Detection, Estimation, and Modulation Theory, Part III Radar-Sonar Signal Processing and Gaussian Signals in Noise

by Van Trees, Harry L.

• ISBN13: 9780471107934
• ISBN10: 047110793X
• Edition: 1st
• Format: Paperback
• Copyright: 2001-10-11
• Publisher: Wiley-Interscience

Summary

Paperback reprint of one of the most respected classics in the history of engineering publication Together with the reprint of Part I and the new Part IV, this will be the most complete treatment of the subject available Provides a highly-readable discussion of Signal Processing and Noise Features numerous problems and illustrations to help promote understanding of the topics Contents are highly applicable to current systems

Author Biography

HARRY L. VAN TREES, ScD, was Professor of Electrical Engineering at Massachusetts Institute of Technology. He served as Chief Scientist of the U.S. Air Force, Chief Scientist of the Defense Communications Agency, and Principle Deputy Assistant Secretary of Defense for C3I. He was President of M/A-Com-Linkabit Government Systems and a cofounder of CommQuest Technologies. He is currently Distinguished Professor of Electrical Engineering and Director of the C3I Center of Excellence at George Mason University, Fairfax, Virginia.

Table of Contents

Introduction	1	(7)
Review of Parts I and II	1	(2)
Random Signals in Noise	3	(3)
Signal Processing in Radar-Sonar Systems	6	(2)
References	7	(1)
Detection of Gaussian Signals in White Gaussian Noise	8	(48)
Optimum Receivers	9	(23)
Canonical Realization No. 1: Estimator-Correlator	15	(1)
Canonical Realization No. 2: Filter-Correlator Receiver	16	(1)
Canonical Realization No. 3: Filter-Squarer-Integrator (FSI) Receiver	17	(2)
Canonical Realization No. 4: Optimum Realizable Filter Receiver	19	(4)
Canonical Realization No. 45: State-variable Realization	23	(8)
Summary: Receiver Structures	31	(1)
Performance	32	(14)
Closed-form Expression for μ(s)	35	(3)
Approximate Error Expressions	38	(4)
An Alternative Expression for μR(s)	42	(2)
Performance for a Typical System	44	(2)
Summary: Simple Binary Detection	46	(2)
Problems	48	(8)
References	54	(2)
General Binary Detection: Gaussian Processes	56	(43)
Model and Problem Classification	56	(3)
Receiver Structures	59	(7)
Whitening Approach	59	(2)
Various Implementations of the Likelihood Ratio Test	61	(4)
Summary: Receiver Structures	65	(1)
Performance	66	(2)
Four Special Situations	68	(11)
Binary Symmetric Case	69	(3)
Non-zero Means	72	(2)
Stationary ``Carrier-symmetric'' Bandpass Problems	74	(3)
Error Probability for the Binary Symmetric Bandpass Problem	77	(2)
General Binary Case: White Noise Not Necessarily Present: Singular Tests	79	(9)
Receiver Derivation	80	(2)
Performance: General Binary Case	82	(1)
Singularity	83	(5)
Summary: General Binary Problem	88	(2)
Problems	90	(9)
References	97	(2)
Special Categories of Detection Problems	99	(48)
Stationary Processes: Long Observation Time	99	(20)
Simple Binary Problem	100	(10)
General Binary Problem	110	(9)
Summary: SPLOT Problem	119	(1)
Separable Kernels	119	(12)
Separable Kernel Model	120	(2)
Time Diversity	122	(4)
Frequency Diversity	126	(4)
Summary: Separable Kernels	130	(1)
Low-Energy-Coherence (LEC) Case	131	(6)
Summary	137	(1)
Problems	137	(10)
References	145	(2)
Discussion: Detection of Gaussian Signals	147	(20)
Related Topics	147	(10)
M-ary Detection: Gaussian Signals in Noise	147	(4)
Suboptimum Receivers	151	(4)
Adaptive Receivers	155	(1)
Non-Gaussian Processes	156	(1)
Vector Gaussian Processes	157	(1)
Summary of Detection Theory	157	(2)
Problems	159	(8)
References	164	(3)
Estimation of the Parameters of a Random Process	167	(21)
Parameter Estimation Model	168	(2)
Estimator Structure	170	(7)
Derivation of the Likelihood Function	170	(5)
Maximum Likelihood and Maximum A-Posteriori Probability Equations	175	(2)
Performance Analysis	177	(7)
A Lower Bound on the Variance	177	(2)
Calculation of J(2)(A)	179	(4)
Lower Bound on the Mean-Square Error	183	(1)
Improved Performance Bounds	183	(1)
Summary	184	(1)
Problems	185	(3)
References	186	(2)
Special Categories of Estimation Problems	188	(46)
Stationary Processes: Long Observation Time	188	(21)
General Results	189	(5)
Performance of Truncated Estimates	194	(11)
Suboptimum Receivers	205	(3)
Summary	208	(1)
Finite-State Processes	209	(2)
Separable Kernels	211	(2)
