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- Digital Signal Processing - DSP
- 2018
- PYQ
**Biju Patnaik University of Technology BPUT - BPUT**- Electronics and Instrumentation Engineering
- B.Tech
**7335 Views**- 157 Offline Downloads
- Uploaded 5 months ago

Registration No : Total Number of Pages : 02 B.Tech. PCEC4304 6th Semester Back Examination 2017-18 DIGITAL SIGNAL PROCESSING BRANCH : AEIE, CSE, ECE, EEE, EIE, ETC, IEE, MECH Time : 3 Hours Max Marks : 70 Q.CODE : C334 Answer Question No.1 which is compulsory and any five from the rest. The figures in the right hand margin indicate marks. Q1 a) b) Determine the values of power and energy signal of x (n) u ( n) . c) Represent the sequence x(n) 4,2,1, 1, 3, 2,1, 5 as sum of shifted unit impulses. State the difference between DIT and DIF filter. Find the Z-transform of the signal x (n) sin( n ) u ( n) . d) e) f) g) h) i) j) Q2 a) b) Q3 Q4 (2 x 10) Answer the following questions : Write the major applications of DSP telemetry. 1 3 n What is zero padding? What are it’s used? What is twiddle factor? What are its properties? How many multiplications and additions are required to compute 32-point DFT using radix-2 FFT? What is wrapping? How one can design digital filters from analog filters? Show that the following systems are nonlinear and time invariant. y(n) – x(n)y(n-1) = x(n) 1 1 Z 1 4 Using Residue Method, find inverse Z-transform of X ( Z ) , 1 2 1 Z 4 1 ROC: Z . 3 (5) (5) a) Find the natural response of the system described by difference equation with initial conditions y (n) 2 y( n 1) y (n 2) x(n) x( n 1) y (1) y ( 2) 1 . (6) b) Distinguish between recursive realization and non-recursive realization. (4) a) b) Find the DFT of a sequence x(n) ={1 ,1, 3,4,4,3,2,1} Find the Z-transform of x(n)= (1/8)n u(n) and its ROC. (5) (5)

Q5 a) b) Obtain the direct form I, direct form II and Cascade form realization of the following system functions. Y(n) = 0.1 y(n-1) + 0.2 y(n-2) + 3x(n) + 3.6 x(n-1) + 0.6 x(n-2). Using impulse invariance method, with T=1sec determine H(z) if H (s) Q6 (a) (6) (4) 1 s2 2 s 1 The linear convolution of a length 50 sequence with the length of 500 sequences is to be computed using 64-point DFTs and IDFTs. i) What is the smallest numbers of DFTs and IDFTs needed to compute the linear convolution using over-lap add method? ii) What is the smallest numbers of DFTs and IDFTs needed to compute the linear convolution using over-lap save method? (b) The system function of the analog filter is given as H a ( s ) ( S 0.1) . ( S 0.1) 2 9 (5) (5) Obtain the system function of the IIR digital filter by using Impulse Invariance Method. Q7 Perform the circular convolution of the following sequences (10) x( n) 1,1, 2,1 and h(n) 1, 2, 3, 4 using DFT and IDFT Method. Q8 a) b) c) d) Write short answer on any TWO : Section Convolution DIF FFT ROC of Z-transform DCT is an orthogonal transform (5 x 2)

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