FIR filter having anti-symmetrical impulse response with even filter order can be used to design
A. low-pass, high-pass, band-pass and band-stop
B. low-pass and band-pass only
C. high-pass and band-stop only
D. differentiator and Hilbert transformer
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Consider the following statements for a system given by y ( n ) = x ( n ) ∑ k = − ∞ ∞ δ ( n − 3 k ) .
1. The system is linear.
2. The system is non-linear.
3. The system is causal.
4. The system is non-causal.
Which of the above statements is/are correct?
A. 1 only
B. 2 only
C. 2 and 4 only
D. 1 and 3 only
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The Fourier transform of Acos Ω0 t is given by
A. Aπ[δ(Ω - Ω0 ) + δ(Ω + Ω0 )]
B. Aπδ(Ω - Ω0 )
C. Aπδ(Ω + Ω0 )
D. Aπ[δ(Ω - Ω0 ) - δ(Ω + Ω0 )]
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Consider an LTI system representing a passive electrical network. If the input is a sinusoidal signal, then the steady-state output of the network is
A. sinusoidal with the same amplitude, frequency and phase
B. sinusoidal with the same frequency, but possibly different amplitude and phase
C. non-sinusoidal
D. sinusoidal with a different frequency
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A digital signal processing system is described by the expression:
y(n) = 2x(n) + x(n - 1) + 2y(n - 1) The system is:
A. A stable FIR filter
B. A stable IIR filter
C. An unstable FIR filter
D. An unstable IIR filter
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Consider the following system
H(ejω) is a . . . . . . . . with band limited frequency . . . . . . . .
A. low pass filter, 2 π
B. low pass filter, 3 π
C. low pass filter, 6 π
D. low pass filter, 5 π
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Using Z-transform method obtain impulse response of a system described by y(n) = 2.5y(n - 1) + x(n)
A. h(n) = (25)n u(n)
B. h(n) = (2.5)n u(n)
C. h(n) = (0.25)n u(n)
D. h(n) = 2n u(n - 1)
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Which one of the following is the correct Laplace transfer of the signal in the given Figure?
A. 2 s 2 1 [ 1 − e − 2 s ( 1 + 2 s ) ]
B. 2 s 2 1 [ e − 2 s − ( 1 − 2 s ) ]
C. 2 s 2 1 [ e − 2 s + ( 1 − 2 s ) ]
D. 2 s 2 1 [ 1 − e − 2 s + 2 s ]
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The correlation function of a wide-sense stationary random process representing a non-deterministic signal is
A. not a deterministic function
B. deterministic, but not symmetric function
C. sometimes non-deterministic function
D. always deterministic and symmetric function
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Find the final value of the system corresponding to Y ( s ) = s ( s 2 + 2 s + 10 ) 3 ( s + 2 )
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Consider the function f(t) having Laplace transform F ( s ) = s 2 + ω 0 2 ω 0 Re [ s ] > 0
The final value of f(t) would be:
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The fundamental period of periodic sequence x(n) = n modulo 6 is
A. 6 samples
B. 24 samples
C. 3 samples
D. 12 samples
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The input to a linear delta modulator is a sinusoidal signal having a peak amplitude of 1 volt. The maximum input signal is sampled at 8 times the Nyquist rate. The step size for a 800 Hz input, assuming no slope overload, is:
A. 40 π volts
B. 8 π volts
C. 10 π volts
D. 4 π volts
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The Nyquist filter has impulse response given by
A. h ( t ) = ( T π t ) sin ( T π t )
B. h ( t ) = 2 1 ( π t sin ( π t ) )
C. h ( t ) = ( T π t ) sin ( π t )
D. h ( t ) = ( T π t ) cos ( π t )
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The system function of the digital filter is
A. H ( Z ) = K = 0 ∑ N 1 − e P K T Z − 1 C K
B. H ( Z ) = K = 1 ∑ N 1 − e P K T Z − 1 C K
C. H ( Z ) = K = − N ∑ N 1 − e P K T Z − 1 C K
D. H ( Z ) = K = 0 ∑ ∞ 1 − e P K T Z − 1 C K
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The ROC of a stable system must include the
A. Origin
B. Infinity
C. A ring
D. Unit circle
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A band pass signal extends from 1 kHz to 2 kHz. The minimum sampling frequency needed to retain all information in the sampled signal is
A. 1 kHz
B. 2 kHz
C. 3 kHz
D. 4 kHz
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The impulse response of a system is h(t) = tu(t). For an input u(t – 1), the output is
A. 2 t 2 u ( t )
B. 2 t ( t − 1 ) u ( t − 1 )
C. 2 ( t − 1 ) 2 u ( t − 1 )
D. 2 t 2 − 1 u ( t − 1 )
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A digital filter is said to be an IIR if:
A. it oscillates
B. all its poles lie outside the unit circle
C. current output depends on the previous output
D. one or more denominator coefficients is non-zero
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Transfer functions of FIR filters will have
A. Poles and zeros
B. Only poles
C. Only zeros
D. Only constants
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