Signal Processing - Study Mode

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[#436] Which dirichlet's condition(s) is/are related to Fourier transform? 1. Function is absolutely integrable 2. Function must have finite extremas 3. Function has finite discontinuities

(A) Only 1

(B) Only 2

(C) Only 3

(D) All three

Correct Answer

(D) All three

[#437] For a discrete LTI system, the impulse response is u[n]. What is its step response?

(A) nu[n - 1]

(B) n 2 u[n]

(C) nu[n]

(D) u[n]

Correct Answer

(C) nu[n]

[#438] The Butterworth filter of order n is described by the magnitude squared of its frequency response given by $${left| {{H_n}left( {jOmega }
ight)}
ight|^2} = frac{1}{{left[ {1 + {{left( {frac{Omega }{{{Omega _{,C}}}}}
ight)}^{2n}}}
ight]}}.$$ xa0 xa0 xa0The value of $$20log left| {{H_n}left( {jOmega }
ight)}
ight|$$ xa0 at $$Omega = {Omega _{,C}}$$ xa0is

(A) -2 dB

(B) -3.01 dB

(C) -3 dB

(D) -3.5 dB

Correct Answer

(B) -3.01 dB

[#439] Find periodicity of signal cos2πt, jsin3t

(A) aperiodic, periidic

(B) periodic, periodic

(C) aperiodic, aperiodic

(D) periodic, aperiodic

Correct Answer

(B) periodic, periodic

[#440] Which one of the following is the inverse z-transform of $$Xleft( z
ight) = frac{z}{{left( {z - 2}
ight)left( {z - 3}
ight)}},,left| z
ight| < 2?$$

(A) [2 n - 3 n ] u(-n - 1)

(B) [3 n - 2 n ] u(-n - 1)

(C) [2 n - 3 n ] u(n + 1)

(D) [2 n - 3 n ] u(n)

Correct Answer

(A) [2 n - 3 n ] u(-n - 1)