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ww (Reflections and translations (or flips and slides)) Consider the signal x₁(t) = 0.5tI[0,2] (t) + (t − 3)I(2,3] (t). Sketch the following signals: (a) x₁(t), (b) x₂(t) = x₁(−—t), (c) x3 (t) = (x₁(t) + x₁(−t)). x1. Remark: This is is an even signal by construction, and is called the even part of (1)

ww (Reflections and translations (or flips and slides)) Consider the signal x₁(t) = 0.5tI[0,2] (t) + (t − 3)I(2,3] (t). Sketch the following signals: (a) x₁(t), (b) x₂(t) = x₁(−—t), (c) x3 (t) = (x₁(t) + x₁(−t)). x1. Remark: This is is an even signal by construction, and is called the even part of (1)

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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(Reflections and translations (or flips and slides)) Consider the signal x₁(t) = 0.5tI[0,2] (t) + († − 3)I(2,3] (t). Sketch the following signals: (a) x₁(t), (b) x₂(t) = x₁(-t), (c) x²(t) = (x₁(t) + x₁(−t)). Remark: This is is an even signal by construction, and is called the even part of x₁. (d) x₁(t) = ½ (x₁(t) — x₁(−t)). 2 Remark: This is is an odd signal by construction, and is called the odd part of x₁.) (e) x5 (t) = x₁(t+2), (f) x6 (t) = x₁(2 — t), (g) x7(t) = x₂(t) + x5 (t).
Transcribed Image Text:(Reflections and translations (or flips and slides)) Consider the signal x₁(t) = 0.5tI[0,2] (t) + († − 3)I(2,3] (t). Sketch the following signals: (a) x₁(t), (b) x₂(t) = x₁(-t), (c) x²(t) = (x₁(t) + x₁(−t)). Remark: This is is an even signal by construction, and is called the even part of x₁. (d) x₁(t) = ½ (x₁(t) — x₁(−t)). 2 Remark: This is is an odd signal by construction, and is called the odd part of x₁.) (e) x5 (t) = x₁(t+2), (f) x6 (t) = x₁(2 — t), (g) x7(t) = x₂(t) + x5 (t).
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