"MUSIC"  was invented where Frank and I worked for over 20 years 
together in the middle 1960's.  It can be a problem living behind locked 
doors marked SHUT UP AS YOU LEAVE.  But your point is well taken.  One 
or more of these existing algorithms can be made to work.

There is a large body of literature all over the place but in especially 
the bistatic radar literature it is very popular where you are always 
working to find the weak signal amongst the yelling throng.  We will 
find something implementable that does not carry us into the next leap 
in Moore's law to accomplish.

Bob







Jim Lux wrote:
> At 11:41 AM 7/11/2007, Bob McGwier wrote:
>> Here is the grand experiment we are going to try when we finally get to
>> calm down from the Flex5000 rush to finish.   I have done enough
>> matlab/octave experimentation to expect it to work so long as we define
>> what it is we mean by work.
>>
>> Suppose you are listening to weak signal A.   Strong signal B comes on
>> and its main power is well out of your passband but the splatter or
>> sidebands are in your passband and harms your ability to hear signal
>> A.    The mathematical idea is that the portion of the signal B that is
>> in your passband is correlated with the "main" signal that is out of
>> your passband.  It is strongly correlated and we should be able to
>> derive a "filter" that will predict a version of the signal that is IN
>> your passband.  The property of the signal we will optimize on is to
>> reduce the energy of the interference to the best of our ability.   If
>> we get 20 dB reduction of the inband interference from an "out of band"
>> interferer, I will consider it a victory.   Much more than that and I
>> will consider it to be a major league success.
> 
> 
> 
> AKA an adaptive signal canceller.  You adapt to find the strongest 
> signal (in time/frequency, as with radar STAP), subtract it from the 
> input. Then find the next strongest signal, subtract it, etc.  MUSIC, 
> ESPRIT, etc. all implement various forms of this.
> 
> With something like PSK31 as the interfering signal (or, possibly CW, 
> and even more remotely possible, ssb voice), you've actually got some 
> side information as to the structure of the interfering signal, which 
> reduces the space over which the algorithm has to "work".  It's 
> basically a signal estimation problem, and there's a lot of theory 
> out there to draw from, both in radio and acoustics.
> 
> Early significant similar applications were cancelling 60 Hz 
> artifacts in EKG and EEGs by guys like Widrow in the 1960s. There was 
> a good review article in IEEE Proceedings in the late 70s, early80s 
> that talked about this. The papers by Schmidt describe how MUSIC 
> works quite nicely.  Lately, there's been a lot of work using 
> multiple antennas, so you get spectral, spatial, and temporal information.
> 
> 
> 
> Jim, W6RMK
> 
> 
> 
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> 


-- 
AMSAT Director and VP Engineering. Member: ARRL, AMSAT-DL,
TAPR, Packrats, NJQRP, QRP ARCI, QCWA, FRC. ARRL SDR WG Chair
"If you're going to be crazy, you have to get paid for it or
else you're going to be locked up." Hunter S. Thompson

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