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- Given a signal x(t)a time transformation of the form x (at — b) can be written as one of the two equivalent two step operations Shift then scale Step 1: Shift by b: x(t)→x(t- b) Step 2: Scale by a: x(t - b) →x(at - b) Suppose x(t) is as shown. (a) Sketch x(2t - 1). Try it both ways. (b) Then sketch x(1 - 2t). x(t)t Scale then shift Step 1: Scale by a: x (t) →x(at) Step 2: Shift by b/a: x(at) → x (a (t−5)) = x(at — b)

- Given a signal x(t)a time transformation of the form x (at — b) can be written as one of the two equivalent two step operations Shift then scale Step 1: Shift by b: x(t)→x(t- b) Step 2: Scale by a: x(t - b) →x(at - b) Suppose x(t) is as shown. (a) Sketch x(2t - 1). Try it both ways. (b) Then sketch x(1 - 2t). x(t)t Scale then shift Step 1: Scale by a: x (t) →x(at) Step 2: Shift by b/a: x(at) → x (a (t−5)) = x(at — b)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Given a signal x(t)a time transformation of the form x(at — b) can be written as one of the two equivalent two step operations Shift then scale Step 1: Shift by b: x(t) →x(t - b) Step 2: Scale by a: x(t - b) →x(at - b) Suppose x(t) is as shown. (a) Sketch x(2t - 1). Try it both ways. (b) Then sketch x(1 - 2t). x(t)t 1 2 3 t Scale then shift Step 1: Scale by a: x(t) → x(at) Step 2: Shift by b/a: x(at) → x (a (t-2)) = = x (at - b)
Transcribed Image Text:Given a signal x(t)a time transformation of the form x(at — b) can be written as one of the two equivalent two step operations Shift then scale Step 1: Shift by b: x(t) →x(t - b) Step 2: Scale by a: x(t - b) →x(at - b) Suppose x(t) is as shown. (a) Sketch x(2t - 1). Try it both ways. (b) Then sketch x(1 - 2t). x(t)t 1 2 3 t Scale then shift Step 1: Scale by a: x(t) → x(at) Step 2: Shift by b/a: x(at) → x (a (t-2)) = = x (at - b)
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