How Do You Implement an Echo Canceler in Matlab?

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mfoster1012
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I have done numbers 1 and part of 2.

I got the transfer function to be 1+(alpha)*exp^(-sT). For part 2 i was able to get that the transfer function for the echo canceler was 1/(1+(alpha)*exp^-sT). This is where my trouble begins, i do not know how to expand it to an infinite series and then from that getting the impulse response of the echo canceler and then truncating that. I would move on to the Matlab part but i have never done MATLAB before and do not even know where to begin on that part. My teacher said this program could be written in just a few lines and all we would need for commands were filter, sum,zeroes and plot. Any help would be amazingly appreciated. Thanks yall.
 

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Does no one have any idea how to do any of this...even a little?