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Consider a digital filter with impulse response given by [1/3 -1k1 otherwise. h[k] = {1/ (i) Calculate the transfer function of the filter. (ii)

Consider a digital filter with impulse response given by [1/3 -1k1 otherwise. h[k] = {1/ (i) Calculate the transfer function of the filter. (ii) Sketch the amplitude and phase responses of the filter with respect to frequency.

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