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1 Brief History of Digital Sonar Development |
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1 | (18) |
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1.1 Evolution of Digital Sonar Systems |
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1 | (4) |
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1.2 Main Features of Digital Sonar |
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5 | (5) |
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1.3 Today and Tomorrow of Digital Sonar |
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10 | (9) |
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15 | (4) |
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2 Basic Theory of Digital Signal Processing |
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19 | (62) |
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2.1 Digital Conversion of Analogue Signal: Quantization and Sampling |
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19 | (13) |
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21 | (5) |
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2.1.2 Signal Quantization |
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26 | (2) |
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28 | (2) |
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30 | (2) |
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2.2 Digital Filtering of Signal |
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32 | (9) |
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2.2.1 Linear Digital Filtering |
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32 | (2) |
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2.2.2 Transfer Function of a Linear System |
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34 | (2) |
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2.2.3 Classification of Digital Filters |
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36 | (3) |
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2.2.4 Cascade of Digital Filters |
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39 | (1) |
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2.2.5 Examples of Digital Filters |
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40 | (1) |
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2.3 Characteristics of Digital Signals in Time Domain and Frequency Domain |
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41 | (10) |
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2.3.1 Fourier Transform of Signal |
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41 | (2) |
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2.3.2 Wiener-Khinchine Theorem |
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43 | (1) |
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2.3.3 Discrete Fourier Transform |
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43 | (2) |
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2.3.4 Digital Feature of Signal Represented by Discrete Samples |
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45 | (2) |
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2.3.5 Algorithm of Fast Fourier Transform |
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47 | (3) |
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2.3.6 Calculation of DFT for Real Value Data |
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50 | (1) |
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2.4 Basic Processing Technique for One-Dimensional Digital Signal |
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51 | (7) |
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2.4.1 Local Average Filtering |
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51 | (3) |
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2.4.2 Median Value Filtering |
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54 | (2) |
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2.4.3 Threshold Filtering and Truncate Filtering |
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56 | (2) |
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2.5 Two-Dimensional Digital Image Signal Processing |
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58 | (9) |
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2.5.1 Definition of Digital Images |
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58 | (1) |
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2.5.2 2D Fourier Transform |
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59 | (1) |
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2.5.3 2D Cosine Discrere Transforms |
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60 | (2) |
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2.5.4 Typical Image Processing Techniques |
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62 | (3) |
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2.5.5 Time / Bearing Display in Digital Sonar |
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65 | (2) |
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2.6 New Topics of Digital Signal Processing: Wavelet Transform and Fractal Transform |
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67 | (14) |
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67 | (5) |
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72 | (5) |
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77 | (4) |
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3 Detection and Estimation Theory of Digital Signals |
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81 | (70) |
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3.1 Some Basic Results from Probability Theory and Mathematical Statistics |
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81 | (15) |
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3.1.1 Basic Definition of Probability |
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82 | (3) |
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3.1.2 Conditional Probability |
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85 | (1) |
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3.1.3 Random Variable and Distribution Function |
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86 | (3) |
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3.1.4 Digital Characteristics of Random Variables |
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89 | (3) |
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3.1.5 Large Number Law and Central Limit Theorem |
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92 | (2) |
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3.1.6 Random Process (Stochastic Process) |
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94 | (2) |
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3.2 Introduction to the Basic Concepts of Information Theory |
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96 | (10) |
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3.2.1 Information and Entropy |
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97 | (6) |
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3.2.2 The Coding Theorem of a Discrete Information Source |
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103 | (3) |
