Polynomial matrix decompositions and semi-blind channel estimation for MIMO frequency-selective channels

Polynomial matrix decompositions and semi-blind channel estimation for MIMO frequency-selective channels

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The authors propose a semi-blind channel estimation (semi-BCE) and precoding/decoding technique for frequency selective (FS) multiple-input multiple-output (MIMO) channels. A FS MIMO channel can be represented using a matrix whose elements are polynomials; hence their method is based on polynomial matrix decomposition. Polynomial eigenvalue decomposition (PEVD) and polynomial QR decomposition (PQRD) are the generalisation of eigenvalue decomposition and QR decomposition; they are suitable for decoupling and precoding of FS MIMO channels. As the coding of communication channels requires reliable estimation of the channel, a semi-BCE scheme, coupled with PQRD/PEVD-based MIMO-channel decomposition, is attractive since this reduces training overhead (pilot transmission) considerably, resulting in higher spectral efficiency. The proposed semi-BCE algorithm is a generalisation of a recently developed single-input single output BCE method to MIMO systems. A new class of PQRD algorithms is introduced, which is based on the recently-developed sequential matrix diagonalisation (SMD). The decoders produced by the proposed SMD-based PQRD algorithm are shown to be more suitable (efficient) for MIMO-channel equalisation than those generated by the prior art. Computer simulations show that the proposed MIMO-channel coding strategy compares favourably to state-of-the-art MIMO systems, in terms of bit error rate performance, while reducing the overhead.

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