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    Impulse response using inverse discrete-time Fourier transform.

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    An ideal low-pass filter is described in the frequency-domain by

    H_d(e^(jw)) = 1 . e^(-jaw) , |w| <= w_c
    0 , w_c < |w| <= PI

    where w_c is called the cutoff frequency and a (denoting symbol alpha) is called the phase delay.

    Determine the ideal impulse response h_d(n) using the inverse discrete-time Fourier transform.

    Please note that notation X_y indicates "X subscript y" in above description.

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    Solution Preview

    Let hd[n] be the time-domain impulse response and Hd(ejw) be its discrete-time fourier transform.:
    Time domain  frequency domain

    To solve this problem, we can ...

    Solution Summary

    The expert examines impulse response using inverse discrete-time Fourier transform.