New blind equalization techniques based on improved square contour algorithm

Sheikh, Shahzad Amin; Fan, Pingzhi

doi:10.1016/j.dsp.2007.09.001

Cited by 26 publications

(22 citation statements)

References 14 publications

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“…In a recent work [52], we have performed the EMSE analysis of MMA2-2 and βMMA [44] by assuming that the real and imaginary parts of equalized signals are Gaussian distributed in the steady-state. Moreover, the approach of [14] has been employed to study the steady-state performance of a number of adaptive blind equalization algorithms e.g., the so-called hybrid algorithm [53], the square contour algorithm [54], the improved square contour algorithm [55], and the varying-modulus algorithms [56].…”

Section: Literature Reviewmentioning

confidence: 99%

Performance analysis of a family of adaptive blind equalization algorithms for square-QAM

Azim

Abrar

Zerguine

et al. 2016

Digital Signal Processing

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Section: Literature Reviewmentioning

confidence: 99%

Performance analysis of a family of adaptive blind equalization algorithms for square-QAM

Azim

Abrar

Zerguine

et al. 2016

Digital Signal Processing

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“…Here, we emphasize that no approximations were involved in the derivation of(21). Also, it is experimentally observed that EMSE is the smallest positive root of(21).…”

mentioning

confidence: 94%

“…Abrar et al [17] performed the EMSE analysis of CMA2-2 and βCMA [18] by assuming that the modulus of equalized signals is Rician distributed in the steady-state. Moreover, this theorem has been employed to study the steady-state analysis of a number of adaptive blind equalization algorithms like in the analyses of the so-called hybrid algorithm [19], the square contour algorithm [20], the improved square contour algorithm [21] and the varyingmodulus algorithms [22].…”

Section: Introductionmentioning

confidence: 99%

Steady-state performance of multimodulus blind equalizers

et al. 2015

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a b s t r a c tMultimodulus algorithms (MMA) based adaptive blind equalizers mitigate inter-symbol interference in a digital communication system by minimizing dispersion in the quadrature components of the equalized sequence in a decoupled manner, i.e., the in-phase and quadrature components of the equalized sequence are used to minimize dispersion in the respective components of the received signal. These unsupervised equalizers are mostly incorporated in bandwidth-efficient digital receivers (wired, wireless or optical) which rely on quadrature amplitude modulation based signaling. These equalizers are equipped with nonlinear error-functions in their update expressions which makes it a challenging task to evaluate analytically their steady-state performance. However, exploiting variance relation theorem, researchers have recently been able to report approximate expressions for steady-state excess mean square error (EMSE) of such equalizers for noiseless but interfering environment.In this work, in contrast to existing results, we present exact steady-state tracking analysis of two multimodulus equalizers in a non-stationary environment. Specifically, we evaluate expressions for steady-state EMSE of two equalizers, namely the MMA2-2 and the βMMA. The accuracy of the derived analytical results is validated using different set experiments and found in close agreement.

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“…According to [3] [7] [8], the channel is not ideal due to reflections and delays caused by the physical environment such as ground, buildings and cables. Those reflections and delays cause distortion of the received signal which is referred as ISI [3] [9]. Thus, a blind adaptive equalizer may be used to remove the unwanted ISI of the system to produce the source signal [10]- [14].…”

Section: Introductionmentioning

confidence: 99%

Under What Condition Do We Get Improved Equalization Performance in the Residual ISI with Non-Biased Input Signals Compared with the Biased Version

Pinchas¹

2015

JSIP

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Recently, closed-form approximated expressions were obtained for the residual Inter Symbol Interference (ISI) obtained by blind adaptive equalizers for the biased as well as for the non-biased input case in a noisy environment. But, up to now it is unclear under what condition improved equalization performance is obtained in the residual ISI point of view with the non-biased case compared with the biased version. In this paper, we present for the real and two independent quadrature carrier case a closed-form approximated expression for the difference in the residual ISI obtained by blind adaptive equalizers with biased input signals compared with the non-biased case. Based on this expression, we show under what condition improved equalization performance is obtained from the residual ISI point of view for the non-biased case compared with the biased version.

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New blind equalization techniques based on improved square contour algorithm

Cited by 26 publications

References 14 publications

Performance analysis of a family of adaptive blind equalization algorithms for square-QAM

Performance analysis of a family of adaptive blind equalization algorithms for square-QAM

Steady-state performance of multimodulus blind equalizers

Under What Condition Do We Get Improved Equalization Performance in the Residual ISI with Non-Biased Input Signals Compared with the Biased Version

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