1-Take the following system, with the input x, and output y, у(п) %3 су(п — 1) + 7(п) — г(п — 1). Take y(n) = 0, for n < 0. Find the output if (a) x(n) = 8(n), (b) 2(п) — 6(п) + 6(n — 1). Note that c is a constant. Evaluate your results in part (a) when (1) с %— 0.5, (2) с — 2.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1-Take the following system, with the input x, and output y,
у(п) — су(п — 1) + z(n) — г(п — 1).
Take y(n) = 0, for n < 0. Find the output if
(a) x(n)
= 8(n),
(b) 2(п) — 6(n) + б(п — 1).
Note that c is a constant. Evaluate your results in part (a) when
-
(1) с %3D 0.5,
(2) с — 2.
Do you see similar trends in the two cases? If not, what are the critical value of the constant
c, which result in different qualitative behavior of the system, i.e., discuss the stability of
the system.
Transcribed Image Text:1-Take the following system, with the input x, and output y, у(п) — су(п — 1) + z(n) — г(п — 1). Take y(n) = 0, for n < 0. Find the output if (a) x(n) = 8(n), (b) 2(п) — 6(n) + б(п — 1). Note that c is a constant. Evaluate your results in part (a) when - (1) с %3D 0.5, (2) с — 2. Do you see similar trends in the two cases? If not, what are the critical value of the constant c, which result in different qualitative behavior of the system, i.e., discuss the stability of the system.
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