Achievable Rates for Nonlinear Volterra Channels

On the concentration of the crest factor for OFDM signals

“…It also improves the exponent by a factor of 2 as compared to Proposition 1 in the considered case (where γ = 1 2 ). The same kind of result applies easily to QAM-modulated OFDM signals, since the RVs are bounded which therefore enables to get a similar result to (15).…”

“…In the context of communication and information theoretic aspects, Azuma's inequality was used during the last decade in the coding literature for establishing concentration results for codes defined on graphs and iterative decoding algorithms (see, [8] and references therein). Some other martingale-based concentration inequalities were also recently applied to the performance evaluation of random coding over non-linear communication channels [15]. McDiarmid's inequality is an improved version of Azuma's inequality in the special case where one considers the concentration of a function f : R n → R of n independent RVs when the variation of f (x 1 , .…”

On Refined Versions of the Azuma-Hoeffding Inequality with Applications in Information Theory

“…In another recent work [68], Azuma's inequality was used to derive achievable rates and random coding error exponents for non-linear additive white Gaussian noise channels. This was followed by another work of the same authors [69] who used some other concentration inequalities, for discrete-parameter martingales with bounded jumps, to derive achievable rates and random coding error exponents for non-linear Volterra channels (where their bounding technique can be also applied to intersymbol-interference (ISI) channels, as was noted in [69]).…”

Capacity analysis for Gaussian channels with memoryless nonlinear hardware

“…A few works have also investigated the effects of nonlinearity on the capacity of communication systems [6], [7], and [8], all of which have focused on the multi-carrier signals given that this signal suffers significant distortions due to nonlinear amplifications. However despite the above works, the impact of device nonlinearity on the capacity of an arbitrary memoryless communication channel has not yet been clearly established from an information theoretic perspective.…”

“…However despite the above works, the impact of device nonlinearity on the capacity of an arbitrary memoryless communication channel has not yet been clearly established from an information theoretic perspective. The work in [8] focuses on Volterra nonlinear channels (with memory), while the perspectives of the works in [6], [7], are not on the information theoretic aspects.…”