New Criteria for Blind Equalization Based on PDF Fitting

Souhaila Fki (1, 2) , Malek Messai (1, 2) , Abdeldjalil Aissa El Bey (3, 1) , Thierry Chonavel (4, 1)

1 SC - Département Signal et Communications
2 Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
3 Lab-STICC_TB_CACS_COM
4 Lab-STICC_TB_CID_TOMS

In this paper, we address M-QAM blind equalization by fitting the probability density functions (pdf) of the equalizer output with the constellation symbols. We propose two new cost functions, based on kernel pdf approximation, which force the pdf at the equalizer output to match the known constellation pdf. The kernel bandwidth of a Parzen estimator is updated during iterations to improve the convergence speed and to decrease the residual error of the algorithms. Unlike related existing techniques, the new algorithms measure the distance error between observed and assumed pdfs for the real and imaginary parts of the equalizer output separately. The proposed approaches outperform CMA and classical pdf fitting methods in terms of convergence speed and residual error.

Mots clés: Blind equalization; Parzen windowing

Domaines: Traitement du signal et de l'image [eess.SP]

Souhaila Fki, Malek Messai, Abdeldjalil Aissa El Bey, Thierry Chonavel. New Criteria for Blind Equalization Based on PDF Fitting. SPAWC 2014 : 15th IEEE International Workshop on Signal Processing Advances in Wireless Communications, Jun 2014, Toronto, Canada. pp.489 - 493. ⟨hal-01057136⟩