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3.3 The Optimum Receiving Theory of Weak Signal in Background Noise |
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106 | (10) |
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3.3.1 Basic Concepts of Statistical Hypothesis Tests |
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106 | (2) |
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3.3.2 Optimum Detection Criterion |
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108 | (1) |
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109 | (4) |
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3.3.4 Multiple Observations |
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113 | (2) |
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3.3.5 Wald Sequential Test |
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115 | (1) |
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3.4 Wiener Filtering, Matched Filtering and Adaptive Filtering for Stationary Random Signal |
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116 | (16) |
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3.4.1 Basic Relation of Input / Output of a Linear System for Stationary Random Signal |
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116 | (3) |
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119 | (3) |
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122 | (4) |
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126 | (6) |
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3.5 Kalman Filtering for Non-stationary Digital Signal |
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132 | (6) |
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3.5.1 Kalman Filtering of a One-Dimensional Observation Model |
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133 | (3) |
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3.5.2 Kalman Filtering of Multiple Channels |
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136 | (2) |
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3.6 Parameter Estimation of Random Signal |
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138 | (13) |
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3.6.1 Test of Stationariness and Ergodicness of a Random Signal |
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138 | (1) |
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3.6.2 Basic Requirements for a Statistic |
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139 | (1) |
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3.6.3 Some Estimates Used Frequently in Sonar Design |
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140 | (2) |
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3.6.4 Cramer-Rao Low Bound |
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142 | (2) |
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3.6.5 Example (Mean Value Estimate) |
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144 | (1) |
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3.6.6 Model-Free Estimates |
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145 | (2) |
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147 | (4) |
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4 General Principles of Sonar Design |
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151 | (134) |
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4.1 Determination of Sonar System Specifications |
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151 | (17) |
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152 | (2) |
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4.1.2 Relationship between Tactical and Technical Specifications |
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154 | (5) |
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4.1.3 Technical Specification Related Concepts in Sonar Design |
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159 | (7) |
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4.1.4 Basic Concepts of Sonar Specifications |
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166 | (2) |
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4.2 Design Procedure of Digital Sonar: the Sonar Equation |
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168 | (7) |
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4.2.1 Parameters of the Sonar Equation |
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168 | (1) |
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4.2.2 Active Sonar Equation |
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169 | (2) |
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4.2.3 Passive Sonar Qquation |
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171 | (1) |
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4.2.4 Calculation of the Sonar Ranging Distance |
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172 | (3) |
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175 | (8) |
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4.3.1 Main Source of Ambient Noise in the Ocean |
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175 | (1) |
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4.3.2 Frequency spectrum of ambient noise |
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176 | (1) |
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4.3.3 Minimum Ambient Noise |
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177 | (1) |
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4.3.4 Homogeneous and Isotropic Noise Fields |
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178 | (3) |
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4.3.5 Cylindrical and Spherical Model of Ambient Noise |
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181 | (1) |
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4.3.6 Vertical Directivity of Ambient Noise |
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182 | (1) |
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4.4 Radiated Noise from Underwater Target and Platform Noise |
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183 | (10) |
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4.4.1 Sources of Radiated Noise |
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183 | (2) |
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4.4.2 Radiated Noise from Submarines |
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185 | (2) |
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4.4.3 Radiated Noise of Surface Ships |
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187 | (1) |
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4.4.4 Radiated Noise of Torpedo |
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188 | (1) |
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4.4.5 Self-noise of Vessels |
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188 | (3) |
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4.4.6 Auto-correlation Function of Target Noise |
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191 | (2) |
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193 | (9) |
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4.5.1 Sources of Reverberation |
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193 | (1) |
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4.5.2 Short Distance Reverberation Theory |
