A linear system has the transfer function H ( j ω ) = ( j ω + 1 ) 1
A. ( j ω + 1 ) A
B. ( j ω + 1 ) 2 A
C. ( ω 2 + 1 ) A
D. Select an option to see the answer and solution.
x(t) = 5 ej20πt is
A. A power signal
B. An energy signal
C. Neither
D. Both
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For an N-point FFT algorithm with N = 2m , which one of the following statements is TRUE
A. It is not possible to construct a signal flow graph with both input and output in normal order
B. The number of butterflies in the mth state is N/m
C. In-place computation requires storage of only 2N node data
D. Computation of a butterfly requires only one complex multiplication
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In digital control scheme, selection of a large sampling interval:
A. Improve the steady-state performance
B. Deteriorates the steady-state performance
C. Has no effect on steady-state performance
D. None of the above
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Which one of the following relations is not correct?
A. f ( t ) δ ( t ) = f ( 0 ) δ ( t )
B. ∫ − ∞ ∞ f ( t ) δ ( τ ) d τ = 1
C. ∫ − ∞ ∞ δ ( τ ) d ( τ ) = 1
D. f ( t ) δ ( t − τ ) = f ( τ ) δ ( t − τ )
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Which of the following is non-causal system?
A. y(t) = x(t + 1)
B. y(t) = x(t - 1)
C. y(t) = x(t) + c
D. y(t) = x(t - 1) + c
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A random variable is uniformly distributed between 3 and 6. Its variance is
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. . . . . . . . is the process of moving a filter mask over the image and computing the sum of products.
A. Correlation
B. Convolution
C. Interpolation
D. Extrapolation
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Laplace transform is a tool for converting:
A. amplitude domain equations to frequency domain equations
B. phase domain equations to amplitude domain equations
C. time domain equations to frequency domain equations
D. frequency domain equations to time domain equations
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A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through
A. An RC filter
B. An envelope detector
C. A PLL
D. An ideal low-pass filter with the appropriate bandwidth
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The impulse response of a linear time invariant system is h(n) = {1, 2 1
A. {1, 8, 4, 8, 3, -1, -2}
B. {1, 4, 8, 3, 8, -2, -2}
C. {1, 4, 8, 8, 3, -2, -1}
D. {1, 8, 3, 8, 8, 4, -1}
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With the following equations, the time invariant systems are 1. d t 2 d 2 y ( t ) + 2 t d t d y ( t ) + 5 y ( t ) = x ( t ) 2. y ( t ) = e − 2 x ( t ) 3. y ( t ) = [ d t d x ( t ) ] 4. y ( t ) = d t d [ e − 2 t x ( t ) ]
A. 1 and 2
B. 1 and 4
C. 2 and 3
D. 3 and 4
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Two ideal quantizers A and B have following specifications:1 as quantization noise power2 as quantization noise power.Q 2 Q 1
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The trigonometric Fourier series of an even function of time does not have
A. the dc term
B. cosine terms
C. sine terms
D. odd harmonic terms
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Laplace transform of 1 - e-at is given by
A. s + a 1
B. s + a s
C. s + a a
D. a ( s + a ) a
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The dead band range of a first order IIR filter given by y(n) = 0.5y (n - 1) + x(n) on quantization operation due to rounding with a step size of is:
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The filter used for pulse shaping is
A. Raised-cosine filter
B. Sinc shaped filter
C. Gaussian filter
D. All of the above
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For a function g(t), it is given that − ∞ ∫ + ∞ g ( t ) e − j ω t d t = ω e − 2 ω 2 ω . y ( t ) = − ∞ ∫ t g ( τ ) d τ , − ∞ ∫ + ∞ y ( t ) d t
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An LTI system has a wide-sense stationary (WSS) input signal with zero mean, Its output is
A. non-zero mean and non-WSS signal
B. zero mean and WSS signal
C. non-zero mean and WSS signal
D. zero mean and non-WSS signal
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The Dirac delta function δ(t) is defined as
A. δ ( t ) = { 1 t = 0 0 otherwise
B. δ ( t ) = { ∞ t = 0 0 otherwise
C. δ ( t ) = { 1 t = 0 0 otherwise and − ∞ ∫ ∞ δ ( t ) d t = 1
D. δ ( t ) = { ∞ t = 0 0 otherwise and − ∞ ∫ ∞ δ ( t ) d t = 1
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