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Filter

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The Matlab Function "Filter"
The type of filter is determined by two sets of coefficients A and B

Consider the filter with the following coefficients:
B=[1 1]*(1-a)/2
A=[1 -a]

if 1>a>0 these A and B values will correspond to a low pass filter. Using MATLAB:

1) By considering what effect this filter has on sin waves of varing frequency, find the -3dB cut-off frequency for a=0.7.

2)Is his filter linear and time inveriant? Devise a method to demenstrate your answer.

3)Calculate the variation of cut-off frequency with "a" in the range (0.25:0.95).

4)Using plots of the filter performance to illustrate!
 
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