Adaptive filter theory (2nd ed.)
Adaptive filter theory (2nd ed.)
Discrete-time signal processing (2nd ed.)
Discrete-time signal processing (2nd ed.)
Practical genetic algorithms
Convex Optimization
Wireless Communications
Generalized gradient adaptive step sizes for stochastic gradient adaptive filters
ICASSP '95 Proceedings of the Acoustics, Speech, and Signal Processing, 1995. on International Conference - Volume 02
IEEE Transactions on Signal Processing - Part I
Fast-Converging Blind Adaptive Channel-Shortening and Frequency-Domain Equalization
IEEE Transactions on Signal Processing
Blind, adaptive channel shortening by sum-squared auto-correlation minimization (SAM)
IEEE Transactions on Signal Processing
Equalization for discrete multitone transceivers to maximize bitrate
IEEE Transactions on Signal Processing
Second-order statistical approaches to channel shortening in multicarrier systems
IEEE Transactions on Signal Processing
Infinite length results and design implications for time-domain equalizers
IEEE Transactions on Signal Processing
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Channel shortening equalization plays an important role in multicarrier modulation (MCM) systems. In this paper, we propose a blind channel shortening equalizer structure named blind, adaptive channel shortening equalizer which can provide the shortened channel state information (BACS-SI). The algorithm depends on the minimization of a cost function defined as the sum-squared difference of the autocorrelations of the shortened channel impulse response (CIR) and a target impulse response. The surface is proven to be multimodal; however, minima are shown to be related to each other in a certain way. A two-phase approach is proposed. In the first phase, the cost function is minimized by a stochastic gradient descent algorithm in order to find an arbitrary minimum. In the second phase using the relation between minima, genetic algorithms are employed to find the best minimum according to a fitness function. The algorithm can both successfully shorten the channel and also explicitly provides shortened CIR which is a necessary information for the proper operation of a MCM receiver, in contrast to many other algorithms proposed in the literature which cannot directly provide this information.