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17-Phys-B4 Signals and Communications: December 2013

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

  1. Question 1 Trigonometric and Exponential Fourier Series of a Multitone Signal
  2. Question 2 Recovering the Modulating Signal from an Angle-Modulated Phase Function
  3. Question 3 Sampling $x(t)=\mathrm{sinc}^2(10\pi t)$ at Three Rates
  4. Question 4 Fourier Transform Properties from a Piecewise-Linear Signal, Without Computing $X(j\omega)$ Explicitly
  5. Question 5 Partial-Fraction Inversion of a Right-Sided z-Transform, Two Ways
  6. Question 6 Transmitter Power Budget for DSB, and Square-Wave AM/DSB Envelopes

Start with Question 1 →

Paper format. 98-Phys-B4 Communications, National Examination December 2013 — a three-hour closed-book examination with one double-sided aid sheet permitted and an approved calculator. The cover page states any five of the six 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 six questions carry equal value (20 marks each).

Reference texts. A. V. Oppenheim and A. S. Willsky, Signals and Systems, 2nd ed. (Fourier series, Fourier transform properties, the sampling theorem, the unilateral z-transform); S. Haykin and M. Moher, Communication Systems, 5th ed. (amplitude and angle modulation, transmitted power and sideband power); B. P. Lathi and Z. Ding, Modern Digital and Analog Communication Systems, 4th ed. (PM/FM instantaneous phase and frequency); J. G. Proakis and D. G. Manolakis, Digital Signal Processing, 4th ed. (partial-fraction inversion of the z-transform).