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Engineering · Electrical Engineering
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10.15 Consider the following problems for LTI discrete-time systems. (a) The input and the output of a LTI discrete-time system are n=0,3 Output y[n] = 2 n=1,2 0 otherwise 0 otherwise Find the transfer function H(z). (b) The transfer function of an LTI discrete-time system is 10.5z 1 0.25z1 H(z)- z z> 0.5 i. Is this system causal? Explain ii. Determine the impulse response of the system (c) The transfer function of an LTI system is z(z 1) What are the values ofh[0], h and h[10001 of the impulse response. Answers: (a) H(z) = 1 +z-ı + z-2, (b) causal; (c) h[ 10001 = 2

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