Q.1. A discrete-time system is defined by an input-output relation as;3n+1y(n) = 2 x(k-1)k=nDetermine whether this system has the properties given below.i) Memoryless, i) Causal, m) Stable, iv) Linear, v) Time-invariantQ.2 Determine the convolution of the continuous-time signals given below, y(t) = x(t) * h(t) =?e3tx(t) =-5 t<1e2t2

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Input-output Pelation as, 3n+1 y(n) = 2 x(k-1) k=n Determine whether this system has the properties given below. i) Memoryless, ii) Causal, i) Stable, iv) Linear, v) Time-invariant. 2 Determine the convolution of the continuous-time signals given below, y(t) = x(t) * h(t) = ? e3t x(t) = -5

Input-output Pelation as, 3n+1 y(n) = 2 x(k-1) k=n Determine whether this system has the properties given below. i) Memoryless, ii) Causal, i) Stable, iv) Linear, v) Time-invariant. 2 Determine the convolution of the continuous-time signals given below, y(t) = x(t) * h(t) = ? e3t x(t) = -5

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Q.1. A discrete-time system is defined by an input-output relation as;
3n+1
y(n) = 2 x(k-1)
k=n
Determine whether this system has the properties given below.
i) Memoryless, i) Causal, m) Stable, iv) Linear, v) Time-invariant
Q.2 Determine the convolution of the continuous-time signals given below, y(t) = x(t) * h(t) =?
e3t
x(t) =
-5 t<1
e2t
2<t<8
h(t)3D
otherwise
otherwise

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