1-Verify the following: 6 (п) — и(п) — и (п — 1) and find ag such that и(п) — 2и(п — 1) — У арб(п — k) k=0

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1-Verify the following:
8(n) = u(n) – u(n – 1)
and find af such that
и(п) — 2и(п — 1) — У арб(п — k)
k=0
2) Take u(n) as the unit step function. Sketch the following signals.
- w(n) = u(n) – u(n – 6). ( This is called a window function.)
-0 (n) cos (π /4)
cos (πη/4)
- y(n) = v(n) . w(n)
- x(n) = y(-n + 3). Use two different approaches so as to verify your result.
%3D
3) Take u(n) as the unit step function. Sketch the following signals.
-в(m) — 2(и(п + 1) — и(п — 3)).
-v1 (n) = v(n)+ v(-n)
- v2(n) = v(n) – v(-n)
Discuss the symmetrical properties of vi and v2. Write v(n) in terms of vi and v2.
Transcribed Image Text:1-Verify the following: 8(n) = u(n) – u(n – 1) and find af such that и(п) — 2и(п — 1) — У арб(п — k) k=0 2) Take u(n) as the unit step function. Sketch the following signals. - w(n) = u(n) – u(n – 6). ( This is called a window function.) -0 (n) cos (π /4) cos (πη/4) - y(n) = v(n) . w(n) - x(n) = y(-n + 3). Use two different approaches so as to verify your result. %3D 3) Take u(n) as the unit step function. Sketch the following signals. -в(m) — 2(и(п + 1) — и(п — 3)). -v1 (n) = v(n)+ v(-n) - v2(n) = v(n) – v(-n) Discuss the symmetrical properties of vi and v2. Write v(n) in terms of vi and v2.
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