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an LTI system with impulse response

an LTI system with impulse response

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Problem Statement** Find an explicit time domain expression for the output \( y(t) \) when the signal \( x(t) \) is passed through an LTI system with impulse response \( h(t) = \text{sinc}(12t - 4) \) for the following two scenarios: (a) \( x(t) = 3 \cos(60 \pi t + \frac{\pi}{6}) - 4 \sin(70 \pi t + \frac{\pi}{4}) - 2 \). (b) \( x(t) = \text{sinc}(3t) \text{sinc}(4t) \).
Transcribed Image Text:**Problem Statement** Find an explicit time domain expression for the output \( y(t) \) when the signal \( x(t) \) is passed through an LTI system with impulse response \( h(t) = \text{sinc}(12t - 4) \) for the following two scenarios: (a) \( x(t) = 3 \cos(60 \pi t + \frac{\pi}{6}) - 4 \sin(70 \pi t + \frac{\pi}{4}) - 2 \). (b) \( x(t) = \text{sinc}(3t) \text{sinc}(4t) \).
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