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B. P. Lathi, Zhi Ding - Modern Digital and Analog Communication Systems-Oxford University Press (2009)

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Contents

xiii

1 0.3 COHERENT RECEIVERS FOR DIGITAL CARRIER

MODULATIONS 520

10.4 SIGNAL SPACE ANALYSIS OF OPTIMUM DETECTION 525

10.4.1 Geometrical Signal Space 525

10.4.2 Signal Space and Basis Signals 527

10.5 VECTOR DECOMPOSITION OF WHITE NOISE RANDOM

PROCESSES 530

10.5.1 Determining Basis Functions for a Random Process 530

10.5.2 Geometrical Representation of White Noise Processes

531

10.5.3 White Gaussian Noise 533

10.5.4 Properties of Gaussian Random Process 534

10.6 OPTIMUM RECEIVER FOR WHITE GAUSSIAN NOISE

CHANNELS 536

10.6.1 Geometric Representations 536

10.6.2 Dimensionality of the Detection Signal Space 538

10.6.3 (Simplified) Signal Space and Decision Procedure 541

10.6.4 Decision Regions and Error Probability 545

10.6.5 Multiamplitude Signaling (PAM) 551

10.6.6 M-ary QAM Analysis 554

10.7 GENERAL EXPRESSION FOR ERROR PROBABILITY OF OPTIMUM

RECEIVERS 561

10.8 EQUIVALENT SIGNAL SETS 569

10.8.1 Minimum Energy Signal Set 572

10.8.2 Simplex Signal Set 575

1 0. 9 NONWHITE (COLORED) CHANNEL NOISE 577

1 0. 10 OTHER USEFUL PERFORMANCE CRITERIA 578

1 0. 1 1 NONCOHERENT DETECTION 581

10.12 MATLAB EXERCISES 589

1 1

SPREAD SPECTRUM

COMMUNICATIONS 614

1 1. 1 FREQUENCY HOPPING SPREAD

SPECTRUM (FHSS) SYSTEMS 614

11.2 MULTIPLE FHSS USER SYSTEMS AND PERFORMANCE

1 1.3

11.4

11.5

11.6

APPLICATIONS OF FHSS 621

DIRECT SEQUENCE SPREAD SPECTRUM

RESILIENT FEATURES OF DSSS 628

624

CODE DIVISION MULTIPLE-ACCESS (CDMA) OF DSSS

618

630

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