Engineering B.E. (Electrical Engineering) Sem 6 Summer 2022 2022 ELEC Signals Ans Systems Question Paper - Mumbai University | munotes
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Questions asked in this paper
University of Mumbai
Time: 2 hour 30 minutes Max. Marks: 80
compulsory and carry equal marks. (2 marks each) (20 Marks)
Then the period of the resulting signal is always
For H(z) the ROC of the stable
the value of an impulse response is unity for all negative values of time
the value of an impulse response is infinity for all negative values of time
the value of an impulse response is negative for all negative values of time
A LTI system is if Here the summation is absolutely
9. The IIR filter designing involves
Designing of digital filter into digital domain and transforming into analog domain
Designing of analog filter into digital domain and transforming into analog domain
Designing of digital filter into analog domain and transforming into digital domain
Designing of analog filter into analog domain and transforming into digital domain
A filter is said to be linear phase filter if the phase delay and group delay are
Solve any Four out of Six. (5 marks each) (20 Marks)
Determine Even and Odd parts of the signal x(n)={2,-2,6,-2}
Explain any five properties of Z transform
Find the Trigonometric Fourier series for the periodic signal shown in figure
Find IDFT of X(K)={4,-j2, 0, j2} using DFT by matrix method
State the advantages and limitations of digital filters
Find the order of the IIR filter for a given specification using Bilinear Transformation
Solve any Two Questions out of Three. (10 marks each) (20 Marks)
Determine the impulse response and step response of the causal system
A_ | given below and discuss on stability
Find DFT of the sequence x(n)={ 1,2,3,4,4,3,2,1} using radix-2 DIT FFT algorithm
Discuss the design procedure for low pass digital Butterworth IIR filter
Solve any Two. (5 marks each)
i. | Check whether the system y(n)=x(n) x(n-2) is 1.Static or dynamic 2.Linear or nonlinear
3.Causal or non-causal, and 4.Shift-invariant or shift-variant
ii. | Design an FIR digital filter to approximate an ideal low pass filter with passband gain of
unity, cut off frequency of 850 Hzs and working at a sampling frequency of fs=5000 Hz
The length of the impulse response should be 5. Use a rectangular window
Discuss Rectangular and Hamming windows used to design FIR filters
Solve any One. (10 marks each)
i. | Determine the inverse Z-transform of X(Z) = if the ROC are:
ii. | A linear shift invariant system is described by the difference equation,
y(n) — y(n-1) + = x(n) + x(n-1) with y(-1) = 0 and y(-2) = -1. Find the
natural response of the system
Time: 2 hour 30 minutes Max. Marks: 80
compulsory and carry equal marks. (2 marks each) (20 Marks)
Then the period of the resulting signal is always
For H(z) the ROC of the stable
the value of an impulse response is unity for all negative values of time
the value of an impulse response is infinity for all negative values of time
the value of an impulse response is negative for all negative values of time
A LTI system is if Here the summation is absolutely
9. The IIR filter designing involves
Designing of digital filter into digital domain and transforming into analog domain
Designing of analog filter into digital domain and transforming into analog domain
Designing of digital filter into analog domain and transforming into digital domain
Designing of analog filter into analog domain and transforming into digital domain
A filter is said to be linear phase filter if the phase delay and group delay are
Solve any Four out of Six. (5 marks each) (20 Marks)
Determine Even and Odd parts of the signal x(n)={2,-2,6,-2}
Explain any five properties of Z transform
Find the Trigonometric Fourier series for the periodic signal shown in figure
Find IDFT of X(K)={4,-j2, 0, j2} using DFT by matrix method
State the advantages and limitations of digital filters
Find the order of the IIR filter for a given specification using Bilinear Transformation
Solve any Two Questions out of Three. (10 marks each) (20 Marks)
Determine the impulse response and step response of the causal system
A_ | given below and discuss on stability
Find DFT of the sequence x(n)={ 1,2,3,4,4,3,2,1} using radix-2 DIT FFT algorithm
Discuss the design procedure for low pass digital Butterworth IIR filter
Solve any Two. (5 marks each)
i. | Check whether the system y(n)=x(n) x(n-2) is 1.Static or dynamic 2.Linear or nonlinear
3.Causal or non-causal, and 4.Shift-invariant or shift-variant
ii. | Design an FIR digital filter to approximate an ideal low pass filter with passband gain of
unity, cut off frequency of 850 Hzs and working at a sampling frequency of fs=5000 Hz
The length of the impulse response should be 5. Use a rectangular window
Discuss Rectangular and Hamming windows used to design FIR filters
Solve any One. (10 marks each)
i. | Determine the inverse Z-transform of X(Z) = if the ROC are:
ii. | A linear shift invariant system is described by the difference equation,
y(n) — y(n-1) + = x(n) + x(n-1) with y(-1) = 0 and y(-2) = -1. Find the
natural response of the system
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