
> > from 2 to 100.  There's an animated GIF that steps through the
> LIN OUT
> > settings so you can see  the effect. The data was  taken at 600
> Hz.
> > http://www.cliftonlaboratories.com/elecraft_k3_receive_audio.htm
> about
> > half way down the page
> >
> > Like you, I see a relatively constant 45 dB or so offset between
> the
> > fundamental and 3rd harmonic for LIN OUT values of 10 and over.
> >
> > However, setting the LIN OUT at 2 results in quite a bit better
> odd
> > order harmonic suppression, on the order of nearly 70 dB. By the
> time
> > LIN OUT is set to 5, however, the odd order suppression is
> reduced to a
> > bit more than 60 dB. At LIN OUT = 10, it's 45 dB or so where it
> stays at
> > all values of LIN OUT tested between 10 and 100.
> >
> > (For some reason, the 2nd harmonic pops up at certain settings,
> but not
> > others higher or lower, but that's not of immediate concern.)
> >
> > There's a  related issue with the AGC. The audio output is
> proportional
> > to RF signal level, as the AGC has a slope to it. Hence, even
> though the
> > LIN OUT might be set to, say, 2, the actual audio level and
> hence the
> > distortion, will vary as the RF signal level changes. The degree
> of
> > audio level variation with RF input changes depends on how the
> user has
> > set the K3's AGC slope and intercept parameters.
> >
> > I'll make  the measurements on a couple of TTC-108 parts when
> they
> > arrive as a matter of trying to understand where the harmonic
> distortion
> > arises. To duplicate the K3's audio chain, I'll drive the
> TTC-108s from
> > an op-amp so that it will be hit with a low Z source, instead of
> the
> > standard audio generators available to me, with 50 or 600 ohm
> output Z.
> >
> > Jack
> >
> >
> > Brendan Minish wrote:
> >> Jack
> >>
> >> I have seen postings on the main reflector recommending
> settings as low
> >> as 3 to avoid distortion products that are being attributed to
> >> transformer distortion. This did not really make sense to me,
> especially
> >> at such low levels where consumer sound cards tend to get
> non-linear and
> >> nasty.
> >>
> >> I took a look at the specifications for the TTC-108 audio
> transformer
> >> used in the line out of the K3
> >>
> >> Nominally it's specified as having an operating level of -45dBm
> to
> >> +7dBm
> >> THD is specified at 0.5% @0dBm 300Hz to 3.5 Khz @ 0dBm
> >> this would make the transformer related harmonics worst case at
> -46dB
> >> relative to the fundamental
> >>
> >> I did some measurements with an s9 CW signal zero beat at
> various pitch
> >> settings
> >> I used an old copy of SMAART pro that I have from my Sound
> engineering
> >> days. the sound card is a delta44
> >>
> >> Lin = 100       Pitch 300       pitch 550       pitch 800
> >> DR3             47.3dB          51.4dB          54dB
> >>
> >> Lin = 50        Pitch 300       Pitch 550       Pitch 800
> >> DR3             43.1dB          47.6dB          50.6dB
> >>
> >> Lin = 10        Pitch 300       Pitch 550       Pitch 800
> >> DR3             35dB            39.7dB          43.1dB
> >>
> >> Lin = 5         Pitch 300       Pitch 550       Pitch 800
> >> DR3             31.9dB          37.7dB          42.7dB
> >>
> >> Lin = 3         Pitch 300       Pitch 550       Pitch 800
> >> DR3             31dB            40.3db          47.6dB
> >>
> >> DR3 is the Dynamic range between the fundamental and the 3rd
> harmonic
> >> (the most dominant harmonic by a wide margin)
> >>
> >> I did a quick look at 5th and 7th orders too, again the best
> performance
> >> here was found with LIN = 100
> >>
> >> LIN = 100 is an output level of approximately 700mv for an S9
> CW sig on
> >> my K3
> >>
> >> The Harmonic distortion does not increase with higher line out
> levels,
> >> it actually improves. This does not appear to be a transformer
> >> saturation issue
> >>
> >> With lin = 100 users will see a ghost on the waterfall and may
> risk
> >> over-driving some consumer sound cards. lowering LIN may get
> rid of the
> >> visible ghost by reducing the 3rd Harmonic to below the
> waterfall
> >> threshold (& perhaps the sound card input noise floor ) but
> also reduces
> >> the overall usable dynamic range
> >>
> >>
> >> 73
> >> Brendan EI6IZ
> >>
> >>
> > _______________________________________________
> > Elecraft mailing list
> > Post to: [hidden email]
> > You must be a subscriber to post to the list.
> > Subscriber Info (Addr. Change, sub, unsub etc.):
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> >
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> > Elecraft web page: http://www.elecraft.com
>
>
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Re: K3 Harmonic Distortion

