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Given the following impulse response of a system and the input function x[n]. Find the output y[n] for 0 ≤ n ≤ 6. 0 n 0 1 11

Given the following impulse response of a system and the input function x[n]. Find the output y[n] for 0 ≤ n ≤ 6. 0 n 0 1 11

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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Given the following impulse response of a system and the input function \( x[n] \). Find the output \( y[n] \) for \( 0 \le n \le 6 \). **Graph Descriptions:** 1. **Left Graph (Impulse Response \( h[n] \)):** - The x-axis is labeled \( n \), ranging from -1 to 3. - The y-axis is labeled \( h[n] \), ranging from -3 to 3. - Points plotted: - \( n = 0 \), \( h[n] = 1 \) - \( n = 1 \), \( h[n] = -2 \) - \( n = 2 \), \( h[n] = 3 \) 2. **Right Graph (Input Function \( x[n] \)):** - The x-axis is labeled \( n \), ranging from -1 to 3. - The y-axis is labeled \( x[n] \), ranging from -1 to 3. - Points plotted: - \( n = 0 \), \( x[n] = 1 \) - \( n = 1 \), \( x[n] = 2 \) To find the output \( y[n] \), use the convolution sum based on the given impulse response and input function \( x[n] \).
Transcribed Image Text:Given the following impulse response of a system and the input function \( x[n] \). Find the output \( y[n] \) for \( 0 \le n \le 6 \). **Graph Descriptions:** 1. **Left Graph (Impulse Response \( h[n] \)):** - The x-axis is labeled \( n \), ranging from -1 to 3. - The y-axis is labeled \( h[n] \), ranging from -3 to 3. - Points plotted: - \( n = 0 \), \( h[n] = 1 \) - \( n = 1 \), \( h[n] = -2 \) - \( n = 2 \), \( h[n] = 3 \) 2. **Right Graph (Input Function \( x[n] \)):** - The x-axis is labeled \( n \), ranging from -1 to 3. - The y-axis is labeled \( x[n] \), ranging from -1 to 3. - Points plotted: - \( n = 0 \), \( x[n] = 1 \) - \( n = 1 \), \( x[n] = 2 \) To find the output \( y[n] \), use the convolution sum based on the given impulse response and input function \( x[n] \).
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