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ECE · all questions

Signal Processing
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If x1(t) = 2sinπt + cos4πt and x2(t) = 2sin5πt + 3sin13πt, then

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A data sequence x[n] = {1, 2, 3, 4, 5} passes through a linear time-invariant system with impulse response h[n] = {5, 4, 3, 2, 1}. The output of the filter will be

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For a random variable 'x' having the probability density function (PDF) as shown in the above figure, what are the values of the mean and the variance, respectively?
Signal Processing mcq question image

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If the impulse response of a discrete-time system is h[n] = -5nu[-n - 1], then the system function H(z) is equal to

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For distortion less transmission through LTI system phase of H(ω) is

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The autocorrelation of wide-sense random process is given by e-2|τ|. The peak value of the spectral density is

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If the cumulative distribution function is Fx(x) then the probability density function fx(x) is given as

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The fundamental period T of a periodic-continuous time signal x(t), is

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The periodic signal x(t) = 5cos(ω0t + 30°), signal is periodic with fundamental period . . . . . . . .

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Match List-I with List-II and select the correct answer using the options given below:
List-I (Functions in the time domain) List-II (Fourier transform of the function)
a. Delta function 1. Delta function
b. Gate function 2. Gaussian function
c. Normalized Gaussian 3. Constant function
d. Sinusoidal function 4. Sampling Function

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The signal   is ideally sampled at a sampling frequency of 15 Hz. The sampled signal is passed through a filter with impulse response     The filter output is

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Let {x_1}\left( t \right) = \left\{ {\begin{array}{*{20}{c}} 6&{{\text{for }}0 < t < 4} \\ 0&{{\text{otherwise}}} \end{array}} \right.{\text{and }}{x_2}\left( t \right) = u\left( {t - 2} \right)         and y(t) = x1(t) * x2(t), then the value of y(4) is

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The impulse response of a causal, linear, time-invariant, continuous-time system is h(t). The output y(t) of the same system to an input x(t), where x(t) = 0 for t < -2, is

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Given that h(t) = 10e-10u(t), and e(t) = sin10t.u(t), the Laplace transform of the signal      is given by

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Consider a 51 tap linear phase FIR filter operating at a sampling frequency of 10 kHz. The delay of this linear phase FIR is:

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A digital filter has transfer function    If the filter has to rejecta 50 Hz interference from the input, then the sampling frequency for the input signal should be:

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A linear time invariant system has an impulse response e2t, for t > 0. If initial conditions are zero and the input is e3t, the output for t > 0 is

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The z-transform of the discrete time signal x(n) = u(n)*u(n) with '*' being convolution is

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If a linear time invariant system is excited by a true random single like white noise, the output of the linear system will have which of the following properties?

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Given the 'Energy Spectrum Density, Sxx(f) of a sequence x(n)

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