BSc IT Sem VI ATKT DIGITAL SIGNALS AND SYSTEMS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 any of the following 10 marks
   • (a) Defined term system .discuss the classification of it?
   • (b) state and prove parsevals theorem for Fourier transform?
   • (c) What are the advantages of Digital Signal Processing (DSP) over Analog Signal
   • (d) Find even and and odd components of x(t)=e/t
2. Q2 Attempt any three of the following 15 marks
   • (a) State any five properties of unit impulse function?
   • (b) Defined term signal and give the classification of signals?
   • (c) Give graphical representation of any four test signals withexpression?
   • (d) Test following signals are periodic or non periodic
   • i. x[n]=cos2n X(t)=sin 2t +
   • (e) Determine the following signals are neither
   • (f) Explain stability in Linear Time Invariant system. What is the condition forsystem?
3. Q3 Attempt any three of the following 15 marks
   • (a) Find laplace transform of sin at.cosin Bt
   • (b) State any five properties of Laplace transform
   • (c) Defined laplace transform .Find the Laplace transform of tu(t)
   • (d) Obtain Laplace transform for step and Impulse Responses given Circuit
   • i.x(t)=tu(t) u(t)
   • (f) find inverse laplace transform of followings X(S) Paper Subject Code: 70901 Digital Signals and Systems
   • Q. P. Code:
4. Q4 any of the following and explain the properties of transform initial and final value theorem in terms of z transform with One 15 marks
   • (c) A finite sequence is defined as X[n]={5,3,-2,0,4,3} find X(Z)
   • (d) Give relation between Z and laplacetransform
   • (f) Define z-Transform. Obtain z transform any three of the following 15
   • (a) Compute the impulse response of the system
   • (b) Check whether the system F[x(n)]= n[x(n)]? is Linear and Time- Variant
   • (c) What is convolution? What are the properties of convolution?
   • (d) What is the condition for z-Transform to exist?
   • (e) What is frequency response? What are the properties of it?
   • (f) Compare the properties of two-sided z-transform with those of one-sided
5. Q6 Attempt any three of the following 15 marks
   • (a)State and explain the properties of Discrete Fourier transform
   • (b)Define Discrete Fourier Transform (DFT) for signum function
   • (c)Compute Linear and Circular Periodic Convolutions of the sequence
   • (d)Compute four point DFT of X[n]={0,1,2,3}
   • (e)State the relationship between DFT and z-Transform
   • (f)What are the methods used to perform Fast Convolution. Explain anysone method giving all the steps involved to perform Fast Convolution
6. Q7 Attempt any three of the following 15 marks
   • (a)State the advantages of Digital filters
   • (b)Describe elliptical filters in detail
   • (c)Obtain the system functions of normalized Butterworth filters for order N = | & 2
   • (d)Explain the procedure for designing an FIR filter using Kaiser window
   • (e) Explain the effects of windowing. Define Rectangular and Hamming window
   • (f)Describe the Inverse Chebyshev filters

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