Subspace-Based Noise Reduction for Speech Signals via Diagonal and Triangular Matrix Decompositions: Survey and Analysis | Per Christian Hansen, Søren Holdt Jensen
| | Abstract | We survey the definitions and use of rank-revealing matrix decompositions in single-channel noise reduction algorithms for speech signals. Our algorithms are based on the rank-reduction paradigm and, in particular, signal subspace techniques. The focus is on practical working algorithms, using both diagonal (eigenvalue and singular value) decompositions and rank-revealing triangular decompositions (ULV, URV, VSV, ULLV and ULLIV). In addition we show how the subspace-based algorithms can be evaluated and compared by means of simple FIR filter interpretations. The algorithms are illustrated with working Matlab code and applications in speech processing. | | Type | Journal paper [With referee] | | Journal | EURASIP Journal on Advances in Signal Processing | | Year | 2007 | | Note | doi:10.1155/2007/92953 | | BibTeX data | [bibtex] | | IMM Group(s) | Scientific Computing |
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