# Question marks are listed by the question please do

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Unformatted text preview: , place your WATCARD on the table, and ﬁll out the exam attendance sheet when provided by the proctor after the exam starts. • Question marks are listed by the question. • Please, do not separate the pages, and indicate your Student ID at the top of every page. • Be neat. Poor presentation will be penalized. • No questions will be answered during the exam. If there is an ambiguity, state your assumptions and proceed. • No student can leave the exam room in the ﬁrst 45 minutes or the last 10 minutes. • If you ﬁnish before the end of the exam and wish to leave, remain seated and raise your hand. A proctor will pick up the exam from you, at which point you may leave. • When the proctors announce the end of the exam, put down your pens/pencils, close your exam booklet, and remain seated in silence. The proctors will collect the exams, count them, and then announce you may leave. 1 Problem №1 (25%) Consider the following zero-pole plot of H (z ): M th order pole (￿M ≥ 2) ❅ Im( ✻ z) ❅ ❅ ❅ ❅ ❘ ❅M ❤ × −1/2 ❤ Re(z ) ✲ 1/2 Given that H (1) = 3/4 and the the region of convergence (ROC) of H (z ) is |z | &gt; 0: a) Determine H (z ). b) Determine wether H (z ) is: stable, causal, IIR, FIR, minimum-phase, and/or possessing a generalized linear phase (GLP). c) Consider the following system x [n ] ✲ H (z ) x [n ] ✲ ↓2 w[n] ✲ v [n ] ✲ ↓2 G(z ) y [n]✲ r[n]✲ Find G(z ) such that y [n] = r[n]. Problem №2 (25%) Consider the following two sequences: x[n] = {−1, −...
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## This document was uploaded on 02/28/2014 for the course ECE 413 at University of Waterloo, Waterloo.

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