We want to use the frequency-sampling method to design a highpass filter with specifications: ω

We want to use the frequency-sampling method to design a highpass filter with specifications: ω s = 0.5 π , ω p = 0.65 π , A s = 50 dB, and A p = 1 dB.

Choose M = 31 so that there are two samples in the transition band. Using a raised-cosine transition obtain the filter impulse response. Provide a plot of the log-magnitude and impulse responses. Does this design satisfy the given specifications?

Repeat (a) using the fir2 function and the Hamming window. Does this design satisfy the given specifications?

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