The input x(t) and the output y(t) of a continuous- time system are related as
The system is
The system is
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ECE · all questionsSignal Processing
Signal Processing
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The N-point DFT of a sequence x[n], 0 ≤ n ≤ N - 1 is given by
Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x.
Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x.
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Convolution of x(t + 5) with impulse function δ(t - 7) is equal to
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The Laplace transform of eαt cos (αt) is equal to
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A system is described by the following differential equation, where u(t) is the input to the system and y(t) is the output of the system. y(t) + 5y(t) = u(t)
When y(0) = 1 and u(t) is a unit step function, y(t) is
When y(0) = 1 and u(t) is a unit step function, y(t) is
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Consider the following statements for continuous-time linear time invariant (LTI) systems.
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
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The Fourier transform F{e-t u(t)} is equal to Therefore, is
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A system with transfer function H(z) has impulse response h(n) defined as h(2) = 1, h(3) = -1 and h(k) = 0 otherwise. Consider the following statements.
S1 : H(z) is a low-pass filter.
S2 : H(z) is an FIR filter.
Which of the following is correct?
S1 : H(z) is a low-pass filter.
S2 : H(z) is an FIR filter.
Which of the following is correct?
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The Laplace transform of the causal periodic square wave of period T shown in the figure below is It
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A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a
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A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, V, Z with the corresponding time responses for t ≥ 0:
Match List-I with List-II and select the correct answer:
Match List-I with List-II and select the correct answer:
| List-I | List-II |
| X. Impulse | P. |
| Y. Unit step | Q. |
| Z. Ramp | R. |
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The transfer function of a discrete time LTI system is given by
Consider the following statements:
S1 : The system is stable and causal for
S2 : The system is stable but not causal for
S3 : The system is neither stable nor causal for
Which one of the following statements is valid?
Consider the following statements:
S1 : The system is stable and causal for
S2 : The system is stable but not causal for
S3 : The system is neither stable nor causal for
Which one of the following statements is valid?
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Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
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The unilateral Laplace transform of f(t) is Which one of the following is the unilateral Laplace transform of g(t) = t.f(t)?
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A system with an input x(t) and output y(t) is described by the relation: y(t) = tx(t). This system is
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Consider the function f(t) having Laplace transform
The final value of f(t) would be:
The final value of f(t) would be:
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An LTI system with unit sample response
h[n] = 5δ[n] - 7δ[n - 1] + 7δ[n - 3] - 5δ[n - 4] is a
h[n] = 5δ[n] - 7δ[n - 1] + 7δ[n - 3] - 5δ[n - 4] is a
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Let and y(ejω) be the Fourier transform of y(n). Then Y(ej0) is
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Flat top sampling of low pass signals
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Q100
Open questionThe region of convergence of z-transform of the sequence
must be
must be
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