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Unformatted text preview: ECE130B March 1, 2010 Homework 9 Due Date : March 8, 2010 Reading : Chapter 10 of the text book. Inverse system . Given a system A, its inverse is a system B, such that the cascade of the two systems acts as the identity system. By this we mean that for any input signal x [ n ] , for which the output of system A is well-defined, the output of the cascade of A and B should be just x [ n ] . Exercise 1. The input x [ n ] and output y [ n ] of an LTI system satisfy the relationship y [ n + 4]- y [ n- 4] = x [ n ] . A) Draw a discrete circuit that could realize this system. B) Find the impulse response h [ n ] , if the system is causal. Is the system stable? If not, can you find a bounded input signal for which the output signal grows unboundedly? Hint : You can find the impulse response directly without using zero-input reponses. C) Find the impulse response h [ n ] if the system is anti-causal (that is h [ n ] = 0 for n > ). Is the system stable?...
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This note was uploaded on 04/06/2010 for the course ECE 130b taught by Professor Staff during the Winter '08 term at UCSB.
- Winter '08