2016
DOI: 10.1109/jphot.2016.2581485
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Orthogonal Polynomial-Based Nonlinearity Modeling and Mitigation for LED Communications

Abstract: Light-emitting diode (LED) is the major source of nonlinearity in LED communications, and the nonlinearity needs to be modelled effectively and thereby mitigated through predistortion or postdistortion to avoid degradation of communication performance. Memory polynomial is often used for LED nonlinearity modelling and mitigation in the literature. However, the estimation of memory polynomial coefficients suffers from numerical instability, resulting in inaccurate modelling and poor performance in nonlinearity … Show more

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Cited by 23 publications
(11 citation statements)
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“…Its complexity can lead to practical problems. A memory polynomial model that reduces complexity was initially proposed for signal predistortion in the power amplifier (PA) [41,42], and it was recently considered for a pre-distorter (post-distorter) in VLC [36,43]. The Wiener [35] and Hammerstein [36] models can be seen as an overly simplified subset of the Volterra model.…”
Section: Led Models For Communicationsmentioning
confidence: 99%
“…Its complexity can lead to practical problems. A memory polynomial model that reduces complexity was initially proposed for signal predistortion in the power amplifier (PA) [41,42], and it was recently considered for a pre-distorter (post-distorter) in VLC [36,43]. The Wiener [35] and Hammerstein [36] models can be seen as an overly simplified subset of the Volterra model.…”
Section: Led Models For Communicationsmentioning
confidence: 99%
“…. , x n+M ] T , the output of the ELM is approximately a(x n ) + i n , where a(x n ) and i n are defined in (21). This enables us to estimate a(α i ), i n and V to evaluate the likelihood p(y n |x n ) in (22), which is detailed in the following.…”
Section: Input Outputmentioning
confidence: 99%
“…A possible solution is to first estimate the polynomial coefficients {a k,m } in ( 6) and then calculate a(α i ), i n and V . However, it can be difficult since the estimation of memory polynomial coefficients involves the inversion of a correlation matrix with ill condition, which can easily lead to numerical instabilities especially for high order or even moderate order polynomials [13], [21]. In addition, it can also be difficult to determine the polynomial order and memory length to properly model the LED nonlinearity and memory effects.…”
Section: Elm Based Iterative Receivermentioning
confidence: 99%
“…As the bandwidth of modulated signal increased, more profound memory effect is exhibited in LED [16]. The well-known memory polynomial (MP) and generalized MP are traditional but still popular models for DPD [17]. Nevertheless, only the diagonal kernels are employed in MP which are insufficient to characterize the memory behavior of LED.…”
Section: Introductionmentioning
confidence: 99%