Preface |
Introduction to Random Functions / Chapter 1: |
General considerations. Steady state conditions / 1.1: |
Amplitude distribution / 1.2: |
Spectral distribution A[superscript 2](f) / 1.3: |
Generalization / 1.3.1: |
Response of a linear filter / 1.4: |
Applications of the convolution theorem / 1.5: |
Convolution theorem / 1.5.1: |
The cross-correlation function / 1.5.2: |
Autocorrelation function: Wiener's theorem / 1.5.3: |
Differentiation of [varrho]([tau]) when x(t) is real / 1.5.4: |
Examples of calculations of [varrho]([tau]) and A[superscript 2](f) / 1.6: |
Autocorrelation function associated with a rectangular spectrum / 1.6.1: |
Calculation of the autocorrelation function / 1.6.2: |
Calculation of the spectral density of [upsilon](t) / 1.6.3: |
Calculation of the autocorrelation function of w[subscript 1](t) / 1.6.4: |
Filtering with an RC circuit / 1.6.5: |
Optimization / 1.6.6: |
Sampling theorem / 1.7: |
Tendency to the normal distribution. Gaussian phenomena. Rayleigh distribution / 1.8: |
Tendency to the normal distribution / 1.8.1: |
Representations of gaussian random functions / 1.8.2: |
Exercises / 1.9: |
Signal and Noise. The Ideal Receiver / Chapter 2: |
The radar problem / 2.1: |
A priori and a posteriori probabilities / 2.2: |
A posteriori probability of the presence or absence of a signal in gaussian noise after one experiment / 2.3: |
A posteriori probability of the presence or absence of a signal in gaussian noise after several successive experiments / 2.4: |
Probability of the presence or absence of a continuous signal in continuous gaussian noise. The ideal receiver / 2.5: |
More rigorous definition of the ideal receiver / 2.6: |
Assumptions / 2.6.2: |
Properties of S(t), n(t) and S(t - t[subscript 0]) / 2.6.3: |
Search for a basis of orthonormal vectors over E(t[subscript 0]) / 2.6.4: |
Definition of an ideal receiver / 2.6.5: |
White noise / 2.6.6: |
Colored noise (approximate proof) / 2.6.7: |
Performance of Radar Systems Equipped with Ideal Receivers / Chapter 3: |
Two procedures for making an ideal receiver / 3.1: |
The output signal of the ideal receiver / 3.2: |
Properties of the useful signal / 3.2.1: |
Properties of the parasitic signal / 3.2.2: |
Conclusions / 3.2.3: |
Probability of false alarm and detection. Range ambiguity / 3.3: |
Probability of false alarm / 3.3.1: |
Detection probability / 3.3.2: |
Range ambiguity / 3.3.3: |
Revision of the results when the useful signal is a microwave signal / 3.4: |
Accuracy of range measurement / 3.5: |
Range resolution / 3.6: |
General considerations / 3.6.1: |
First general rule / 3.6.2: |
Analysis of the problem / 3.6.3: |
Approximate formula / 3.6.4: |
Accuracy of the measurement of radial speed / 3.7: |
(Radial) velocity ambiguity / 3.8: |
Resolving power in terms of (radial) velocity / 3.9: |
General rule / 3.9.1: |
Range-velocity ambiguity / 3.9.2: |
Non-frequency-modulated square-wave pulse with duration T / 3.10.1: |
Non-frequency-modulated gaussian signal / 3.10.3: |
Gaussian signal with linear frequency modulation / 3.10.4: |
Square-wave pulse trains / 3.10.5: |
Square-wave pulse with linear frequency modulation / 3.10.6: |
Range-velocity resolution / 3.11: |
Square-wave pulse which is not frequency modulated / 3.11.1: |
Random signal / 3.11.4: |
Application of ambiguity to combat parasitic echoes / 3.12: |
Choice of signal to be transmitted / 3.13: |
Choice of receiver / 3.13.2: |
Analysis of the Operating Principles of some Types of Radar / Chapter 4: |
Noise radar / 4.1: |
Target with a known velocity / 4.1.1: |
Target with unknown velocity / 4.1.2: |
Pulse Doppler radar / 4.2: |
New algorithm for a radar receiver / 4.3: |
Classical pulse radar / 4.4: |
