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Methods and apparatuses for signaling with geometric constellations in a Rayleigh fading channel

專利號
US11889325B2
公開日期
2024-01-30
申請人
Constellation Designs, LLC（US PA Wayne）
發(fā)明人
Maged F. Barsoum; Christopher R. Jones
IPC分類
H04W24/02; H04L1/00; H04L27/34; H04L5/00; H04W72/0453; H04W72/044
技術(shù)領(lǐng)域
capacity,pam,snr,optimized,pd,fading,rayleigh,in,snrs,channel
地域： PA PA Wayne

摘要

Communication systems are described that use signal constellations, which have unequally spaced (i.e. ‘geometrically’ shaped) points. In many embodiments, the communication systems use specific geometric constellations that are capacity optimized at a specific SNR, over the Rayleigh fading channel. In addition, ranges within which the constellation points of a capacity optimized constellation can be perturbed and are still likely to achieve a given percentage of the optimal capacity increase compared to a constellation that maximizes dmin, are also described. Capacity measures that are used in the selection of the location of constellation points include, but are not limited to, parallel decode (PD) capacity and joint capacity.

說明書

A constellation can be parameterized by the total number of constellation points, M, and the number of real dimensions, Ndim. In systems where there are no belief propagation iterations between the decoder and the constellation bit demapper, the constellation demapper can be thought of as part of the channel. A diagram conceptually illustrating the portions of a communication system that can be considered part of the channel for the purpose of determining PD capacity is shown in FIG. 4a. The portions of the communication system that are considered part of the channel are indicated by the ghost line 40. The capacity of the channel defined as such is the parallel decoding (PD) capacity, given by:

C PD = ∑ i = 0 l - 1 ? ? I ? ( X i ; Y )
where Xi is the ith bit of the l-bits transmitted symbol, and Y is the received symbol, and I(A;B) denotes the mutual information between random variables A and B.

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