﻿ 滤波器设计代写 ECE 2671代写 - Matlab代写, 作业代写

# 滤波器设计代写 ECE 2671代写

2021-11-08 15:00 星期一 所属： Matlab代写 浏览：36 ## Filter Design using LinearProgramming

The goal of this project is to design a symmetric moving average filter using linear programming. You are required to submit well-commented Matlab code, labelled graphs and a very very very very short discussion based on the results. This is the first time thisproject has been assigned so expect a little bit of frustration. Enjoy the journey and do not be afraid to explore beyond what is asked.

### Requirements  滤波器设计代写

• Findthe coefficients a0, a1, . . . , aN of a symmetric moving average  These filters are used in engineering and finance and have the form

y(n) = aN x(n N ) + aN−1x(n N  1) + · · · a1x(N + 1) + a0x(n) + a1x(n  1) +

· · + aN−1x(n N + 1) + aNx(n N )

The frequency response of the filter is given by

H(ω) = a0 + a1 2cos(ω) + · · · + ai 2cos() + · · · + aN 2cos(N ω) • Selectthe coefficients to minimize the magnitude of the difference between the desired response and actual response, i.e., where ωi, i = 1, . . . , M are frequencies of your choice between 0 and π.

• Allow a transition band of π/20 on either side of the cutoff frequency π/2 wherethe

response has no impact on the cost function. 