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193 | (2) |
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4.5.3 Volume and Boundary Reverberation Levels |
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195 | (2) |
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4.5.4 Relationship between Reverberation Strength and Impulse Duration |
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197 | (1) |
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4.5.5 Statistical Characteristics of Reverberations |
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198 | (4) |
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4.6 Sound Propagation in the Ocean and Underwater Acoustic Channel |
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202 | (24) |
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4.6.1 Sound Wave and Vibration |
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202 | (1) |
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4.6.2 Velocity of Sound in the Sea: Sound Speed Profile |
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203 | (4) |
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4.6.3 Wave and Ray Theories of Underwater Sound Fields |
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207 | (5) |
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212 | (1) |
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4.6.5 Sound Absorption in Sea Water |
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213 | (1) |
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4.6.6 Upper Boundary of Acoustic Channel: the Sea Surface and Its Acoustic Characteristics |
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214 | (1) |
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4.6.7 Lower Boundary of Acoustic Channel: the Sea Floor and Its Characteristics |
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214 | (2) |
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4.6.8 Use of Propagation Characteristics in Sonar Design |
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216 | (3) |
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4.6.9 Average Structure of a Sound Field in Shallow Water |
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219 | (2) |
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4.6.10 Use of Transmission Loss in Sonar Ranging Distance Prediction |
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221 | (5) |
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4.7 Hydrophone Array and Beamforming |
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226 | (33) |
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4.7.1 Directivity Function (Beam Pattern) |
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226 | (4) |
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4.7.2 Conventional Beamforming |
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230 | (2) |
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4.7.3 Equal-Spaced Line Array |
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232 | (6) |
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4.7.4 Uniformly Distributed Discrete Circle Array |
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238 | (4) |
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4.7.5 Circle Array Baffling and Arc Array |
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242 | (2) |
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4.7.6 Product Theorem of Directivity Function of a Line Array |
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244 | (3) |
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4.7.7 Weighting of an Array |
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247 | (6) |
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4.7.8 General Expression of Directivity Function |
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253 | (5) |
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4.7.9 Continuous Distributed Array |
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258 | (1) |
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4.8 Calculation of Sonar System Gain |
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259 | (11) |
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4.8.1 Spatial Gain of Sonar System |
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260 | (1) |
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4.8.2 Calculation of Time Processing Gain of Passive Sonar |
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261 | (6) |
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4.8.3 Calculation of Time Processing Gain of Active Sonar |
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267 | (3) |
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4.9 Gain Loss of a Sonar System in the Interface of Various Sub-systems |
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270 | (3) |
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4.9.1 Relationship between Sonar System Gain and Input signal-to-noise Ratio |
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270 | (1) |
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4.9.2 Gain Loss at the Interface of a Hydrophone and an A / D Converter |
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271 | (1) |
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4.9.3 Interface Loss Due to Time Integration |
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272 | (1) |
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4.9.4 Loss at the Interface of the Signal Processor and the Display System |
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273 | (1) |
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4.10 Explosive Source of Underwater Sound |
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273 | (12) |
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4.10.1 Main Characteristics of Explosive Sources of Underwater Sound |
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274 | (3) |
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4.10.2 Measurement of Transmission Loss by Using Explosive Source |
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277 | (1) |
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278 | (7) |
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5 Design of Digital Sonar |
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285 | (94) |
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5.1 System Architecture of Digital Sonar |
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285 | (7) |
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5.1.1 Parallel Operation and Sequential Operation |
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286 | (1) |
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5.1.2 Differences in Beamforming in Time Domain and Frequency Domain |
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287 | (4) |
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5.1.3 Data Interchange among Sub-systems |
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291 | (1) |
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5.1.4 Real Time Data Display of the Sonar System |
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291 | (1) |
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292 | (1) |
