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Daily Practice Quiz 7: Signals & Systems (App update required to attempt this test)
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Question 1
If x(n) = {1, 2, 0, 1} and h(n) = {2, 3, 4, 1} then calculate x(n) * h(n).
Question 2
Two discrete-time signals x[n] and h[n] are both non-zero for n = 0, 1, 2 and are zero otherwise. It is given that X[0] = 1, x[1] =2, x[2]=1,h[0]=1. Let y[n] be the linear convolution od x[n] and h[n]. Given y[1]=3 and y[2]=4, the value of the expression (10y[3]+y[4]) is_____.
Question 3
The convolution of 2 discrete signals
and
is
Find the value
Question 4
Let y[n] denote the convolution of h[n] and g[n], where h[n] = (1/2)n u[n] and g[n] is a causal sequence. If y[0] =1 and y [1] = ½, then g[1] equals
Question 5
Two LTI systems in cascade form as shown in below figure-
If h1(n) = 3n u(n) and h2(n) = 3δ(n) – 3δ(n – 1) and If x(n) = sin(n) then output will be
If h1(n) = 3n u(n) and h2(n) = 3δ(n) – 3δ(n – 1) and If x(n) = sin(n) then output will be
Question 6
The convolution of two signals and is where
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Mar 30ESE & GATE EC