Andy,
Keep in mind that if you have tabular data then Microsoft Excel (as well as
other programs) can do a fourier analysis.
--
73 Warren K2ORS/WD2XGJ
FN42hi
http://www.w4dex.com/wd2xgj.htm
-------------- Original message ----------------------
From: "Andy" <[email protected]>
Yes - that's the obvious bit I was missing - go back to first principles and
do the actual Fourier transform on the waveform.
There ought to be a short cut, though, knowing the integral is finite and
contains total power in the signal. I had assumed the Dirichlet integral
converged, but didn't know the result, so maybe that is the way to go.
Tnx
Andy G4JNT
www.scrbg.org/g4jnt/
-----Original Message-----
From: Warren K2ORS/WD2XGJ <[email protected]>
To: [email protected] <[email protected]>;
[email protected] <[email protected]>
Cc: Andy <[email protected]>
Date: 2006/02/01 15:34
Subject: Re: LF: Can't see the wood for the trees
>Andy,
>
> Unless I'm missing the meaning of your question, I believe you want
the fourier coefficients to determine the amplitudes of the components
making up the pulse train. Also, should you feel the need to integrate
sin(x)/x, the so-called Dirichlet integral, it does converge and the
definite integral from 0 to infinity of sin(x)/x = pi/2. For reference see:
>http://www.pupress.princeton.edu/books/maor/chapter_10.pdf
>
> I'm in the middle of a project at the moment but let me know if I'm on the
right track - I could help with the fourier coefficients perhaps this
evening.
>
>--
>73 Warren K2ORS/WD2XGJ
>FN42hi
>http://www.w4dex.com/wd2xgj.htm
>
> -------------- Original message ----------------------
>From: "Andy" <[email protected]>
>> Can someone help with what should be obvious.
>>
>> I have a train of constant width pulses at a fixed repetition rate. In
the
>> frequency domain these appear as a spectral comb with spacing at the
>> repetition rate, whose amplitude follows a SIN(X) / X shape depending on
>> the pulse width, ie. the first null occuring at at 1/width and so on.
>>
>> What I'm getting tied up in knots trying to calculate is :
>>
>> What is the absolute amplitude (power) of just one individual tooth of
the
>> comb at any particular spacing.
>>
>> Assume the pulse waveform has, say, 1mW or 0dBm mean amplitude, and
>> consists of 500us pulses at 40Hz PRI. The duty cycle is 0.02, so the
>> individual pulse power would have to be 50mW or 17dBm to get this mean.
>> But what is the amplitude of the component at, say, 1kHz, or 1040Hz, or
>> 10kHz ??
>>
>> It must be obvious, but I keep feeling the urge to integrate SIN(X) / X
>> which is not funny and way beyond my maths capabilities!!
>>
>> The figures given above are those for the 5MHz beacon sounder sequence.
>> The amplitude trace on the monitoring software during the sounder
sequence
>> is measuring just one line of the comb ( F = 0, the carrier) , and
appears
>> to suggest this is about 30 - 35dB down on the CW part. That is -17dB
from
>> the peak/mean as above, but where does the other 13 - 18dB come from?
>>
>> Tearing hair out
>>
>> Andy G4JNT
>> www.scrbg.org/g4jnt/
>>
>>
>>
>
>
>
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