Fundamentals of Time-Varying Communication Channels

Publisher Summary This chapter discusses the fundamentals of wireless channels from a signal processing and communications perspective. In many of wireless systems, the transmitter or the receiver is mobile. These may move with significant velocities. These situations give rise to time variations of the wireless channel due to the Doppler effect. Because of their practical relevance, linear time-varying (LTV) channels, also referred to as time-frequency (TF) dispersive or doubly dispersive, as well as TF selective or doubly selective, have attracted considerable interest in the fields of signal processing, communications, propagation, information theory, and mathematics. The chapter provides a survey of many of the concepts and tools that have been developed during the past six decades for characterizing, modeling, and measuring time-frequency dispersive channels. Some of the important physical aspects of LTV channels, and basic tools for a deterministic description of LTV channels are discussed with the statistical description of random LTV channels. Several techniques for measurement of LTV channels and their statistics are also discussed. Based on considerations of the physical propagation mechanisms, various deterministic and stochastic channel descriptions, including both wide-sense stationary uncorrelated scattering (WSSUS) and non-WSSUS channels are described.

[1]  Thomas F. Quatieri,et al.  Short-time Fourier transform , 1987 .

[2]  Deva K. Borah,et al.  Frequency-selective fading channel estimation with a polynomial time-varying channel model , 1999, IEEE Trans. Commun..

[3]  D. Cox.  Delay Doppler characteristics of multipath propagation at 910 MHz in a suburban mobile radio environment , 1972 .

[4]  H. Vincent Poor,et al.  Time-frequency and time-scale canonical representations of doubly spread channels , 2004, 2004 12th European Signal Processing Conference.

[5]  G. Matz.  Characterization and Analysis of Doubly Dispersive MIMO Channels , 2006, 2006 Fortieth Asilomar Conference on Signals, Systems and Computers.

[6]  Alister G. Burr,et al.  Survey of Channel and Radio Propagation Models for Wireless MIMO Systems , 2007, EURASIP J. Wirel. Commun. Netw..

[7]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[8]  Philip M. Woodward,et al.  Probability and Information Theory with Applications to Radar , 1954 .

[9]  John G. Proakis,et al.  Digital Communications , 1983 .

[10]  Helmut Bölcskei,et al.  Information-Theoretic Analysis of MIMO Channel Sounding , 2007, IEEE Transactions on Information Theory.

[11]  Karlheinz Gröchenig,et al.  Foundations of Time-Frequency Analysis , 2000, Applied and numerical harmonic analysis.

[12]  T. Kailath,et al.  Efficient inversion of Toeplitz-block Toeplitz matrix , 1983 .

[13]  Calvin H. Wilcox,et al.  The Synthesis Problem for Radar Ambiguity Functions , 1991 .

[14]  Fredrik Tufvesson,et al.  Characterization of Vehicle-to-Vehicle Radio Channels from Measurements at 5.2 GHz , 2009, Wirel. Pers. Commun..

[15]  Philip Schniter,et al.  Low-complexity equalization of OFDM in doubly selective channels , 2004, IEEE Transactions on Signal Processing.

[16]  S. Salous,et al.  Digital techniques for mobile radio chirp sounders , 1998 .

[17]  Anastasios N. Venetsanopoulos,et al.  Optimal on-off signaling over linear time-varying stochastic channels , 1974, IEEE Trans. Inf. Theory.

[18]  J.A.C. Bingham,et al.  Multicarrier modulation for data transmission: an idea whose time has come , 1990, IEEE Communications Magazine.

[19]  T. A. Thomas,et al.  Multi-user frequency-domain channel identification, interference suppression, and equalization for time-varying broadband wireless communications , 2000, Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop. SAM 2000 (Cat. No.00EX410).

[20]  S. S. Swords,et al.  Digital signal processing techniques applied to mobile radio channel sounding , 1991 .

[21]  Gerald Matz,et al.  Unbiased scattering function estimators for underspread channels and extension to data-driven operation , 2004, IEEE Transactions on Signal Processing.

[22]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[23]  Jean-Paul M. G. Linnartz,et al.  Iterative interference cancellation and channel estimation for mobile OFDM , 2005, IEEE Transactions on Wireless Communications.

[24]  P. C. Fannin,et al.  Wide-band measurement and analysis techniques for the mobile radio channel , 1993 .

[25]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[26]  R. Knopp,et al.  EMOS Platform: Real-Time Capacity Estimation of MIMO Channels in the UMTS-TDD Band , 2007, 2007 4th International Symposium on Wireless Communication Systems.

[27]  Georgios B. Giannakis,et al.  Estimation and equalization of fading channels with random coefficients , 1996, Signal Process..

[28]  L. Zadeh,et al.  Frequency Analysis of Variable Networks , 1950, Proceedings of the IRE.

[29]  G. Matz,et al.  Bounds on the systematic measurement errors of channel sounders for time-varying mobile radio channels , 1999, Gateway to 21st Century Communications Village. VTC 1999-Fall. IEEE VTS 50th Vehicular Technology Conference (Cat. No.99CH36324).

[30]  Georgios B. Giannakis,et al.  Basis expansion models and diversity techniques for blind identification and equalization of time-varying channels , 1998, Proc. IEEE.

[31]  Rohit U. Nabar,et al.  Introduction to Space-Time Wireless Communications , 2003 .

