1. Audio Demixing with Decorrelation, Cross Cancellation, Normalization, and Regularization Sean Webster Mentors: Ernie Esser, Jack Xin

2. The Problem

3. Partial Inversion

4. Decorrelation

5. l 1 Normalization Constraint

6. Cross Cancellation

7. Regularization

8. Results Instantaneous ACross Cancellation A

9. Results Cross Cancellation + Normalization + Regularization A Cross Cancellation + Normalization + Regularization + Decorrelation A

10. Results Convoluted ACross Cancellation A

11. Results Cross Cancellation + Normalization A

12. References Alexis Favrot, Christof Faller, and Fabian Kuech. Reverberation modeling in acoustic echo suppression. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2011. Jie Liu, Jack Xin, Yingyong Qi, and Fan-Gang Zheng. A time domain algorithm for blind separation of convolutive sound mixtures and L1 constrainted minimization of cross correlations. Communications in Mathematical Sciences, 7(1):109–128, 2009. Meng Yu, Wenye Ma, Jack Xin, and Stanley Osher. A convex speech extraction model and fast compu- tation by the split bregman method. Pages 1–8, 2010.