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Equation for band stop filter

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aperham

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show that below equivalent introduce a band stop filter:
y=[e^x'(t)]cos(wt+x(t))
x'(t) is the hilbert transformation of x(t).
 

Re: band stop filter

Hi,

as an example case, i took x(t) to be sin(t) and x'(t) would then be -cos(t). and then i implemented the formula u have given in matlab as,

y = exp(-cos(2 * pi * 10 * t)) .* cos( 2 * pi * f1 * t + sin(2* pi * 10 * t));

here, i dint know what to assume for f1... i took the value as the 10 Hz input sine wave itself. i took the transform of y and divided by transform of sin(t) which is x(t) to get the frequency response H(w) and took the ifft to get impulse response h(t). and i used freqz(h) to get the mag and phase response.

And, It dint look like a band stop filter... What did I do wrong here? If this question is right to be proved...

regards,
cedance.
 

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