Brendan Minish
In reply to this post by Berni G0IDA
In my previous posting I referenced to a couple of plots I made of the
Line output using a wideband RF noise source
I put the 2 plots on my blog here

http://ei6iz.com/?p=22

73
Brendan EI6IZ  

--
Don‘t complain. Nobody will understand. Or care. And certainly don‘t try
to fix the situation yourself. It‘s dangerous. Leave it to a highly
untrained, unqualified, expendable professional.

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RE: K3 Harmonic Distortion

Joe Subich, W4TV-3
In reply to this post by Mike Harris-9

VP8NO writes:

> Perhaps someone suitably qualified and tooled up might like to try and
> [repeat] and comment upon the view presented by Rob Sherwood at the
> Dayton convention.  According to him the K3 audio amp stage has
> serious shortcomings.

I had to listen to the audio of Sherwood's talk before looking
in the right area.  First, Rob doesn't say the K3 audio has
serious shortcomings, he complains about distortion on the
speaker.  Sherwood also admits that using a high impedance
speaker (e.g., amplified computer speakers) or high impedance
headphones resolves the issue!

My measurements did not show that distortion but I was measuring
at the headphone output with a high impedance load - the lowest
impedance headphones I use are 32 Ohms.  As Jack Smith points
out, the headphones and the speakers have separate audio
amplifiers but share a common DAC.

Since Sherwood's comments were based on the speaker output and
a LOW impedance load, I dragged out an old Optimus XTX25 speaker
- an unpowered 8 Ohm speaker I've used with other radios for many
years.  With the 8 Ohm speaker is was easy to generate harmonic
distortion - particularly if the K3 were set to SPKRS = 2 with
only one speaker connected - simply by turning up the volume
until the amplifier was forced into clipping/saturation!  

With the 8 Ohm speaker, 1 to 2V peak represents a comfortable
to loud listening level for me.  At those levels, the harmonics
are all down more than 65 dB and any other distortion is very
acceptable.  

The following table shows harmonic levels relative to a 500 Hz
reference tone at the given voltage across the speaker.  0 dB
is 1V Peak (.707V RMS).  +10 dB represents 2.25V RMS (signal +
distortion).  +13 dB is 3.2V RMS (the speaker amplifier is in
the compression region at the threshold of clipping) and +15
dB is 4V RMS (the speaker amplifier is in hard clipping).

Reference    2nd   3rd   4th   5th   6th   7th   8th   9th
============================================================
+15 dB       -37   -15   -45   -26   -60   -43   -51   -37
+13 dB       -49   -31   -51   -35   -57   -39   -63   -49
+10 dB       -70   -68   -95   -67   -85   -69   -85   -73
  0 dB       -66   -74   -70   -77   -73   -76   -77   -80
-10 dB       -54   -66   -63   -90   -73   -82   -80   -87
-20 dB       -50   -78   -68   -74   -73   -74   -74   -78    

In order to drive the audio amplifier hard enough to create
the distortion, it was necessary to disable the AGC or set
AGC SLP to low values (reduce the AGC reduction for strong
signals).  

Again, as in the case of the Line Out, if the audio gain,  
AGC and RF gain are operated to keep the speaker amplifier
out of the clipping range - or away from the compression
region just before clipping - the distortion products are
entirely acceptable.  For those with noisy shacks, impaired
hearing or using the internal speaker it may be difficult
to find a comfortable listening level without entering the
compression region.  

For those who wish to operate without AGC and with maximum
RF gain, I would suggest setting the AF gain to a moderate
level and using powered (computer) speakers or a 100 watt
per channel stereo amplifier capable of outputs greater
than the 1 watt per channel at .1% THD+N specified for the
LM4950 with an 8 Ohm load!  Note, simply going from 8 to
16 Ohm speakers will improve THD by 8 dB.

73,

   ... Joe, W4TV
 

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RE: K3 Harmonic Distortion

alsopb
Clearly I must be missing something.

In my view, all the reported distortion numbers are beyond expectations.
After all you are buying a $2K radio, not a many kilobuck audio system.

The "problems" people are having with "harmonics" when they listen to CW with a 2.7KHz filter/DSP setting seem to be easily solved by just reducing the DSP bandwidth.  The last resort solution is to get a few years older and you won't hear them.

