1997
DOI: 10.1109/78.554317
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Reduced-rank adaptive filtering

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Cited by 279 publications
(170 citation statements)
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“…Instead of selecting dominant eigenvectors, selecting the eigenvectors that contain a large correlation with the desired user array response given by results in a better approximation. This approach is similar to one technique in [25] where the authors sort the basis vectors based on the cross spectral norm, defined as More precisely, let with . Then we can write and obtain the energy of the output signal where and is the -th eigenvalue in .…”
Section: Appendix Apn Design Using Cross Spectral Projectionsmentioning
confidence: 99%
“…Instead of selecting dominant eigenvectors, selecting the eigenvectors that contain a large correlation with the desired user array response given by results in a better approximation. This approach is similar to one technique in [25] where the authors sort the basis vectors based on the cross spectral norm, defined as More precisely, let with . Then we can write and obtain the energy of the output signal where and is the -th eigenvalue in .…”
Section: Appendix Apn Design Using Cross Spectral Projectionsmentioning
confidence: 99%
“…[4,9,10,11,15,16,21]. This lower rank estimate would still be a good approximation to the original but it would dramatically reduce the required computer processing power.…”
Section: Principal Component-signal Dependentmentioning
confidence: 99%
“…In this section we show that instead of selecting the eigenvectors corresponding to the dominant eigenvalues, selecting eigenvectors corresponding to the N d largest elements of the cross spectral norm cxs = Λ −1 U H rxs (cf. (4)) results in a reduced rank minimum MSE (MMSE) solution [7,8]. The vector rxs can be estimated using the LRB outputs and training signals similar to the technique in Section 4.1.…”
Section: Design 2: Cross Spectral Projectionsmentioning
confidence: 99%