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2003 Course Advanced Digital Signal Processing

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Total No. of Questions : 12] P1475 [Total No. of Pages :3 [3764] - 227 B.E. (E & TC) ADVANCED DIGITAL SIGNAL PROCESSING (2003 Course) (404218) Time : 3 Hours] [Max. Marks:100 Instructions to the candidates: 1) Answers to the two sections should be written in separate books. 2) Neat diagrams must be drawn wherever necessary. 3) Figures to the right indicate full marks. 4) Your answers will be valued as a whole. 5) Use of logarithmic tables slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 6) Assume suitable data, if necessary. 7) Solve Q.1 or Q.2, Q.3 or Q.4, Q.5 or Q.6, from section I.solve Q.7 or Q.8, Q.9 or Q.10, Q.11 or Q.12, from section II . SECTION - I Q1) a) b) Obtain the power spectrum of the autocorrelation rx(k) = |k|, where | | < 1. [8] n For a factor of L Up-sampler, governed by xu(n) = x for n = 0, + L, L + 2L,......obtain the Z-Transform equivalent relationship. [8] OR Q2) a) Define Wide Sense Stationary (WSS) process. State & explain any 3 important catagorieal properties. [8] b) It is required to decimate a signal by reducing the sampling rate from 12kHz to 400 Hz. The specifications for H(z) are fp = 180 Hz, fs = 200 Hz, p = 0.002, s = 0.001. Apply H(z) = I(z) F(z6) & compute complexity. [8] Q3) a) Define and explain i) AR ii) ARMA iii) MA processes. For which type of process is the Toeplitz symmetry useful? [10] b) Explain what is an innovations process with the help of a neat sketch.[8] P.T.O.

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