ps6 - MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal Processing: Continuous and Discrete Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.161 Signal Processing- Continuous and Discrete Fall Term 2008 Problem Set 6: The z-Transform and Linear Filters Assigned: October 23, 2008 Due: October 30, 2008 Problem 1: A linear time-invariant filter is used to process sampled data (with sampling interval T ), and is described by the the difference equation: y n = . 5 y n 1 + 0 . 5 u n + u n 1 (a) Determine the transfer function H ( z ) for the system. Express H ( z ) as a ratio of polynomials in z 1 , and also as a ratio of polynomials in z . (b) Plot the poles and zeros of H ( z ) in the z-plane. (c) Is this a stable system? (d) From H ( z ), find the system frequency response function, and show that this is an all-pass system, that is H...
View Full Document

Page1 / 3

ps6 - MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online