1 A discrete-time signal x(n) is defined as +33, x(n) = 1, 0, -3 ≤n≤ −1 0≤n≤3 elsewhere (a) Determine its values and sketch the signal x(n). (b) Sketch the signals that result if we: 1. First fold x(n) and then delay the resulting signal by four samples. 2. First delay x(n) by four samples and then fold the resulting signal. (c) Sketch the signal x(-n+4). (d) Compare the results in parts (b) and (c) and derive a rule for obtaining the signal x(-n + k) from x(n). (e) Can you express the signal x(n) in terms of signals 8(n) and u(n)?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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1 A discrete-time signal x(n) is defined as
1+,
1,
0,
x(n) =
-3≤ n ≤ −1
0≤n ≤3
elsewhere
(a) Determine its values and sketch the signal x(n).
(b) Sketch the signals that result if we:
1. First fold x (n) and then delay the resulting signal by four samples.
2. First delay x(n) by four samples and then fold the resulting signal.
(c) Sketch the signal x(-n + 4).
(d) Compare the results in parts (b) and (c) and derive a rule for obtaining the signal
x(-n + k) from x(n).
(e) Can you express the signal x (n) in terms of signals 8(n) and u(n)?
Transcribed Image Text:1 A discrete-time signal x(n) is defined as 1+, 1, 0, x(n) = -3≤ n ≤ −1 0≤n ≤3 elsewhere (a) Determine its values and sketch the signal x(n). (b) Sketch the signals that result if we: 1. First fold x (n) and then delay the resulting signal by four samples. 2. First delay x(n) by four samples and then fold the resulting signal. (c) Sketch the signal x(-n + 4). (d) Compare the results in parts (b) and (c) and derive a rule for obtaining the signal x(-n + k) from x(n). (e) Can you express the signal x (n) in terms of signals 8(n) and u(n)?
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