Signals and Systems - ECE Questions and Answers

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Consider z transform of a signal as given below

then the response will be

IIR

FIR

Depends on value of n

Cannot determined

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The eigen values of matrix are

1, 1

- 1, - 1

j, - j

1, - 1

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Assertion (A): If , the final value of i(t) is 2A

Reason (R): As per final value theroem

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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A signal f(t) = cos 10pt + 3 cos 4pt is instantaneously sampled. The maximum allowable value of sampling interval T_s in sec is

1 / 4 sec

1 / 8 sec

1 / 8p sec

1 / 10 sec

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The initial value theorem is

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Assertion (A): The rms value of v = 1 + sin ωt is 1.5

Reason (R): If i = I₀ + I_1m sin ω₁t + I_3m sin 3ω₁t, then

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 exponential form of Fourier series is

Both (a) and (b)

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Principle of superposition is applicable to

linear systems only

nonlinear systems only

both linear and non linear system

linear systems and some nonlinear systems

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The range of value "a" for which system will be stable. If impulse response of DT system is = aⁿ ∪[n]

a > 1

a < 1

1 < a < ∞

-1 < a < 1