Signal Processing - Study Mode

[#46] Let $$gleft( t
ight) = {e^{ - pi {t^2}}}$$xa0 and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t), then the Fourier transform of the output is
Correct Answer

(D) $${e^{ - 2pi {t^2}}}$$

[#47] A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is
Correct Answer

(A) 5 kHz

[#48] The result of the convolution x(- t) ∗ δ(- t - t 0 ) is
Correct Answer

(D) x(- t - t 0 )

[#49] Which of the following gives the average value or expectation of the function g(X) of the random variable X? (Given f(X) is the probability density function)
Correct Answer

(B) $$Eleft[ {gleft( X ight)} ight] = intlimits_{ - infty }^infty {gleft( X ight)fleft( X ight)dx} $$

[#50] Consider the following statements regarding filters: 1. Cauer filter has equiripple passband and stopband. 2. For a given filter order, passband and stopband deviations, Cauer filters have more transition bandwidth as compared to Chebyshev filters. 3. Linear phase characteristics cannot be achieved in IIR filters. Which of the above statements are correct?
Correct Answer

(B) 1 and 3 only