An ideal lowpass filter has a cutoff frequency of ω c = 0.4 π . We want to obtain a length

An ideal lowpass filter has a cutoff frequency of ω c = 0.4 π . We want to obtain a length L = 40 linear-phase FIR filter using the frequency-sampling method.

Let the sample at ω c be equal to 0.5. Obtain the resulting impulse response h [ n ]. Plot the log-magnitude response in dB and determine the minimum stopband attenuation.

Now vary the value of the sample at ω c (up to four decimals) and find the largest minimum stopband attenuation. Obtain the resulting impulse response h [ n ] and plot the log-magnitude response in dB in the plot window of (a).

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Compare your results with those obtained using the fir2 function (choose an appropriate window).

 

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