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22-Elec-B1 Digital Signal Processing: May 2013

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Linear and circular convolution, the two-point DFT butterfly, and block filtering
  2. Question 2 Transfer function from a pole/zero plot and multiplier-free realisations
  3. Question 3 Region of convergence, step response and the inverse system
  4. Question 4 Four-point DFTs and circular convolution
  5. Question 5 Interpolation, band-pass selection and the equivalent continuous-time system

Start with Question 1 →

Paper format. National Exams, 07-Elec-B1 Digital Signal Processing, May 2013. Three hours; closed book with one two-sided aid sheet and an approved calculator. Five questions of 25 marks each are printed and four questions constitute a complete paper (the first four appearing in the answer book are marked). All five are solved here, because the set is intended as a study resource rather than as a timed attempt.

Reference texts (07-Elec-B1 syllabus). A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 3rd ed. (Pearson) — the primary reference for this exam code; J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, 4th ed.; S. K. Mitra, Digital Signal Processing: A Computer-Based Approach, 4th ed. Section numbers cited in the concept panels refer to Oppenheim & Schafer unless stated otherwise.