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(4)<math>Y(z) = X(z)H(z)</math><br /><br /> | (4)<math>Y(z) = X(z)H(z)</math><br /><br /> | ||
| − | (20 pts)2. For each ROAC, determine which of these system properties apply. (Just list the letters of the properties that apply.) Below we describe the ROAC of the transfer function of an LTI system. | + | (20 pts)2. For each ROAC, determine which of these system properties apply. (Just list the letters of the properties that apply.) Below we describe the ROAC of the transfer function of an LTI system.<br /> |
| + | |||
| + | a) the system is causal;<br /> | ||
| + | |||
| + | b) the system is BIBO stable;<br /> | ||
| + | |||
| + | c) the system has a well defined and finite frequency response function;<br /> | ||
| + | |||
| + | d) the system is an FIR filter;<br /> | ||
| + | |||
| + | e) The system is an IIR filter;<br /> | ||
| + | |||
| + | f) the unit impulse response of the system is right-sided;<br /> | ||
| + | |||
| + | g) the unit impulse response of the system is left-sided;<br /> | ||
Revision as of 16:56, 14 November 2016
Sample Midterm Examination 2
ECE 438
Fall 2016
Instructor: Prof. Mimi Boutin
(15 pts)1. List at least three properties of an LTI system.
Solution:
LTI
-->$ {\mathcal H}(ω_0)e^{j ω_0 n} $ where $ {\mathcal H}(\omega) $ is DTFT of unit impulse response h[n] (2)$ y[n] = x[n] * h[n] $
(3)$ {\mathcal y}(\omega) $=$ {\mathcal X}(\omega) $$ {\mathcal H}(\omega) $
(4)$ Y(z) = X(z)H(z) $
(20 pts)2. For each ROAC, determine which of these system properties apply. (Just list the letters of the properties that apply.) Below we describe the ROAC of the transfer function of an LTI system.
a) the system is causal;
b) the system is BIBO stable;
c) the system has a well defined and finite frequency response function;
d) the system is an FIR filter;
e) The system is an IIR filter;
f) the unit impulse response of the system is right-sided;
g) the unit impulse response of the system is left-sided;
