Name
Title | ||
|---|---|---|
Analog Precoder and Equalizer Designs and their Geometry for Multichannel Communication |
Abstract | ||
|---|---|---|
This is a paper on modulation theory that addresses joint analog precoder and equalizer design for multichannel data transmission over the frequency-selective additive Gaussian noise (AGN) channel. The design goal is to maximize mutual information rate, minimize the mean square error, or minimize the bit error rate subject to a transmit power constraint. We assume a continuous channel model with precoder transmissions for m subchannels that lie in an n-dimensional linear subspace of L2(R). m and n are design parameters. We first design the subspace according to the channel characteristics, and then design the precoders as functions in this subspace. After the design of the optimal precoder and equalizer, we explore the geometry of these designs. We show that all of these precoder and equalizer designs are, in fact, decompositions of a virtual two- channel problem into a system of canonical coordinates, wherein variables in the canonical message channel are correlated only pairwise with corresponding variables in the canonical measurement channel. This finding clarifies the geometry of precoder and equalizer designs and illustrates that they decompose the two-channel communication problem into what might be called the Shannon channel. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TWC.2008.060666 | IEEE Transactions on Wireless Communications |
Keywords | Field | DocType |
analog precoder,equalizer designs,bit error rate,data communication,awgn channels,canonical message channel,precoding,continuous channel model,shannon channel,design parameter,mean square error,joint analog precoder,two-channel communication problem,channel characteristic,canonical measurement channel,frequency-selective additive gaussian noise channel,channel problem,canonical coordinates,design goal,multichannel communication,equalisers,equalizer design,data transmission,equalizer,error statistics,geometry,n-dimensional linear subspace,matrix decomposition,gaussian noise,mutual information,ofdm,frequency,gold,time frequency analysis | Subspace topology,Data transmission,Communication channel,Adaptive equalizer,Geometry,Gaussian noise,Mathematics,Orthogonal frequency-division multiplexing,Precoding,Bit error rate | Journal |
Volume | Issue | ISSN |
7 | 8 | 1536-1276 |
Citations | PageRank | References |
0 | 0.34 | 16 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhifei Fan | 1 | 0 | 0.34 |
| Louis L. Scharf | 2 | 2525 | 414.45 |
| J. A. Gubner | 3 | 150 | 17.76 |