22-Elec-A3 Signals and Communications: December 2014

Paper format. Association of Professional Engineers of Ontario, Annual Examinations — 07-Elec-A3 Signals and Communications, December 2014, 3 hours, closed book (a standard non-programmable calculator is the only aid). Seven questions, all of equal value (20 marks each); the rubric states that any five questions constitute a complete paper and that only the first five appearing in the answer book are marked. All seven are solved here, because the set is a study resource rather than a graded script.

Reference texts.

• B. P. Lathi and Z. Ding, Modern Digital and Analog Communication Systems, 4th ed. — amplitude modulation, superheterodyne receivers, PCM, angle modulation.
• A. V. Oppenheim, A. S. Willsky and S. H. Nawab, Signals and Systems, 2nd ed. — Fourier transform properties, convolution, Parseval’s relation, discrete-time systems.
• J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, 4th ed. — difference equations, transfer functions, BIBO stability.
• S. Haykin and M. Moher, Communication Systems, 5th ed. — envelope detection, coherent detection, sampling and quantisation noise.

Two conventions are used throughout. Frequency is written in hertz (variable $f$) whenever the question asks for it in hertz, and in radians per second (variable $\omega = 2\pi f$) only inside time-domain expressions.

---