4. Let x[n] be as shown in Fig 1 and is defined as: 3 n = -2 x[n] = n = 0, 1 −1 n = = 4 0 else. 1 2 -6 -4-2 2 6 n 8 -2 Figure 1: Plot of signal x[n] - a. Write x[n] as a linear combination (sum) of impulse signals (i.e., linear combination of ..., [n – 2],d[n – 1],d[n], ɗ[n + 1], ɗ[n + 2], . . .). b. Write x[n] as a linear combination (sum) of step signals (i.e., linear combination of .., u[n — 2], u[n — 1], u[n], u[n + 1], u[n + 2], . . .. c. Plot x[-2n+2], and x[2n+2].

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Let x[n] be as shown in Fig 1 and is defined as:
3
n =
-2
x[n] =
n = 0, 1
−1
n
= = 4
0
else.
1
2
-6 -4-2
2
6
n
8
-2
Figure 1: Plot of signal x[n]
-
a. Write x[n] as a linear combination (sum) of impulse signals (i.e., linear combination of ..., [n – 2],d[n –
1],d[n], ɗ[n + 1], ɗ[n + 2], . . .).
b. Write x[n] as a linear combination (sum) of step signals (i.e., linear combination of .., u[n — 2], u[n —
1], u[n], u[n + 1], u[n + 2], . . ..
c. Plot x[-2n+2], and x[2n+2].
Transcribed Image Text:4. Let x[n] be as shown in Fig 1 and is defined as: 3 n = -2 x[n] = n = 0, 1 −1 n = = 4 0 else. 1 2 -6 -4-2 2 6 n 8 -2 Figure 1: Plot of signal x[n] - a. Write x[n] as a linear combination (sum) of impulse signals (i.e., linear combination of ..., [n – 2],d[n – 1],d[n], ɗ[n + 1], ɗ[n + 2], . . .). b. Write x[n] as a linear combination (sum) of step signals (i.e., linear combination of .., u[n — 2], u[n — 1], u[n], u[n + 1], u[n + 2], . . .. c. Plot x[-2n+2], and x[2n+2].
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