Question: It is desired to implement a continuous time system H.(j2) ((filtering) in discrete time using an ideal digital signal processor. The magnitude and phase

It is desired to implement a continuous time system H.(j2) ((filtering) in

It is desired to implement a continuous time system H.(j2) ((filtering) in discrete time using an ideal digital signal processor. The magnitude and phase of He(j) is depicted below. AL(2) 00:00 -5 1 52 C/D converter 1/2 Discrete lime filter h(n), (d) The ideal digital signal processor consists of a continuous to discrete converter, a digital filter H(e) and a discrete to continuous converter as depicted in the following figure. y (1) 52 D/C converter D overall system a) Sketch the effective frequency response of the overall system. b) Sketch the frequency response of the discrete time filter H(ew). c) Determine the impulse response of the discrete time filter h(n) such that the overall system is equivalent to the continuous time system He(jn). d) What should the maximum value of T be so that the discrete time implementation exactly matches the frequency response of the continuous time system for all frequencies of interest.

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