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5.2 Parameter Selection of Programmable Digital Sonar |
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292 | (6) |
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5.3 Pre-processing and FIR filtering |
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298 | (9) |
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5.3.1 Anti-aliazing Filtering |
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299 | (1) |
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300 | (1) |
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5.3.3 AGC and A / D Converter |
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301 | (2) |
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303 | (4) |
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5.4 High Precision RAM Dynamic Beamforming and Optimum Spatial Filtering |
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307 | (10) |
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5.4.1 Digital Beamforming Using SRAM |
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307 | (4) |
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5.4.2 Optimum Spatial Filter |
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311 | (6) |
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5.5 Target Characteristic Analysis: LOFAR, DEMON and Adaptive Line Enhancer |
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317 | (15) |
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5.5.1 LOFAR and DEMON Analysis |
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318 | (6) |
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5.5.2 Adaptive Line Enhancing |
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324 | (4) |
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5.5.3 Combined Architecture of ANC and ALE |
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328 | (4) |
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5.6 Post Processing of Multibeam Data and Wild Value Filtering |
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332 | (8) |
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5.6.1 Square Detection and Absolute Value Detection |
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332 | (2) |
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5.6.2 A Method of Stationarity for Non-stationary Data |
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334 | (2) |
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5.6.3 Basic Technique of Wild Value Filtering |
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336 | (3) |
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5.6.4 Wild Value Filtering for Two-Dimensional Time / Bearing Data |
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339 | (1) |
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5.7 Display and Control: High Resolution Gray Scale Display and Background Equalization |
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340 | (9) |
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5.7.1 Main Function of the Display / Control System |
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341 | (1) |
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5.7.2 Applications of Human / Machine Interface Theory |
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342 | (1) |
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5.7.3 Use of Color in Sonar Display |
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343 | (1) |
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5.7.4 Gray Scale Conversion |
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344 | (3) |
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5.7.5 Background Equalization |
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347 | (2) |
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5.8 Reliability Design of Digital Sonar |
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349 | (12) |
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5.8.1 The Series Standard for Reliability |
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350 | (1) |
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5.8.2 Brief Introduction to Reliability Engineering |
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350 | (1) |
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5.8.3 Hardware Reliability |
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351 | (7) |
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5.8.4 Software Reliability |
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358 | (1) |
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5.8.5 Technical Means of Hardware Reliability Design |
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358 | (2) |
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360 | (1) |
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5.9 Integrated Design of Digital Sonar: Multi-sensor, Multi-layer Data Fusion |
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361 | (18) |
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5.9.1 Basic Concept of Data Fusion |
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361 | (2) |
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5.9.2 Optimum Linear Data Fusion |
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363 | (6) |
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5.9.3 Relationship of Weight Coefficients with SNR |
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369 | (1) |
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5.9.4 Joint Detection and Estimation Problems |
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369 | (5) |
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374 | (5) |
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6 Implementation Methods of Various Functions of Digital Sonar |
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379 | (100) |
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6.1 Precise Bearing for Target |
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379 | (19) |
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6.1.1 Concept of the Bearing Accuracy of Sonar |
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380 | (3) |
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6.1.2 Optimum Precise Bearing of Line Array and Circle Array |
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383 | (3) |
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6.1.3 Implementation of Precise Bearing |
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386 | (5) |
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6.1.4 Example of Realization of Precise Bearing Function in Digital Sonar |
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391 | (4) |
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6.1.5 Method for Improving Bearing Accuracy |
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395 | (3) |
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6.2 Automatic Tracking and Multi-target Resolution |
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398 | (15) |
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6.2.1 Tracking Algorithm of Passive Sonar |
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398 | (6) |
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6.2.2 Multi-target Resolution |