Workarounds for other problems seem to given in the postings.

I personally hear and see nothing objectional given the above perspective.


73 de Brian/K3KO


Joe Subich, W4TV-3 wrote
VP8NO writes:

> Perhaps someone suitably qualified and tooled up might like to try and
> [repeat] and comment upon the view presented by Rob Sherwood at the
> Dayton convention.  According to him the K3 audio amp stage has
> serious shortcomings.

I had to listen to the audio of Sherwood's talk before looking
in the right area.  First, Rob doesn't say the K3 audio has
serious shortcomings, he complains about distortion on the
speaker.  Sherwood also admits that using a high impedance
speaker (e.g., amplified computer speakers) or high impedance
headphones resolves the issue!

My measurements did not show that distortion but I was measuring
at the headphone output with a high impedance load - the lowest
impedance headphones I use are 32 Ohms.  As Jack Smith points
out, the headphones and the speakers have separate audio
amplifiers but share a common DAC.

Since Sherwood's comments were based on the speaker output and
a LOW impedance load, I dragged out an old Optimus XTX25 speaker
- an unpowered 8 Ohm speaker I've used with other radios for many
years.  With the 8 Ohm speaker is was easy to generate harmonic
distortion - particularly if the K3 were set to SPKRS = 2 with
only one speaker connected - simply by turning up the volume
until the amplifier was forced into clipping/saturation!  

With the 8 Ohm speaker, 1 to 2V peak represents a comfortable
to loud listening level for me.  At those levels, the harmonics
are all down more than 65 dB and any other distortion is very
acceptable.  

The following table shows harmonic levels relative to a 500 Hz
reference tone at the given voltage across the speaker.  0 dB
is 1V Peak (.707V RMS).  +10 dB represents 2.25V RMS (signal +
distortion).  +13 dB is 3.2V RMS (the speaker amplifier is in
the compression region at the threshold of clipping) and +15
dB is 4V RMS (the speaker amplifier is in hard clipping).

Reference    2nd   3rd   4th   5th   6th   7th   8th   9th
============================================================
+15 dB       -37   -15   -45   -26   -60   -43   -51   -37
+13 dB       -49   -31   -51   -35   -57   -39   -63   -49
+10 dB       -70   -68   -95   -67   -85   -69   -85   -73
  0 dB       -66   -74   -70   -77   -73   -76   -77   -80
-10 dB       -54   -66   -63   -90   -73   -82   -80   -87
-20 dB       -50   -78   -68   -74   -73   -74   -74   -78    

In order to drive the audio amplifier hard enough to create
the distortion, it was necessary to disable the AGC or set
AGC SLP to low values (reduce the AGC reduction for strong
signals).  

Again, as in the case of the Line Out, if the audio gain,  
AGC and RF gain are operated to keep the speaker amplifier
out of the clipping range - or away from the compression
region just before clipping - the distortion products are
entirely acceptable.  For those with noisy shacks, impaired
hearing or using the internal speaker it may be difficult
to find a comfortable listening level without entering the
compression region.  

For those who wish to operate without AGC and with maximum
RF gain, I would suggest setting the AF gain to a moderate
level and using powered (computer) speakers or a 100 watt
per channel stereo amplifier capable of outputs greater
than the 1 watt per channel at .1% THD+N specified for the
LM4950 with an 8 Ohm load!  Note, simply going from 8 to
16 Ohm speakers will improve THD by 8 dB.

73,

   ... Joe, W4TV
 

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RE: K3 Harmonic Distortion

Joe Subich, W4TV-3


> The "problems" people are having with "harmonics" when they
> listen to CW with a 2.7KHz filter/DSP setting seem to be
> easily solved by just reducing the DSP bandwidth.

Reducing the DSP bandwidth will not resolve the harmonics
generated in the speaker amplifier and/or Line Out circuits.

The solution is simply not pushing the output gain and keeping
the output under 1V peak and use high impedance devices.  With
the speaker amplifier 800 mW into a 16 Ohm speaker shows less
than .01% THD+N - if more audio is necessary 1V peak will easily
drive a good quality 100 watt per channel stereo system.  With
Line Out, 1V peak is plenty for good s/n soundcard operation.

