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FIR filter representations of reduced-rank noise reduction

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2 Author(s)
Hansen, P.C. ; Dept. of Math. Modelling, Tech. Univ. Denmark, Lyngby, Denmark ; Jensen, S.H.

We show that the reduced-rank output signal computed via truncated (Q)SVD is identical to that from an array of parallelly connected analysis-synthesis finite impulse response (FIR) filter pairs. The filter coefficients are determined by the (Q)SVD, and the filters provide an explicit description of the reduced-rank noise reduction algorithm in the frequency domain

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Signal Processing, IEEE Transactions on  (Volume:46 ,  Issue: 6 )