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2004 | Buch

SDMA for Multipath Wireless Channels

Limiting Characteristics and Stochastic Models

verfasst von: Igor P. Kovalyov

Verlag: Springer Berlin Heidelberg

Buchreihe : Signals and Communication Technology

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SUCHEN

Über dieses Buch

Space Division Multiple Access (SDMA) is one of the most promising methods in solving the capacity problem of wireless communication systems. In addition to creating more efficient SDMA algorithms it is vital to determine and understand the theoretical limit of performance improvement. The greatest challenge is extending Shannon’s channel capacity equation to cover the wireless channels that use spatial signal processing. This book defines formulas which can be used to evaluate the limit capacity of multipath wireless channels in a particular receiving region with size limitation. It also contains charts with optimum numbers of space subchannels and limit capacities related to radio channel parameters. The book also investigates stochastic models for 2-D and 3-D multipath random radio channels. The non-ray method for building a stochastic model, based on spherical harmonics, is presented here for the first time.

Inhaltsverzeichnis

Frontmatter
1. Introduction
Abstract
Chapter 1 presents an overview of multipath wireless channels. The problems of their modeling and estimating the limit capacity are brought forward.
Igor P. Kovalyov
2. Limit Capacity and Statistical Models of Wireless Channels
Abstract
This chapter is intended for the readers who, being reluctant to follow the intricacies of mathematical transformations, are prepared to take the computational equations presented in the book on trust. This chapter serves the reference purposes and contains major design formulae. Using the calculation apparatus presented here the reader will be able to estimate the limit capacity and the required optimal quantity of spatial subchannels all by himself. In doing so, the reader can vary the number of radiation sources, their spatial arrangement, the shape of the receiving area and other initial parameters.
Igor P. Kovalyov
3. Capacity of Multiple Input Multiple Output Communication Systems
Abstract
This chapter provides the insights necessary for estimating the capacity of multiple input multiple output (MIMO) systems. The representation of the MIMO system is considered here as a multitude of individual and independent subchannels. A method for handling the problem of optimal power distribution with various types of interference is presented.
Igor P. Kovalyov
4. Analysis of the Two-Dimensional Multipath Channel
Abstract
In Chapter 4 consideration is being given to two-dimensional multipath wireless channels. In the 2-D wireless channel, all wave sources are located in a single plane (the horizontal, to be more specific.) The distance to the sources is assumed to be big enough to think of the waves produced by them as plane. The verticalcoordinate dependence of the strength of the electric and magnetic field can be neglected.
Igor P. Kovalyov
5. Body of Mathematics for Analysis of Three-Dimensional Multipath Wireless Channels: Spherical Harmonics
Abstract
The commonly accepted visualization of the electromagnetic field in the receiving area consists in thinking of it as a sum of plane waves (rays) produced by various sources. However, such conceptualization is convenient for small quantities of rays only. In case of a multipath channel with a limited-size receiving area, there is good reason to represent the field as an integration of spherical harmonic fields. The following reasoning substantiates the advantage of such conceptualization. First, spherical harmonics allow a vector-to-scalar transition in field description (i.e. a change-over from the strength vectors E and H to electric and magnetic potentials). Second, spherical harmonics make an orthogonal system of functions on the sphere. The coefficients of the electromagnetic field expansion into spherical harmonics allow us to represent a continuous field in terms of a discrete set of complex numbers.
Igor P. Kovalyov
6. Matrix Element Calculation Formulae for Three-Dimensional Wireless Channels
Abstract
An estimation of the limiting characteristics of a 3-D wireless channel is similar to a numerical evaluation of the characteristics of a 2-D channel. It is based on the formulae of Chap. 3. The difference resides only in the method of computing the matrix array characterizing the channel. In this chapter we present a number of calculation techniques for the three-dimensional wireless channel.
Igor P. Kovalyov
7. Limit Capacity of the Three-Dimensional Wireless Channel with Potential Antennas
Abstract
This chapter sets out the results of numerical evaluation of the maximum attainable channel capacity with a preassigned receiving area in the 3-D space. We proceed from the assumption that the maximum channel capacity can be achieved through employment of some speculative potential receiving antenna. The term potential antenna owes its origin to two factors. First, with use of such antenna the limit (potential) performance characteristics of the channel are attained. Second, its estimation is based on the concept of the electric and magnetic potentials introduced in Chap. 5.
Igor P. Kovalyov
8. Statistical Model of the Three-Dimensional Multipath Wireless Channel
Abstract
Three-dimensional wireless channel modeling has received less extensive coverage in literature than two-dimensional modeling. With a traditional ray-based approach to modeling [3] the resulting three-dimensional model appears much more cumbersome than a two-dimensional one. At the same time, a two-dimensional model lacks accuracy in terms of spatial treatment since it does not take into consideration vertical field variations.
Igor P. Kovalyov
Backmatter
Metadaten
Titel
SDMA for Multipath Wireless Channels
verfasst von
Igor P. Kovalyov
Copyright-Jahr
2004
Verlag
Springer Berlin Heidelberg
Electronic ISBN
978-3-642-18863-3
Print ISBN
978-3-642-62330-1
DOI
https://doi.org/10.1007/978-3-642-18863-3