22-Elec-B1 Digital Signal Processing: May 2016

Paper format. National Exams, May 2016 — 07-Elec-B1 Digital Signal Processing. Three hours, closed book; one approved calculator (Casio or Sharp) and one two-sided aid sheet of tables and formulas are permitted. Six questions are printed and any five constitute a complete exam; all questions carry 12 marks, for 60 marks total. Tables of z-transform pairs and properties, the DTFT synthesis/analysis pair, Parseval's relation and the DFT property list are bound into the paper (pages 8–10). All six questions are solved below, because the set is a study resource rather than a timed attempt.

Reference texts (22-Elec-B1).

• A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 3rd ed. — the paper's notation, its bound tables and its Kaiser-window design formulas are taken directly from this text (Ch. 2 LTI systems and the DTFT, Ch. 3 the z-transform, Ch. 4 sampling and multirate processing, Ch. 6 filter structures, Ch. 7 filter design, Ch. 8 the DFT and the FFT).
• J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, 4th ed. — parallel treatment of the same material (Ch. 3 z-transform, Ch. 6 sampling, Ch. 9 filter structures, Ch. 10 filter design).
• A. V. Oppenheim and A. S. Willsky, Signals and Systems, 2nd ed. — background on Fourier representations and sampling.