Title :
Adaptive minimum symbol-error-rate decision feedback equalization for multilevel pulse-amplitude modulation
Author :
Chen, Sheng ; Hanzo, Lajos ; Mulgrew, Bernard
Author_Institution :
Sch. of Electron. & Comput. Sci., Univ. of Southampton, UK
fDate :
7/1/2004 12:00:00 AM
Abstract :
The design of decision feedback equalizers (DFEs) is typically based on the minimum mean square error (MMSE) principle as this leads to effective adaptive implementation in the form of the least mean square algorithm. It is well-known, however, that in certain situations, the MMSE solution can be distinctly inferior to the optimal minimum symbol error rate (MSER) solution. We consider the MSER design for multilevel pulse-amplitude modulation. Block-data adaptive implementation of the theoretical MSER DFE solution is developed based on the Parzen window estimate of a probability density function. Furthermore, a sample-by-sample adaptive MSER algorithm, called the least symbol error rate (LSER), is derived for adaptive equalization applications. The proposed LSER algorithm has a complexity that increases linearly with the equalizer length. Computer simulation is employed to evaluate the proposed alternative MSER design for equalization application with multilevel signaling schemes.
Keywords :
adaptive equalisers; conjugate gradient methods; convergence of numerical methods; decision feedback equalisers; error statistics; least mean squares methods; probability; pulse amplitude modulation; DFE; M-PAM signaling scheme; MMSE solution; MSER algorithm; Parzen window estimate; adaptive decision feedback equalization; block-data adaptive implementation; conjugate gradient adaptive algorithm; least symbol error rate; minimum symbol error rate solution; multilevel pulse-amplitude modulation; probability density function; sample-by-sample adaptive algorithm; stochastic gradient algorithm; Adaptive equalizers; Algorithm design and analysis; Application software; Computer simulation; Decision feedback equalizers; Error analysis; Least mean square algorithms; Mean square error methods; Probability density function; Pulse modulation;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2004.828944