Please provide Matlab code for the following You get the task to design a filter

Question

Please provide Matlab code for the following

You get the task to design a filter that meets a couple of specifications given below. Since your boss wants to save some money, he/she tells you to provide him/her with a filter that is as economical as possible. What you have is a device that samples at frequency of 20 kHz - and you are supposed to use it! The statement of your boss is: "How hard can it be to cut off a couple of frequencies? Just cut them off and get going!". You remember from your DSP course that there was a big fuzz about how to design a filter but maybe your boss is right? Why not just cut off the higher frequencies? So you get started: Design a filter that meets the specifications below. Use different approaches (Butterworth, Chebychev I/II, Elliptic, simple "cutting" in the frequency domain) and decide which filter you would present to your boss. Collect and discuss arguments for your decision: .Gain of no less than -2 dB in the frequency range 0, 1000 Hz .Gain of not more than -40 dB in the frequency range [2000, 10.000 Hz Ripples might be accepted if they don't exceed 1 dB useful commands: buttord, cheblord, cheb2ord, ellipord, butter, cheby1, cheby2, ellip, zplane, freqz, fft, filter For each filter, provide (if applicable) the order n, the frequency response, the phase and the impulse response. Compare these across the filters you designed.

Explanation / Answer

findmax (40 points)

#

# $a0: the starting address of an asciiz string

# $a1: the starting address of an allocated memory space to which the maximum length word is to

#      be copied, ending with a 0 to make it an asciiz string

#

# Note: Must call the getword function to examine one word at a time

# -----------------------------------------------

# -----------------------------------------------

# getword (40 points)

#

# $a0: the starting address of an asciiz string, say, A, at this address, the content must be the

#      ascii code of an English letter, either upper case of lower case

# $a1: the starting address of an allocated memory space, to which the first word in string A can

#      be copied, ending with a 0 to make it an asciiz string

# $v0: the length of the word

#

# Note: Must call the isletter function

# -----------------------------------------------

# -----------------------------------------------

# isletter (20 points)

#

# $a0: a value

$ $v0: returns 1 if the value in $a0 is the ascii code of an English letter, 0 otherwise

# -----------------------------------------------

"

returnres : .space 100

       .text

       .globl main

main:

       la $a0, dialog

       la $a1, returnres

       jal findmax

       li $v0,4                     # now print the found longest word

       la $a0,returnres

       syscall

      

done:li $v0, 10              # Exit

       syscall

findmax:     

       jr $ra

getword:

       jr $ra

isletter:

       jr $ra

# -----------------------------------------------

# strcpy

#

# Note: copies the string starting at $a1 to an allocated memory space starting at $a0, the same

#       as the code we wrote in the class, will be useful

# -----------------------------------------------

strcpy:      

lb $t0, 0($a1)

       sb $t0, 0($a0)

       addi $a0, $a0, 1

       addi $a1, $a1, 1

       bne $t0, $0, strcpy

       jr $ra

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