090119HomeWork2

# 090119HomeWork2 - ECE 700 Digital Signal Processing Home...

This preview shows pages 1–4. Sign up to view the full content.

1 ECE 700 Digital Signal Processing Home Work 2 Due 1/26/09 Part I 1. Show that the two systems shown below are equivalent, where H 0 ( z ) is the zero th component in the M -way polyphase decomposition of H ( z ). 2. (Mitra, problem 13.42) Consider the system shown below. Show that the system is time-invariant and derive the transfer function from each input to each output. 3. (It’s a matrix world) Let [2 ] [1 ] [0] [1] [2] x x x x x x ⎛⎞ ⎜⎟ = ⎝⎠ # # represent the signal {[] , } . xn n −∞< <∞ For each of the following operations, find the matrix H that implements the given operation as . y Hx =

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

View Full Document
2 a. 0 [] [][ ] k yn hkxn k = =− b. c. d. H ( z ) causal e. H ( z ) causal
3 Part II (MATLAB Exercises) In this problem, you will design and implement a linear phase, FIR low pass filter , H ( z ) using three different methods. The overall filter should meet the following specifications: Sampling frequency 10000Hz Passband edge frequency 50 Hz Stopband edge frequency 55 Hz Maximum passband ripple 0.01 Maximum stopband ripple 0.003 1)

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

090119HomeWork2 - ECE 700 Digital Signal Processing Home...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online