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PROBABILITY AND INFORMATION THEORY2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载
- WITH APPLICATIONS TO RADAR 著
- 出版社： PERGAMON PRESS LTD.
- ISBN：
- 出版时间：1953
- 标注页数：128页
- 文件大小：7MB
- 文件页数：134页
- 主题词：
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图书目录
1 AN INTRODUCTION TO PROBABILITY THEORY1
1.1 The Rules of Probability1
1.2 BERNOULLI'S Theorem2
1.3 Moments and Generating Functions4
1.4 Convolution7
1.5 Events at Random in Time10
1.6 Probability Density and the Convolution Integral12
1.7 The Delta-function14
1.8 Characteristic Functions and the Normal Distribution16
1.9 The Rayleigh Distribution20
1.10 Entropy as a Measure of Spread21
2 WAVEFORM ANALYSIS AND NOISE26
2.1 The Complex Spectrum of Positive and Negative Frequencies26
2.2 The Rectangular Function and its Spectrum29
2.3 PARSEVAL's Theorem31
2.4 Sampling Analysis31
2.5 Sampling of High-frequency Waveforms34
2.6 PoIssoN's Formula35
2.7 Vector Representation of Waveforms36
2.8 Uniform Gaussian Noise37
2.9 Complex Representation of Real Waveforms40
3 INFORMATION THEORY43
3.1 HARTLEY's Measure of Information Capacity43
3.2 SHANNoN's Measure of Information Content45
3.3 Information Gain49
3.4 The Symmetrical Formulation of Information Transfer52
3.5 Average Expressions54
3.6 The Capacity of a Noisy Communication Channel56
3.7 Information-destroying Processes58
3.8 Guesswork60
4 THE STATISTICAL PROBLEM OF RECEPTION62
4.1 The Ideal Receiver62
4.2 Inverse Probability63
4.3 Reception of a Steady Voltage in Gaussian Noise65
4.4 Sufficiency and Reversibility67
4.5 Correlation Reception68
4.6 Signals with Unknown Parameters72
4.7 Observation Systems and the a priori Difficulty73
4.8 Reception of High-frequency Signals76
4.9 The Complex Formulation79
5 SIMPLE THEORY OF RADAR RECEPTION81
5.1 The Measurement of Delay81
5.2 Threshold Effects85
5.3 Continuous Observation and Filtering91
5.4 Signals of Doubtful Strength or Existence94
5.5 Detection96
5.6 Conclusion98
6 THE MATHEMATICAL ANALYSIS OF RADAR INF OR-MATION100
6.1 Introduction100
6.2 Complex Signal and Noise Functions102
6.3 Range Accuracy104
6.4 Noise Ambiguity105
6.5 Information Gain109
6.6 Discussion of the Threshold Effect112
7 THE TRANSMITTED RADAR SIGNAL115
7.1 Accuracy Resolution and Signal Ambiguity115
7.2 Ambiguity in Range and Velocity118
7.3 The Gaussian Pulse-train121
7.4 Frequency Modulation123
7.5 Conclusion125
REFERENCES125
INDEX127