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404 | (1) |
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6.2.3 Results of System Simulation |
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405 | (4) |
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6.2.4 Method for Increasing the Resolution Ability of Multiple Targets |
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409 | (4) |
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6.3 Moving Target Analysis: Pre-set Tracking |
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413 | (7) |
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414 | (1) |
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6.3.2 Pre-setting Tracking |
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415 | (3) |
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418 | (2) |
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6.4 Fast Moving Target Tracking: Torpedo Alarming |
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420 | (7) |
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6.4.1 Possibility of Torpedo Alarming |
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421 | (1) |
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6.4.2 Double Check Decision Strategy in Torpedo Alarming |
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422 | (2) |
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6.4.3 Target Traces Extraction Technique |
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424 | (2) |
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6.4.4 Example of System Simulation |
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426 | (1) |
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6.5 Passive Ranging of Target Based on the Time Delay Estimation |
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427 | (9) |
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6.5.1 Principle of Three-Point Ranging |
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427 | (3) |
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6.5.2 Four-Point Passive Ranging |
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430 | (1) |
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6.5.3 Analysis of Passive Ranging Accuracy |
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431 | (4) |
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6.5.4 Realization of Passive Ranging |
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435 | (1) |
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6.6 Target Classification and Recognition |
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436 | (10) |
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6.6.1 Basic Requirement of Target Noise Classification |
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437 | (1) |
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6.6.2 Concept of Artificial Neural Network |
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438 | (2) |
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6.6.3 Simplified Expert System |
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440 | (1) |
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6.6.4 An Example of an Expert System Based on Nearest Neighborhood Criteria |
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441 | (5) |
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6.7 Active Sonar Signal Capture and Analysis |
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446 | (9) |
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6.7.1 Theoretical Basis of Active Sonar Signal Capture |
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447 | (1) |
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6.7.2 A Combined Time / Frequency Domain Signal Capture Technique |
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448 | (5) |
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6.7.3 Signal Feature Extraction of Active Sonar Signal |
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453 | (2) |
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6.8 Underwater Acoustic Communication and Adaptive Equalization of Underwater Acoustic Channel |
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455 | (11) |
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6.8.1 Introduction of Underwater Acoustic Communication |
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456 | (2) |
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6.8.2 Coding and Decoding |
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458 | (3) |
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6.8.3 Frequency Spread Technique |
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461 | (2) |
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6.8.4 Equalization of Underwater Acoustic Channel |
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463 | (3) |
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6.9 Introduction of Multistatic Sonar |
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466 | (13) |
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6.9.1 General Description of Multistatic Sonar Problem |
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467 | (1) |
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6.9.2 Basic Formula for Calculating Detection Range in Multistatic Sonar |
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468 | (2) |
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6.9.3 Realization of Bistatic Sonar Function by Using Monostatic Sonar |
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470 | (1) |
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471 | (8) |
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7 System Simulation Techniques in Digital Sonar Design |
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479 | (38) |
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7.1 General Concept of System Simulation |
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479 | (3) |
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7.1.1 Brief Introduction of System Simulation Technique |
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480 | (1) |
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7.1.2 Development of Modern System Simulation Technique |
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481 | (1) |
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7.2 Theoretical Basis of System Simulation: Monte Carlo Method |
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482 | (11) |
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7.2.1 Method for Generating a Random Number |
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482 | (3) |
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7.2.2 Basic Time Series in Digital System Simulation |
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485 | (8) |
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7.3 Frequent Use Simulation Method in Underwater Acoustic Signal Processing |
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493 | (10) |
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7.3.1 Simulation of the Sonar Environment Field |
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493 | (4) |
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7.3.2 Simulation of Signal Processing Module in a Sonar System |