Classical concept / 4.4.1: |
A new concept / 4.4.2: |
Pulse compression radar / 4.5: |
Introduction / 4.5.1: |
Pulse compression procedures / 4.5.2: |
General properties of pulse compression / 4.5.3: |
Calculation of faults due to compression imperfection. Paired-echo method / 4.5.4: |
Practical implementation of dispersive filters / 4.5.5: |
Constant false alarm reception (CFAR) / 4.6: |
Principles of constant false alarm receivers / 4.6.1: |
Output levels of the useful signal and noise / 4.6.2: |
Examples of applications / 4.6.3: |
Elimination of clutter / 4.7: |
Restriction of the level of parasitic signals entering the radar system / 4.7.1: |
The main systems using Doppler filtering / 4.7.3: |
Performance of a delay line moving target indicator / 4.7.4: |
Behavior of Real Targets. Fluctuation of Targets / Chapter 5: |
Radar cross-section of a planar plate / 5.1: |
Radar cross-section of a metal sphere / 5.3: |
Field reradiated by a hypothetical isotropic target / 5.4: |
Target consisting of two identical point targets / 5.5: |
Target consisting of two different point targets / 5.6: |
Fluctuations in the Rayleigh distribution / 5.7: |
Frequency diversity. Random radars / 5.8: |
Random radars / 5.8.1: |
Angle Measurement Using Radar / 5.9: |
General comments / 6.1: |
Two-dimensional search radar / 6.2: |
Continuous-wave operation for cooperating targets / 6.2.1: |
Pulse operation on a cooperating target / 6.2.2: |
Operation on a noncooperating target / 6.2.3: |
General principle of monopulse radars / 6.3: |
Angular fluctuation of targets / 6.4: |
Errors in angular measurement using radar / 6.4.1: |
Description of monopulse radars / 6.5: |
Amplitude monopulse and phase monopulse radars / 6.5.1: |
Use of radio freqeuncy signals in monopulse radars / 6.5.2: |
Effect of receiver noise on the accuracy of angular measurements made using a monopulse radar / 6.5.3: |
Relationship between the monopulse procedures / 6.5.4: |
Conical scanning radar / 6.6: |
Effect of target fluctuation on the accuracy of radar measurements / 6.7: |
General case / 6.7.1: |
Accuracy of a radar system performing several consecutive measurements / 6.7.3: |
Fluctuation of the radiant point. Angular target signature / 6.8: |
Data Processing of Radar Information. Radar Coverage / Chapter 7: |
Coherent integration / 7.1: |
Integration after detection / 7.2: |
Integration in a search radar / 7.3: |
Integration after square-law detection / 7.3.1: |
Use of digital extractors / 7.4: |
Some variations on the radar equation / 7.5: |
Tracking radar / 7.5.1: |
Two-dimensional surveillance radar / 7.5.2: |
Three-dimensional surveillance radar / 7.5.3: |
Applications to Electronic Scanning Antennas to Radar / Chapter 8: |
Basic principles of electronic scanning. Simplifications / 8.1: |
First simplification / 8.2.1: |
Second simplification / 8.2.2: |
Third simplification / 8.2.3: |
Fourth simplification / 8.2.4: |
General description of an electronic scanning antenna / 8.3: |
Radiating elements / 8.3.1: |
Phase shifters / 8.3.2: |
Feed systems / 8.3.3: |
Types of patterns for electronic scanning radars / 8.4: |
Centered pencil beam / 8.4.1: |
Offset beam / 8.4.2: |
Broadened beam / 8.4.3: |
Monopulse difference beam / 8.4.4: |
Antijamming antenna / 8.4.5: |
Final remarks / 8.5: |
Introduction to Hilbert spaces / Appendices: |
Definition of an abelian group / A.1: |
Definition of a ring / A.2: |
Definition of a field / A.3: |
Definition of a vector space / A.4: |
Hilbert spaces / A.5: |
Table of the function [Theta](x) / Appendix B: |
References |
Bibliography |
Index |
Preface |
Introduction to Random Functions / Chapter 1: |
General considerations. Steady state conditions / 1.1: |