NivaarExam PrepOfficial exam papers ↗

22-Elec-B1 Digital Signal Processing: May 2018

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

  1. Question 1 Sampling rate, effective analogue cut-off and the reconstructed spectrum
  2. Question 2 Eight-point circular convolution versus linear convolution
  3. Question 3 Direct form II and transposed flow graphs
  4. Question 4 Frequency-domain sampling and the resulting time aliasing
  5. Question 5 System function, all admissible ROCs and the value of $h[0]$
  6. Question 6 Which linear-phase FIR types can realise each desired response

Start with Question 1 →

Paper format. National Exams May 2018 — 16-Elec-B1, Digital Signal Processing. Three hours, closed book; one approved Casio or Sharp calculator and one double-sided aid sheet of tables and formulas are permitted. Six questions are printed and five constitute a complete paper, each worth 12 points; the marking scheme published on page 1 breaks those 12 points down part by part. All six questions are solved below, because the set is intended as a study resource rather than as a three-hour sitting.

Reference texts. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 3rd ed., Pearson, 2010 — the source of the z-transform tables, the DFT property list and the sampling relations reproduced on pages 6–8 of this exam. J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, 4th ed., Pearson, 2007. S. K. Mitra, Digital Signal Processing: A Computer-Based Approach, 4th ed., McGraw-Hill, 2011 — filter structures, transposition and linear-phase FIR types.

Figure data. The eight-sample reading is the one used below, and it is what makes the requested eight-point circular convolution well posed.