Challenge06_z_transform

Challenge06_z_transf - [n The causal system has a z-transform given by 9 9 1 1 9 1-=-= =-∞ =-∑ z z z z z H n n n if |0.9z-1 |<1 or

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: z-Transform Lesson Number: 06 Challenge Problem Suppose a causal LTI system has an impulse response given by: [ ] = otherwise k n u n h n 0 0 ]; [ ) 9 . 0 ( In assembling the system, some logic is inverted and the system’s clock runs backwards in time (how this happened, I do no know), producing a new impulse response: h 0 [n]=h[-n]. What is the z-transform and ROC of the time-reversed anti-causal system h
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: [n]? The causal system has a z-transform given by: 9 . 9 . 1 1 ) 9 . ( ) ( 1-=-= =-∞ =-∑ z z z z z H n n n if |0.9z-1 |<1 or |z|>0.9 From Table 2, ( 29 z z z H z H 9 . 1 1 ) ( 9 . 1 1 ) / 1 ( ) ( 1 1-=-= =--From ( 29 ∑ ∞ = =-= = + + + = 2 2 9 . 1 1 ) 9 . ( ... ) 9 . ( ) 9 . ( 1 ) ( n n n z z z z z H which converges if |0.9z|<1 or |z|<1/0.9. 1...
View Full Document

This note was uploaded on 08/21/2010 for the course EEL 5525 taught by Professor Yang during the Summer '09 term at University of Florida.

Ask a homework question - tutors are online