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17-Phys-B4 Signals and Communications: May 2014

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

  1. Question 1 Sampling and Reconstruction of a sinc² Signal
  2. Question 2 Sampling a Two-Tone Message and the Effect of Aliasing
  3. Question 3 FT Properties — Time-Scaling, Shift and Modulation of a sinc Pulse
  4. Question 4 FM Spectrum — Reading Modulation Index from a Bessel-Line Plot
  5. Question 5 PCM Design for a Television Signal
  6. Question 6 Standard AM — Recovering the Message, Modulation Index and Power Efficiency
  7. Question 7 A Nonlinear/Filter Cascade — Linearity, Distortionless Transmission, and Black-Box Testing
  8. Question 8 Regions of Convergence, Causality/Stability, and Inversion of a Rational z-Transform
  9. Question 9 4-ary PCM Design for an Audio Signal
  10. Question 10 Matched Filtering and Optimum Sampling for Split-Phase (Manchester) Signalling

Start with Question 1 →

Paper format. 98-Phys-B4 Communications, National Examination May 2014 — a three-hour open-book examination (any non-communicating calculator permitted). The cover page states any five of the ten questions constitute a complete paper, with only the first five as they appear in the answer book marked; every question is nonetheless answered in full below so the paper remains a complete study resource. All ten questions carry equal value (20 marks each).

Reference texts. A. V. Oppenheim and A. S. Willsky, Signals and Systems, 2nd ed. (Fourier transform properties, the sampling theorem, LTI eigenfunctions, z-transforms); S. Haykin and M. Moher, Communication Systems, 5th ed. (AM/FM modulation, PCM, matched filtering and eye diagrams); B. P. Lathi and Z. Ding, Modern Digital and Analog Communication Systems, 4th ed. (FM Bessel spectra, M-ary baseband transmission); J. G. Proakis and D. G. Manolakis, Digital Signal Processing, 4th ed. (z-transform regions of convergence, partial-fraction inversion).