F09_630_rec_5a_sol - ENEE630 ADSP RECITATION 5 w/ solution...

Info iconThis preview shows pages 1–2. 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: ENEE630 ADSP RECITATION 5 w/ solution October 8/9, 2009 1. Consider the QMF bank in Fig. R5.1, where H ( z ) = 1 + 2 z- 1 + 3 z- 2 + z- 3 , and H 1 ( z ) = H (- z ). X ( z ) Y ( z )- H ( z )- ↓ 2- ↑ 2- F ( z )- H 1 ( z )- ↓ 2- ↑ 2- F 1 ( z )- Figure R5.1: (a) Design an FIR synthesis bank F ( z ) ,F 1 ( z ) such that the system is alias-free. (b) Design an IIR synthesis bank F ( z ) ,F 1 ( z ) such that the system is perfect reconstruction. Is this bank stable? (By default, we assume it is causal) (c) Design a stable IIR synthesis bank F ( z ) ,F 1 ( z ) such that the system is alias-free and amplitude-distortion-free. (Hint: a * + z- 1 1+ az- 1 is an all-pass filter.) Solution: E ( z ) = 1 + 3 z- 1 , E 1 ( z ) = 2 + z- 1 . F ( z ) = z- 1 R ( z 2 ) + R 1 ( z 2 ), F 1 ( z ) =- F (- z ) = z- 1 R ( z 2 )- R 1 ( z 2 ). (a) R ( z ) = E 1 ( z ), R 1 ( z ) = E ( z ). T ( z ) = 2 z- 1 E ( z 2 ) E 1 ( z 2 )....
View Full Document

This note was uploaded on 10/31/2010 for the course EE 630 taught by Professor Wu during the Spring '10 term at Aarhus Universitet, Aarhus.

Page1 / 3

F09_630_rec_5a_sol - ENEE630 ADSP RECITATION 5 w/ solution...

This preview shows document pages 1 - 2. Sign up to view the full document.

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