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Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 3 2.5 2 1.5 1 0.5 0.8 0.6 0 0.4x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/TT (DT frequency normalized by π) H(ela N 0.2 0 -0.2π -0.4 -0.6π -0.8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/πT (DT frequency normalized by *) Suppose that the input to the system is the signal r[n] defined below: [n]=3+ cos(0.3xn) +5 cos(0.8πn) +9 cos(0.5xn) + 0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.

Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 3 2.5 2 1.5 1 0.5 0.8 0.6 0 0.4x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/TT (DT frequency normalized by π) H(ela N 0.2 0 -0.2π -0.4 -0.6π -0.8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/πT (DT frequency normalized by *) Suppose that the input to the system is the signal r[n] defined below: [n]=3+ cos(0.3xn) +5 cos(0.8πn) +9 cos(0.5xn) + 0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 3 2.5 2 1.5 1 0.5 0.8 0.6 0 0.4x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/TT (DT frequency normalized by π) H(ela N 0.2 0 -0.2π -0.4 -0.6π -0.8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/πT (DT frequency normalized by *) Suppose that the input to the system is the signal r[n] defined below: [n]=3+ cos(0.3xn) +5 cos(0.8πn) +9 cos(0.5xn) + 0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.
Transcribed Image Text:Problem 13-3 A discrete-time LTI system has the frequency response shown below. 3.5 3 2.5 2 1.5 1 0.5 0.8 0.6 0 0.4x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/TT (DT frequency normalized by π) H(ela N 0.2 0 -0.2π -0.4 -0.6π -0.8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 w/πT (DT frequency normalized by *) Suppose that the input to the system is the signal r[n] defined below: [n]=3+ cos(0.3xn) +5 cos(0.8πn) +9 cos(0.5xn) + 0.9mm Determine the output y[n] of the system. Provide a short justification explaining how you obtained your answer.
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