Systems function and region of convergence


Assignment:

Question 1. If the -3dB cut-off point for the filter shown occurs for a real frequency of 200Hz then what should be the sampling rate (samples per sec)?

270_Region of convergence.JPG
Question 2. The difference equation for a digital filter is given by:  y(n) = 2y(n-1) + y(n-2) +X(n) - x(n-1) Compute the systems function.

Question 3. Why must the Region of Convergence (ROC) be included with an analytic expression of the z-transform?

Question 4. True or False and Why: The FIR filter realization has fewer coefficients than an IIR filter but the FIR filter has stability problems that the IIR filter does not.

Question 5. For a causal LTI system what can you say about the poles of the z transform and the boundary of the region of convergence.

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Electrical Engineering: Systems function and region of convergence
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