How do I remove echoes from a .wav file?

In a project I am doing, I am trying to make a transcriber(find the note type and note length) work with echoes and a reverb effect. The notes i am trying to transcribe were created with a synthesizer that plays piano notes from C4-B5 with each note being separated by 50 zeros before being ran through the echo as a whole. The code i used for the echoes is as follows:

          N=length(data.wav);
          i = [1 zeros(1,N-1)];
          i(ceil(N/2))=.5;
          i(ceil(N/1.3333)) = 0.25;

          data.wav = filter(i,1,data.wav);

What would be a good way of removing the echo? Is there any way to reverse the filter function?

Answer 1

[Walter Roberson]

http://www.mathworks.com/help/dsp/examples/acoustic-echo-cancellation-aec.html

http://www.mathworks.com/matlabcentral/fileexchange/44478-fir-design

[Ethan Paramor]

What AEC filter would I use for my specific problem? Also, the filter in the other link doesn't seem to fully filter out the echoes.

[Walter Roberson]

I suspect you would be wanting to use the "far end" filter, but I do not know.

The second link is someone's homework code, and is not intended to be a full application for all purposes.