[32]  J. D. Parsons,et al.  Sounding techniques for wideband mobile radio channels : a review , 1991 .

[33]  T. Zemen,et al.  Time-variant channel estimation using discrete prolate spheroidal sequences , 2005, IEEE Transactions on Signal Processing.

[34]  Andreas F. Molisch,et al.  On the systematic measurement errors of correlative mobile radio channel sounders , 2002, IEEE Trans. Commun..

[35]  Patrick Flandrin,et al.  Time-Frequency/Time-Scale Analysis , 1998 .

[36]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[37]  T. Kailath,et al.  Measurements on time-variant communication channels , 1962, IRE Trans. Inf. Theory.

[38]  P. Bello.  Characterization of Randomly Time-Variant Linear Channels , 1963 .

[39]  Preben E. Mogensen,et al.  A stochastic MIMO radio channel model with experimental validation , 2002, IEEE J. Sel. Areas Commun..

[40]  Arch W. Naylor,et al.  Linear Operator Theory in Engineering and Science , 1971 .

[41]  N. Thomas Gaarder,et al.  Scattering function estimation , 1968, IEEE Trans. Inf. Theory.

[42]  G. Matz,et al.  Nonstationary vector AR modeling of wireless channels , 2005, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005..

[43]  Robert Spayde Kennedy,et al.  Fading dispersive communication channels , 1969 .

[44]  Ernst Bonek,et al.  A stochastic MIMO channel model with joint correlation of both link ends , 2006, IEEE Transactions on Wireless Communications.

[45]  F. Hlawatsch,et al.  Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory , 1998 .

[46]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[47]  Gerald Matz,et al.  Vector Time-Frequency AR Models for Nonstationary Multivariate Random Processes , 2009, IEEE Transactions on Signal Processing.

[48]  Edward J. Wegman,et al.  Statistical Signal Processing , 1985 .

[49]  Ye Jiang,et al.  Characterization of wideband time-varying channels with multipath-scale diversity , 2003, IEEE Workshop on Statistical Signal Processing, 2003.

[50]  Andreas F. Molisch,et al.  Wireless Communications , 2005 .

[51]  Georgios B. Giannakis,et al.  Subspace methods for blind estimation of time-varying FIR channels , 1997, IEEE Trans. Signal Process..

[52]  Rodney G. Vaughan,et al.  Channels, Propagation and Antennas for Mobile Communications , 2003 .

[53]  R. Gallager.  Information Theory and Reliable Communication , 1968 .

[54]  Steven M. Kay,et al.  Rapid estimation of the range-Doppler scattering function , 2003, IEEE Trans. Signal Process..

[55]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

[56]  Kareem E. Baddour,et al.  Autoregressive models for fading channel simulation , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[57]  Shlomo Shamai,et al.  Fading Channels: Information-Theoretic and Communication Aspects , 1998, IEEE Trans. Inf. Theory.

[58]  Gerd Sommerkorn,et al.  Identification of time-variant directional mobile radio channels , 2000, IEEE Trans. Instrum. Meas..

[59]  Geert Leus,et al.  On the estimation of rapidly time-varying channels , 2004, 2004 12th European Signal Processing Conference.

[60]  J. D. Parsons,et al.  The Mobile Radio Propagation Channel , 1991 .

[61]  Manfred Martin Hartmann,et al.  Analysis, Optimization, and Implementation of Low-Interference Wireless Multicarrier Systems , 2007, IEEE Transactions on Wireless Communications.

[62]  Thomas Kailath,et al.  Sampling models for linear time-variant filters , 1959 .

[63]  D. Slepian.  Prolate spheroidal wave functions, fourier analysis, and uncertainty — V: the discrete case , 1978, The Bell System Technical Journal.

[64]  Iain B. Collings,et al.  Characteristics of MIMO-OFDM Channels in Indoor Environments , 2007, EURASIP J. Wirel. Commun. Netw..

[65]  Gerald Matz.  Doubly underspread non-WSSUS channels: analysis and estimation of channel statistics , 2003, 2003 4th IEEE Workshop on Signal Processing Advances in Wireless Communications - SPAWC 2003 (IEEE Cat. No.03EX689).

[66]  Petre Stoica,et al.  Introduction to spectral analysis , 1997 .

[67]  Geoffrey Ye Li,et al.  Robust channel estimation for OFDM systems with rapid dispersive fading channels , 1998, IEEE Trans. Commun..

[68]  Allen Gersho,et al.  Characterization of time-varying linear systems , 1963 .

[69]  Gerald Matz,et al.  Simulation of wideband mobile radio channels using subsampled ARMA models and multistage interpolation , 2001, Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No.01TH8563).

[70]  Akbar M. Sayeed,et al.  Deconstructing multiantenna fading channels , 2002, IEEE Trans. Signal Process..

[71]  G. Matz,et al.  On non-WSSUS wireless fading channels , 2005, IEEE Transactions on Wireless Communications.

[72]  Georgios B. Giannakis,et al.  Modelling and equalization of rapidly fading channels , 1996 .

[73]  Gerald Matz,et al.  Nonstationary spectral analysis based on time-frequency operator symbols and underspread approximations , 2006, IEEE Transactions on Information Theory.

[74]  Ananthram Swami,et al.  Joint scale-lag diversity in wideband mobile direct sequence spread spectrum systems , 2007, IEEE Transactions on Wireless Communications.

[75]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise , 1992 .