Chapter 2

General Concept with the Diagonalization of the Speech Correlation Matrix


In this chapter, we study the general speech enhancement problem by considering the diagonalization of the speech correlation matrix in the context of the classical linear filtering technique. The entire problem is formulated as a function of the speech subspace. We define the most fundamental performance measures in this scenario. We then derive the well-known conventional filtering matrices for noise reduction and show how the nullspace of the speech correlation matrix is exploited in some of these approaches such as the MVDR and LCMV filtering.


Single diagonalization; Performance measures; Optimal filtering matrices; Maximum SNR; Wiener; MVDR; ...

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