Explore BrainMass

Sampling rate, Systems function, Region of convergence

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

** Please see the attached file for the complete problem description **

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

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 H(z).

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

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.

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.

© BrainMass Inc. brainmass.com March 21, 2019, 9:57 pm ad1c9bdddf


Solution Preview

** Please see the attached document for the complete solution response **

On the x-axis, the normalized frequency of pi is equivalent to the frequency fs/2, where fs is the sampling frequency. The -3dB cut-off point is at 0.2*pi which is corresponding to 200Hz. Then the normalized frequency of pi is corresponding to 200/0.2 which is 1000Hz= fs/2. ...

Solution Summary

This solution explains how to solve the given problems.