Signals and Systems - ECE Questions and Answers

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Fourier transform of e^-a|t| is

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Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

Reason (R): If f(- t) = f(t) the wave has only cosine terms.

Both A and R are correct and R is correct explanation of A

Both A and R are correct but R is not correct explanation of A

A is true, R is false

A is false, R is true

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If x_k = 0 for k < 0 and x_k = 2^k for k ³ 0, X(z) i.e., Z transform of sequence x is

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The function δ'(t - b) is a unit doublet.

True

False

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If £ f(t) = F(jω), then

(jω)ⁿ F(jω)

F(jω)/(jω)ⁿ

(jω)^n-1 F(jω)

(b) F(jω)/(jω)^n-1

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The value of P(2 < x < 3) in function f(x) = K(x - 1) for K = 1 < x < 4 is

1/3

2/3

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Assertion (A): For the determinant the minor for
a¹¹ is

Reason (R): The minor of any element of a determinant a_jk is the determinant which remains when the row and column corresponding to a_jk are deleted.

Both A and R are correct and R is correct explanation of A

Both A and R are correct but R is not correct explanation of A

A is true, R is false

A is false, R is true

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The inverse response of a system h(n) = aⁿ∪(n) what is the condition for the system to be BIBO stable?

a is real and +ve

a is real and -ve

|a| > 1

|a| < 1

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A system has poles at 0.01 Hz, 1 Hz and 80 Hz, zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

-90°

0°

90°

-180°