Low-Energy-Coherence Case	213	(4)
Related Topics	217	(3)
Multiple-Parameter Estimation	217	(2)
Composite-Hypothesis Tests	219	(1)
Summary of Estimation Theory	220	(1)
Problems	221	(13)
References	232	(2)
The Radar-sonar Problem	234	(4)
References	237	(1)
Detection of Slowly Fluctuating Point Targets	238	(37)
Model of a Slowly Fluctuating Point Target	238	(6)
White Bandpass Noise	244	(3)
Colored Bandpass Noise	247	(4)
Colored Noise with a Finite State Representation	251	(7)
Differential-equation Representation of the Optimum Receiver and Its Performance: I	252	(1)
Differential-equation Representation of the Optimum Receiver and Its Performance: II	253	(5)
Optimal Signal Design	258	(2)
Summary and Related Issues	260	(3)
Problems	263	(12)
References	273	(2)
Parameter Estimation: Slowly Fluctuating Point Targets	275	(82)
Receiver Derivation and Signal Design	275	(19)
Performance of the Optimum Estimator	294	(14)
Local Accuracy	294	(8)
Global Accuracy (or Ambiguity)	302	(5)
Summary	307	(1)
Properties of Time-Frequency Autocorrelation Functions and Ambiguity Functions	308	(5)
Coded Pulse Sequences	313	(10)
On-off Sequences	313	(1)
Constant Power, Amplitude-modulated Waveforms	314	(9)
Other Coded Sequences	323	(1)
Resolution	323	(13)
Resolution in a Discrete Environment: Model	324	(2)
Conventional Receivers	326	(3)
Optimum Receiver: Discrete Resolution Problem	329	(6)
Summary of Resolution Results	335	(1)
Summary and Related Topics	336	(4)
Summary	336	(1)
Related Topics	337	(3)
Problems	340	(17)
References	352	(5)
Doppler-Spread Targets and Channels	357	(56)
Model for Doppler-Spread Target (or Channel)	360	(5)
Detection of Doppler-Spread Targets	365	(10)
Likelihood Ratio Test	366	(1)
Canonical Receiver Realizations	367	(3)
Performance of the Optimum Receiver	370	(2)
Classes of Processes	372	(3)
Summary	375	(1)
Communication Over Doppler-Spread Channels	375	(23)
Binary Communications Systems: Optimum Receiver and Performance	376	(2)
Performance Bounds for Optimized Binary Systems	378	(7)
Suboptimum Receivers	385	(11)
M-ary Systems	396	(1)
Summary: Communication over Doppler-spread Channels	397	(1)
Parameter Estimation: Doppler-Spread Targets	398	(3)
Summary: Doppler-Spread Targets and Channels	401	(1)
Problems	402	(11)
References	411	(2)
Range-Spread Targets and Channels	413	(31)
Model and Intuitive Discussion	415	(4)
Detection of Range-Spread Targets	419	(2)
Time-Frequency Duality	421	(16)
Basic Duality Concepts	422	(2)
Dual Targets and Channels	424	(3)
Applications	427	(10)
Summary: Range-Spread Targets	437	(1)
Problems	438	(6)
References	443	(1)
Doubly-Spread Targets and Channels	444	(114)
Model for a Doubly-Spread Target	446	(13)
Basic Model	446	(8)
Differential-Equation Model for a Doubly-Spread Target (or Channel)	454	(5)
Model Summary	459	(1)
Detection in the Presence of Reverberation or Clutter (Resolution in a Dense Environment)	459	(23)
Conventional Receiver	461	(11)
Optimum Receivers	472	(8)
Summary of the Reverberation Problem	480	(2)
Detection of Doubly-Spread Targets and Communication over Doubly-Spread Channels	482	(43)
Problem Formulation	482	(5)
Approximate Models for Doubly-Spread Targets and Doubly-Spread Channels	487	(15)
Binary Communication over Doubly-Spread Channels	502	(14)
Detection under LEC Conditions	516	(5)
Related Topics	521	(4)
Summary of Detection of Doubly-Spread Signals	525	(1)
Parameter Estimation for Doubly-Spread Targets	525	(11)
Estimation under LEC Conditions	527	(3)
Amplitude Estimation	530	(3)
Estimation of Mean Range and Doppler	533	(3)
Summary	536	(1)
Summary of Doubly-Spread Targets and Channels	536	(2)
Problems	538	(20)
References	553	(5)
Discussion	558	(7)
Summary: Signal Processing in Radar and Sonar Systems	558	(5)
Optimum Array Processing	563	(1)
Epilogue	564	(1)
References	564	(1)
Appendix: Complex Representation of Bandpass Signals, Systems, and Processes	565	(40)
A.1 Deterministic Signals	566	(6)
A.2 Bandpass Linear Systems	572	(4)
A.2.1 Time-Invariant Systems	572	(2)
A.2.2 Time-Varying Systems	574	(1)
A.2.3 State-Variable Systems	574	(2)
A.3 Bandpass Random Processes	576	(22)
A.3.1 Stationary Processes	576	(8)
A.3.2 Nonstationary Processes	584	(5)
A.3.3 Complex Finite-State Processes	589	(9)
A.4 Summary	598	(1)
A.5 Problems	598	(7)
References	603	(2)
Glossary	605	(14)
Author Index	619	(4)
Subject Index	623