midterm1_w09

midterm1_w09 - Carleton University Department of Systems...

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sys-4405, winter 2009, midterm1 page 1 of 2 Carleton University Department of Systems and Computer Engineering SYSC-4405: 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 digital-to-analog 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, anti-causal or non-causal. 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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midterm1_w09 - Carleton University Department of Systems...

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