Q141
Open questionLet the input be u and the output be y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system :
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Q142
Open questionThe z-transform of the time function is
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Q143
Open questionThe impulse response and the excitation function of a linear time invariant causal system are shown in figure (a) and (b) respectively. The output of the system at t = 2 sec is equal to
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Q144
Open questionOne period (0, T) each of two periodic waveforms W1 and W2 are shown in the figure. The magnitudes of the nth Fourier series coefficients of W1 and W2, for n ≥ 1, n is odd, are respectively proportional to
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Q145
Open questionThe Fourier Transform of the signal is of the following form, where A and B are constants
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Q146
Open questionThe signal x(t) is described by
x\left( t \right) = \left\{ {\matrix{ {1\,{\rm{for}}} & { - 1 \le t \le + 1} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.
Two of the angular frequencies at which its Fourier transform becomes zero are
x\left( t \right) = \left\{ {\matrix{ {1\,{\rm{for}}} & { - 1 \le t \le + 1} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.
Two of the angular frequencies at which its Fourier transform becomes zero are
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Q147
Open questionThe trigonometric Fourier series of an even function does not have the
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Q148
Open questionThe impulse response of a system is h(t) = tu(t). For an input u(t - 1), the output is
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Q149
Open questionThe unit impulse response of a linear time invariant system is the unit step function u(t). For t > 0, the response of the system to an excitation e-at u(t), a > 0 will be
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Q150
Open questionA signal x(n) = sin(ω0n + f) is the input to a linear time-invariant system having a frequency
response H(ejω). If ihe output of the system Ax(n - n0), then the most general form of ∠H(ejω) will be
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Q151
Open questionThe impulse response functions of four linear systems S1, S2, S3, S4 are given respectively by
Where u(t) is the unit step function. Which of these systems is time invariant, causal, and stable?
Where u(t) is the unit step function. Which of these systems is time invariant, causal, and stable?
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Q152
Open questionFor an all-pass system where | H(e-jω) | = 1, for all ω. If Re(a) ≠ 0, lm(a) ≠ 0, then b equals
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Q153
Open questionIf then f(0+) and f(∞) are given by
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Q154
Open questionSuppose x[n] is an absolutely summable discrete- time signal. Its z-transform is a rational function with two poles and two zeroes. The poles are at z = ±2j. Which one of the following statements is TRUE for the signal x[n]?
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Q155
Open questionLet h(t) denote the impulse response of a causal system with transfer function Consider the following three statements:
S1 : The system is stable.
S2 : independent of t for t > 0.
S3 : A non-causal system with the same transfer function is stable.
For the above system,
S1 : The system is stable.
S2 : independent of t for t > 0.
S3 : A non-causal system with the same transfer function is stable.
For the above system,
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Q156
Open questionThe amplitude spectrum of a Gaussian pulse is
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Q157
Open questionGiven that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of is
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Q158
Open questionA discrete-time all-pass system has two of its poles at 0.25<0° and 2<30°. Which one of the following statements about the system is TRUE?
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Q159
Open questionThe transfer function of a zero-order-hold system is
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Q160
Open questionThe first five points of the 8-point DFT of a real valued sequence are 5, 1 - j3, 0, 3 - j4 and 3 + j4. The last two points of the DFT are respectively
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