Abstract / truncated to 115 words (read the full abstract)

The concept of polynomial matrices is introduced and the potential application of polynomial matrix decompositions is discussed within the general context of multi-channel digital signal processing. A recently developed technique, known as the second order sequential rotation algorithm (SBR2), for performing the eigenvalue decomposition of a para-Hermitian polynomial matrix (PEVD) is presented. The potential benefit of using the SBR2 algorithm to impose strong decorrelation on the signals received by a broadband sensor array is demonstrated by means of a suitable numerical simulation. This demonstrates how the polynomial matrices produced as a result of the PEVD can be of unnecessarily high order. This is undesirable for many practical applications and slows down the iterative computational procedure. ... toggle 6 keywords

polynomial matrix – polynomial matrix qr decomposition – polynomial matrix eigenvalue decomposition – polynomial matrix singular value decomposition – paraunitary matrix – broadband mimo channel equalisation

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