1) Examine the properties of the following systems, i.e. linear/non-linear, time- variant/time-invariant, causal/non-causal, stable/unstable, with or without memory. a) y(t) = 2x(t) – 3 b) y(t) = e¯¹x(t) c) y(t) = (t + 2)x(t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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1) Examine the properties of the following systems, i.e. linear/non-linear, time-
variant/time-invariant, causal/non-causal, stable/unstable, with or without memory.
a) y(t) = 2x(t) – 3
b) y(t) = etx(t)
c) y(t) = (t + 2)x(t)
2) Determine the Fourier series expansion of the following signals.
a) x(t) ==-∞ A(t− n)u(t − n)
4n=-00
b) x(t) = Σ--∞ (-1)¹8(t - nT)
Transcribed Image Text:1) Examine the properties of the following systems, i.e. linear/non-linear, time- variant/time-invariant, causal/non-causal, stable/unstable, with or without memory. a) y(t) = 2x(t) – 3 b) y(t) = etx(t) c) y(t) = (t + 2)x(t) 2) Determine the Fourier series expansion of the following signals. a) x(t) ==-∞ A(t− n)u(t − n) 4n=-00 b) x(t) = Σ--∞ (-1)¹8(t - nT)
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