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A system is represented by the equation z(t) = v(t)f(t) + B where v(t) is the input, z(t) the output, f(t) a function, and B a constant. a) Let f(t) = A, a constant. Is the system linear if B 0? Linear if B = 0? Explain. b) Let f(t) = cos Not and B = 0 is this system linear, time-invariant? c) Let f(t) = u(t) – u(t – 1), the input v(t) = u(t) – u(t – 1), B = 0, find the corresponding output z(t). Let then the input be delayed by 2, i.e., the input is u(t - 2) – u(t – 3), and f(t) and B be the same, determine the corresponding output. Using these results, is the system time-invariant? %3D

A system is represented by the equation z(t) = v(t)f(t) + B where v(t) is the input, z(t) the output, f(t) a function, and B a constant. a) Let f(t) = A, a constant. Is the system linear if B 0? Linear if B = 0? Explain. b) Let f(t) = cos Not and B = 0 is this system linear, time-invariant? c) Let f(t) = u(t) – u(t – 1), the input v(t) = u(t) – u(t – 1), B = 0, find the corresponding output z(t). Let then the input be delayed by 2, i.e., the input is u(t - 2) – u(t – 3), and f(t) and B be the same, determine the corresponding output. Using these results, is the system time-invariant? %3D

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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Can you solve part d of 1st question and question 2 please

1) Determine whether the following systems are: memoryless, time-invariant, linear, casual or stable. Justify your answers. y[n] = x[1 – n] x(t) y(t) 1+x(t-1) c) y(t) = tx(t)( d) y[n] = E:=-∞ x[n – k] 2) A system is represented by the equation z(t) = v(t)f(t) + B where v(t) is the input, z(t) the output, f(t) a function, and B a constant. a) Let f (t) = A, a constant. Is the system linear if B # 0? Linear if B = 0? Explain. b) Let f(t) = cos Not and B = 0 is this system linear, time-invariant? c) Let f(t) = u(t) – u(t – 1), the input v(t) = u(t) – u(t – 1), B = 0, find the corresponding output z(t). Let then the input be delayed by 2, i.e., the input is u(t - 2) – u(t – 3), and f (t) and B be the same, determine the corresponding output. Using these results, is the system time-invariant? -
Transcribed Image Text:1) Determine whether the following systems are: memoryless, time-invariant, linear, casual or stable. Justify your answers. y[n] = x[1 – n] x(t) y(t) 1+x(t-1) c) y(t) = tx(t)( d) y[n] = E:=-∞ x[n – k] 2) A system is represented by the equation z(t) = v(t)f(t) + B where v(t) is the input, z(t) the output, f(t) a function, and B a constant. a) Let f (t) = A, a constant. Is the system linear if B # 0? Linear if B = 0? Explain. b) Let f(t) = cos Not and B = 0 is this system linear, time-invariant? c) Let f(t) = u(t) – u(t – 1), the input v(t) = u(t) – u(t – 1), B = 0, find the corresponding output z(t). Let then the input be delayed by 2, i.e., the input is u(t - 2) – u(t – 3), and f (t) and B be the same, determine the corresponding output. Using these results, is the system time-invariant? -
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