sys4405, winter 2009, midterm1
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Carleton University
Department of Systems and Computer Engineering
SYSC4405: Introduction to Digital Signal processing
Winter Semester 2009
Midterm # 1
February 12, 2009, 45 minutes.
______________________________________________________________________________
Answer the following questions
Question #1
A continuous time signal x(t) is given by:
a) What is the Nyquist sampling rate for the signal x(t) as defined above?
b) A sequence
is obtained by sampling the continuous time signal above
at a rate
. Determine the values of
and
c) The sequence x(n) is applied to an ideal digitaltoanalog coverter to produce a continuous time signal
y(t). What frequencies do you expect y(t) to contain?
Question 2
Three LTI systems are defined below. System b is described in terms of its impulse response h(n). Systems
a and c are described in terms of their difference equations..
a) For each of the three systems shown, state whether it is causal, anticausal or noncausal.
b) For each system indicate whether it is an FIR or IIR
c) For each system state whether it is stable, or unstable. Justify your answers.
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 Winter '09
 Digital Signal Processing, Signal Processing, sampling rate, continuous time signal, Carleton University Department of Systems

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