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Carleton University
Department of Systems and Computer Engineering
SYSC4405: Digital Signal processing
Winter Semester 2010
Assignment # 2
Date Due: February 12th, 2010, before 4:00 p.m.
______________________________________________________________________________
Problem 1
Consider the discretetime system which is described by the difference equation:
(a) Is this system causal? Is it stable? Justify your answer
(b) Is this an FIR or IIR system? Determine the system’s impulse response.
(c) Determine the unit step response of the system.
Problem 2
a) determine the characteristic roots of the system, and indicate whether it is stable.
b) Determine an analytical expression for the impulse response h(n),
, of the system
described by the difference equation
c) Verify your analytical answer of part b) by means of calculating
numer
ically (from the difference equation) and comparing the results to the numerical values obtained
from your anlytical expression.
Problem 3
A discrete time system is described by the second order difference equation:
a) Is the system stable? Explain why.
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 Winter '09
 Digital Signal Processing, Signal Processing, #, Impulse response, difference equation, Carleton University Department of Systems

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