Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital signal processing (3rd ed.): principles, algorithms, and applications
Matrix computations (3rd ed.)
Precoding and Signal Shaping for Digital Transmission
Precoding and Signal Shaping for Digital Transmission
Wireless Communications
Toeplitz and circulant matrices: a review
Communications and Information Theory
Full-rank and rank-deficient precoding schemes for single-carrier block transmissions
IEEE Transactions on Signal Processing
Sensitivity of Multiband ZP-OFDM Ultra-Wide-Band and Receivers to Synchronization Errors
IEEE Transactions on Signal Processing
Redundant filterbank precoders and equalizers. I. Unification andoptimal designs
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Linear transmit processing in MIMO communications systems
IEEE Transactions on Signal Processing - Part I
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The zero-padded block transmission with linear time-domain pre-equalizer is studied in this paper. A matched filter is exploited to guarantee the stability of the zero-forcing (ZF) and minimum mean square error (MMSE) pre-equalization. Then, in order to compute the pre-equalizers efficiently, an asymptotic decomposition is developed for the positive-definite Hermitian banded Toeplitz matrix. Compared to the direct matrix inverse methods or the Levinson-Durbin algorithm, the computational complexity of the proposed algorithm is significantly decreased and there is no bit error rate degradation when data block length is large.