FILTER BANK TRANSCEIVERS FOR OFDM AND DMT SYSTEMS

Transcription

1 FILTER BANK TRANSCEIVERS FOR OFDM AND DMT SYSTEMS YUAN-PEI LIN National Chiao Tung University, Taiwan SEE-MAY PHOONG National Taiwan University P. P. VAIDYANATHAN California Institute of Technology CAMBRIDGE UNIVERSITY PRESS

2 Contents Preface xi 1 Introduction Notations 7 2 Preliminaries of digital communications Discrete-time channel models 9 ' ' 2.2 Equalization Digital modulation Pulse amplitude modulation (РАМ) Quadrature amplitude modulation (QAM) Parallel subchannels Further reading Problems 31 3 FIR equalizers Zero-forcing equalizers Orthogonality principle and linear estimation Biased and unbiased linear estimates Estimation of multiple random variables MMSE equalizers FIR channels MIMO frequency-nonselective channels Examples Symbol detection for MMSE receivers Channel-shortening equalizers Concluding Remarks Problems 65 4 Fundamentals of multirate signal processing Multirate building blocks Transform domain formulas Multirate identities Blocking and unblocking Decimation filters Interpolation filters Time domain view of interpolation filter The Nyquist(M) property 82 vn

3 Vlll CONTENTS 4.4 Polyphase decomposition Decimation and interpolation filters Synthesis filter banks Analysis filter banks Concluding remarks Problems 91 Multirate formulation of communication systems Filter bank transceivers The multiplexing operation Redundancy in filter bank transceivers Types of distortion in transceivers Analysis of filter bank transceivers ISI-free filter bank transceivers Polyphase approach Channel-independent ISI-free filter bank transceivers Pseudocirculant and circulant matrices Pseudocirculants and blocked versions of scalar systems Circulants and circular convolutions Redundancy for IBI elimination Zero-padded systems Cyclic-prefixed systems Summary and comparison IBI-free systems with reduced redundancy Fractionally spaced equalizer systems Zero-forcing FSE systems Polyphase approach Concluding remarks Problems 129 DFT-based transceivers OFDM systems Noise analysis Bit error rate Zero-padded OFDM systems Zero-forcing receivers The MMSE receiver Single-carrier systems with cyclic prefix (SC-CP) Noise analysis: zero-forcing case The MMSE receiver Error analysis: MMSE case Single-carrier system with zero-padding (SC-ZP) Filter bank representation of OFDM systems Transmitted power spectrum ZP-OFDM systems DMT systems Channel estimation and carrier frequencysynchronization Pilot symbol aided modulation Synchronization of carrier frequency 179

4 6.8 A historical note and further reading Problems 181 Precoded OFDM systems Zero-forcing precoded OFDM systems Optimal precoders for QPSK modulation Optimal precoders: other modulations MMSE precoded OFDM systems MMSE receivers Optimal precoders for QPSK modulation Other modulation schemes Simulation examples Further reading Problems 220 Transceiver design with channel information at the transmitter Zero-forcing block transceivers Zero-forcing ZP systems Zero-forcing ZJ systems Problem formulation Optimal bit allocation Optimal ZP transceivers Optimal G zp Optimal A zp Summary and discussions Optimal zero-jamming (ZJ) transceivers Optimal S zj Optimal A zj Summary and discussions Further reading Problems 254 DMT systems with improved frequency characteristics Sidelobes matter! Overall transfer matrix Transmitters with subfilters Choosing the subfilters as a DFT bank DFT bank implementation Design of transmit subfilters Receivers with subfilters Choosing subfilters as a DFT bank DFT bank implementation Design of receiver subfilters Zero-padded transceivers Further reading Problems 286

5 X CONTENTS 10 Minimum redundancy FIR transceivers Polyphase representation Properties of pseudocirculants Smith form decomposition DFT decomposition Properties derived from the two decompositions Congruous zeros Transceivers with no redundancy FIR minimal transceivers IIR minimal transceivers Minimum redundancy Smith form of FIR pseudocirculants Proof of Theorem Identical Smith forms Zeros from different Bi decouple An example of deriving the Smith form of (2) Smith form of S(z) Further reading Problems 319 A Mathematical tools 323 В Review of random processes ' 327 B.l Random variables i. 327 B.2 Random processes < 329 B.3 Processing of random variables and random processes 332 B.4 Continuous-time random processes- u,, 336 References 341 Index 355 ;