EECS 152A, CSE 135A: Digital Signal Processing Computer Project #4 Due Dec. 2 in class 1. (Problem 7.9 from “Discrete-Time Signal Processing” (2 nd edition) by A. V. Oppenheim and R. W. Schafer) Suppose we design a discrete-time ﬁlter using the impulse invariance technique with an ideal continuous-time lowpass ﬁlter as a prototype. The prototype ﬁlter has a cutoﬀ frequency of Ω c = 2 π (1000)rad / s, and the impulse invariance transformation uses T = 0 . 2ms. What is the cutoﬀ frequency ω c for the resulting discrete-time ﬁlter? 2. (Problem 7.10 from “Discrete-Time Signal Processing” (2 nd edition) by A. V. Oppenheim and R. W. Schafer) We wish to design a discrete-time lowpass ﬁlter using the bilinear transformation on a continuous-time ideal lowpass ﬁlter. Assume that the continuous-time prototype has cutoﬀ fre-
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