Displacement structure: theory and applications
SIAM Review
Fast reliable algorithms for matrices with structure
Fast reliable algorithms for matrices with structure
Structured matrices and polynomials: unified superfast algorithms
Structured matrices and polynomials: unified superfast algorithms
SIAM Journal on Matrix Analysis and Applications
Capacity-approaching block-based transceivers with reduced redundancy
Digital Signal Processing
Time-varying FIR transmultiplexers with minimum redundancy
IEEE Transactions on Signal Processing
Block-based transceivers with minimum redundancy
IEEE Transactions on Signal Processing
Minimum redundancy for ISI free FIR filterbank transceivers
IEEE Transactions on Signal Processing
Redundant filterbank precoders and equalizers. I. Unification andoptimal designs
IEEE Transactions on Signal Processing
Jointly minimum BER transmitter and receiver FIR MIMO filters for binary signal vectors
IEEE Transactions on Signal Processing
Sparse Channel Estimation with Zero Tap Detection
IEEE Transactions on Wireless Communications
Perfect equalization for DMT systems without guard interval
IEEE Journal on Selected Areas in Communications
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This paper proposes real linear transceivers employing minimum redundancy, unlike the standard block transceivers that require, at least, L elements of redundancy, where L is the channel order. In all block-based systems, there is an inherent interblock interference (IBI) that can be eliminated by inserting redundancy. For transceivers based on the discrete Fourier transform (DFT), the redundancy induces a circulant channel matrix, allowing superfast implementations. Although it has been known for some time that the minimum redundancy for IBI-free designs of block transceivers is @?L/2@?, only recently practical DFT-based solutions using minimum redundancy were proposed. However, the extension of these solutions to real transforms, such as the discrete Hartley transform (DHT), is not straightforward. The only known solution imposes a symmetry on the channel model that is unlikely to be met in practice. This paper proposes transceivers with practical zero-forcing (ZF) and minimum mean-squared error (MMSE) receivers using DHT, diagonal, and antidiagonal matrices. The resulting systems are asymptotically as simple as orthogonal frequency-division multiplex (OFDM) and single-carrier with frequency-domain (SC-FD) equalization transceivers. In addition, they do not enforce constraints on the channel model. Several computer simulations indicate the higher throughput of the proposals as compared to the standard solutions.