Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. National Exams, May 2013 — 07-Elec-A3 Signals and Communications. Three hours, closed book; one double-sided aid sheet and an approved calculator are permitted. Six questions are printed and any five constitute a complete paper, all of equal value (20 marks each). All six are solved below, because the set is intended as a study resource rather than an exam script.
Reference texts. B. P. Lathi & Z. Ding, Modern Digital and Analog Communication Systems, 4th ed. (Oxford), Ch. 3–4 for Fourier analysis and amplitude modulation; B. P. Lathi, Linear Systems and Signals, 2nd ed., Ch. 2–7 for convolution, Fourier series and the Fourier transform; A. V. Oppenheim & A. S. Willsky, Signals and Systems, 2nd ed., Ch. 2–4 and Ch. 10 for the discrete-time system material; J. G. Proakis & D. G. Manolakis, Digital Signal Processing, 4th ed., Ch. 3 and Ch. 7 for the z-transform and Direct Form II realisations.