73,

   ... Joe, W4TV
   




> -----Original Message-----
> From: [hidden email]
> [mailto:[hidden email]] On Behalf Of alsopb
> Sent: Wednesday, September 03, 2008 9:39 AM
> To: [hidden email]
> Subject: RE: [Elecraft] K3 Harmonic Distortion
>
>
>
> Clearly I must be missing something.
>
> In my view, all the reported distortion numbers are beyond
> expectations. After all you are buying a $2K radio, not a
> many kilobuck audio system.
>
> The "problems" people are having with "harmonics" when they
> listen to CW with a 2.7KHz filter/DSP setting seem to be
> easily solved by just reducing the DSP bandwidth.  The last
> resort solution is to get a few years older and you won't hear
> them.
>
> Workarounds for other problems seem to given in the postings.
>
> I personally hear and see nothing objectional given the above
> perspective.
>
>
> 73 de Brian/K3KO
>
>
>
> Joe Subich, W4TV-3 wrote:
> >
> >
> > VP8NO writes:
> >
> >> Perhaps someone suitably qualified and tooled up might like to try
> >> and [repeat] and comment upon the view presented by Rob
> Sherwood at
> >> the Dayton convention.  According to him the K3 audio amp
> stage has
> >> serious shortcomings.
> >
> > I had to listen to the audio of Sherwood's talk before looking
> > in the right area.  First, Rob doesn't say the K3 audio has
> > serious shortcomings, he complains about distortion on the
> > speaker.  Sherwood also admits that using a high impedance
> > speaker (e.g., amplified computer speakers) or high impedance
> > headphones resolves the issue!
> >
> > My measurements did not show that distortion but I was measuring
> > at the headphone output with a high impedance load - the lowest
> > impedance headphones I use are 32 Ohms.  As Jack Smith points
> > out, the headphones and the speakers have separate audio
> > amplifiers but share a common DAC.
> >
> > Since Sherwood's comments were based on the speaker output and
> > a LOW impedance load, I dragged out an old Optimus XTX25 speaker
> > - an unpowered 8 Ohm speaker I've used with other radios for many
> > years.  With the 8 Ohm speaker is was easy to generate harmonic
> > distortion - particularly if the K3 were set to SPKRS = 2 with
> > only one speaker connected - simply by turning up the volume
> > until the amplifier was forced into clipping/saturation!  
> >
> > With the 8 Ohm speaker, 1 to 2V peak represents a comfortable
> > to loud listening level for me.  At those levels, the harmonics
> > are all down more than 65 dB and any other distortion is very
> > acceptable.  
> >
> > The following table shows harmonic levels relative to a 500 Hz
> > reference tone at the given voltage across the speaker.  0 dB
> > is 1V Peak (.707V RMS).  +10 dB represents 2.25V RMS (signal +
> > distortion).  +13 dB is 3.2V RMS (the speaker amplifier is in
> > the compression region at the threshold of clipping) and +15
> > dB is 4V RMS (the speaker amplifier is in hard clipping).
> >
> > Reference    2nd   3rd   4th   5th   6th   7th   8th   9th
> > ============================================================
> > +15 dB       -37   -15   -45   -26   -60   -43   -51   -37
> > +13 dB       -49   -31   -51   -35   -57   -39   -63   -49
> > +10 dB       -70   -68   -95   -67   -85   -69   -85   -73
> >   0 dB       -66   -74   -70   -77   -73   -76   -77   -80
> > -10 dB       -54   -66   -63   -90   -73   -82   -80   -87
> > -20 dB       -50   -78   -68   -74   -73   -74   -74   -78    
> >
> > In order to drive the audio amplifier hard enough to create
> > the distortion, it was necessary to disable the AGC or set
> > AGC SLP to low values (reduce the AGC reduction for strong
> > signals).  
> >
> > Again, as in the case of the Line Out, if the audio gain,
> > AGC and RF gain are operated to keep the speaker amplifier
> > out of the clipping range - or away from the compression
> > region just before clipping - the distortion products are
> > entirely acceptable.  For those with noisy shacks, impaired
> > hearing or using the internal speaker it may be difficult
> > to find a comfortable listening level without entering the
> > compression region.  
> >
> > For those who wish to operate without AGC and with maximum
> > RF gain, I would suggest setting the AF gain to a moderate
> > level and using powered (computer) speakers or a 100 watt
> > per channel stereo amplifier capable of outputs greater
> > than the 1 watt per channel at .1% THD+N specified for the
> > LM4950 with an 8 Ohm load!  Note, simply going from 8 to
> > 16 Ohm speakers will improve THD by 8 dB.
> >
> > 73,
> >
> >    ... Joe, W4TV
> >  
> >


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