<p>A bandpass filter with a center frequency of 6kHz, a 3dB banwidth of 1 kHz, a

Question

<p>A bandpass filter with a center frequency of 6kHz, a 3dB banwidth of 1 kHz, and a 50 dB bandwidth of 2kHz is connected to a signal generator that outputs a one volt square wave at a frequency of 2kHz. A spectrum analyzer is connected to the filter output.</p>
<p>What frequencies would you expect to see on the spectrum analyzer?</p>
<p>Please be thorough about the answer, I have not taken a signals class in quite some time and always had truble understanding this conceptually and mathematically.</p>

Explanation / Answer

if u take the fourier transform of a square wave u will see that the signal has some strength in all the harmonic frequencies of its base frequency that is 2kHz now it has some signal strength at 4,6,8,10 and -4,-6,-8,-10 now the band pass filter only allows signal b/w 6-2 to 6+2 (cosidering 50 dB cutoff) the spectrum analyzer would detect frequencies at 4,6,8,and -4,-6,-8 it should also noted that the signal strength is very weak at 4 ,8,-4,-8 due to filter cutoff

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