This is the MATLAB code for reproducing the results as described in

"A Sparse Auditory Envelope Representation with Iterative Reconstruction for Audio Coding" Ph.D. Thesis, Joachim Thiemann, March 2011

All you need to do to run this code is to point the "audioread" function in the main script RunThesisCode.m to a mono 16kHz audio file, then run the script. The variable x_out will be the reconstructed audio.