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ECE · all questions

Signal Processing
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A system with input x[n] and output y[n] is given as
The system is

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The Fourier transform of a voltage signal x(t) is X(f). The unit of |X(f)| is

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An excitation is applied to a system at t = land its response is zero for -∞ < t < T. Such a system is a

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A realization of a stable discrete time system is shown in figure. If the system is excited by a unit step sequence input x[n], the response y[n] is
Signal Processing mcq question image

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Match the following and choose the correct combination.
Group I Group II
E. Continuous and aperiodic signal 1. Fourier representation is continuous and aperiodic.
F. Continuous and periodic signal 2. Fourier representation is discrete and aperiodic.
G. Discrete and aperiodic signal 3. Fourier representation is continuous and periodic.
H. Discrete and periodic signal 4. Fourier representation is discrete and periodic.

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If L[f(t)] = F(s), then L[f(t - T)] is equal to

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The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t), where u(t) denotes the unit step function, and α and β are real constants. This system is stable if

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Given that
       
L[h(t)] is

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An FIR system is described by the system function

The system is

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For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by

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The region of convergence of the z-transform of a unit step function is

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The region of convergence of the z-transform of a unit step function is

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Poles of Butterworth and Chebyshev low pass filters are located on . . . . . . . . and . . . . . . . . respectively in s-plane.

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Let function A = sinω0t and B = sin(ω0t + φ). The power of two signals; PA and PB is related as

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Match List-I with List-II and select the correct answer using the options given below:
List-I (Time Function) List-II (Fourier Spectrum/Fourier Transform)
a. Periodic Function 1. Continuous spectrum at all frequencies
b. Aperiodic Function 2. -jπ{δ(ω - ω0) - δ(ω + ω0)}
c. Unit Impulse δ(t) 3. Line discrete spectrum
d. sin ω(t) 4. 1

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Which of the following is introduced in the frequency sampling realization of the FIR filter?

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The convolution of f(t) with itself is given to be   Then what is f(t)?

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If x[n] = -x[-n], then

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A signal x(t) is band-limited to 2Hz, and y(t) = x3(t) + x(t) + 1. The Nyquist sampling frequency of y(t) is:

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The output of a system with impulse response δ[n - 2] to an input signal, u[n + 2] is:

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