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497 | (5) |
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7.3.3 Simulation of Post Processing |
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502 | (1) |
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7.3.4 Specific Software for System Simulation |
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503 | (1) |
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7.4 Design of Sonar Signal Simulator |
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503 | (14) |
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7.4.1 General Concept of Sonar Simulator |
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504 | (1) |
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7.4.2 Design Principle of General Purpose Sonar Simulator |
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505 | (2) |
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7.4.3 Algorithm for Generating Infinite Non-cyclic Random Number |
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507 | (2) |
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7.4.4 Generating of Array Signals |
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509 | (3) |
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7.4.5 An Application Example of Sonar Simulator Design |
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512 | (2) |
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514 | (3) |
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8 Introduction of Typical Modern Digital Sonar |
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517 | (76) |
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8.1 Concept of Model-based Sonar |
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517 | (5) |
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8.1.1 Basic Concept of Model-Based Sonar |
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518 | (2) |
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8.1.2 Robust Signal Processing |
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520 | (1) |
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8.1.3 Signal Processing System of Model-Based Sonar |
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521 | (1) |
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8.2 Linear Towed Array Sonar |
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522 | (21) |
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8.2.1 Brief History of Linear Towed Array Sonar |
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524 | (1) |
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8.2.2 General Concept of Towed Array Sonar |
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525 | (2) |
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8.2.3 Status of a Tow Cable under the Sea |
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527 | (3) |
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8.2.4 Shape Distortion of Towed Array and Its Effect on Beamforming |
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530 | (3) |
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8.2.5 Some Special Problems with Towed Array Sonar Design |
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533 | (9) |
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8.2.6 Examples of Towed Array Sonar |
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542 | (1) |
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8.3 Flank Array Sonar for Submarine |
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543 | (9) |
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8.3.1 General Concept of Flank Array Sonar |
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543 | (1) |
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8.3.2 Adaptive Canceling of Self Noise |
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544 | (4) |
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8.3.3 Vibration Isolation of Hydrophone and Acoustic Damping Materials |
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548 | (1) |
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8.3.4 Beamforming of Multiple Elements with Different SNR |
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549 | (1) |
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8.3.5 System Configuration of Flank Array Sonar |
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550 | (1) |
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8.3.6 Example of Typical Flank Array Sonar |
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551 | (1) |
|
|
|
552 | (7) |
|
8.4.1 Brief History of Shore-Based Sonar System |
|
|
553 | (1) |
|
8.4.2 Outline of Shore-Based Sonar Station |
|
|
553 | (2) |
|
8.4.3 Some Specific Topics Concerning a Shore-Based Sonar Station |
|
|
555 | (4) |
|
8.4.4 Example of Typical Fixed Array Sonar |
|
|
559 | (1) |
|
8.5 Synthetic Aperture Sonar |
|
|
559 | (14) |
|
8.5.1 Brief History of SAS |
|
|
560 | (1) |
|
8.5.2 Basic Principle of SAS |
|
|
561 | (5) |
|
8.5.3 Calculation of Directivity Function of Passive SAS |
|
|
566 | (2) |
|
8.5.4 Basic Algorithm of Active SAS |
|
|
568 | (1) |
|
8.5.5 An Experimental SAS Prototype |
|
|
569 | (4) |
|
8.6 Concept of Network Centric Warfare and Its Application in Sonar |
|
|
573 | (7) |
|
8.6.1 Basic Concept of NCW |
|
|
573 | (2) |
|
8.6.2 Theory of Complexity System |
|
|
575 | (1) |
|
8.6.3 US Navy Research Project in NCW |
|
|
576 | (2) |
|
8.6.4 Applications of the NCW Concept in Underwater Acoustics |
|
|
578 | (2) |
|
8.7 A New Topic in Sonar Design: Diver Detection Sonar |
|
|
580 | (13) |
|
8.7.1 Basic Design Principle of DDS |
|
|
580 | (1) |
|
8.7.2 Design Outline of DDS |
|
|
581 | (2) |
|
|
|
583 | (10) |
|
9 Software and Hardware Support and Performance Evaluation in Digital Sonar Design |
|
|
593 | (42) |
|
9.1 Software Package Matlab in Digital Signal Processing |
|
|
594 | (5) |
|
9.1.1 Several Frequently Used Commands in Signal Processing |
|
|
594 | (1) |
|
|
|
595 | (2) |
|
9.1.3 Other Features of Matlab |
|
|
597 | (2) |
|
9.2 Programming Skills for C Language |
|
|
599 | (3) |
|
9.3 General Purpose DSP chips |
|
|
602 | (3) |
|
9.3.1 Concept of the General Purpose DSP Chip |
|
|
602 | (1) |
|
9.3.2 Main Specifications of DSP Chips |
|
|
603 | (1) |
|
9.3.3 Development Tools for DSP Chips |
|
|
604 | (1) |
|
|
|
604 | (1) |
|
9.4 Hardware Adjustment of Digital sonar |
|
|
605 | (7) |
|
9.4.1 Evaluation Procedure of Digital Sonar |
|
|
605 | (2) |
|
9.4.2 Step by Step Testing in a Laboratory of a Digital Sonar System |
|
|
607 | (4) |
|
9.4.3 Wet End Testing of the Sonar System in a Laboratory |
|
|
611 | (1) |
|
9.4.4 Limited Function Associate Testing of the Dry End and Wet End |
|
|
612 | (1) |
|
9.5 Tactical and Technical Performance Evaluation of Digital Sonar: Comparison of Results of Laboratory Testing, Lake Testing and Experiment at Sea |
|
|
612 | (23) |
|
9.5.1 From Sonar Design to Experiments at Sea |
|
|
613 | (1) |
|
9.5.2 Measurement of Source Level and Sound Pressure Index |
|
|
614 | (4) |
|
9.5.3 Measurement of Target Strength and Underwater Signal Channel |
|
|
618 | (3) |
|
9.5.4 Calibration of Sonar Specification in Terms of the Result of Experiments at Sea |
|
|
621 | (3) |
|
9.5.5 Statistical Average Problem in Experiment at Sea |
|
|
624 | (3) |
|
9.5.6 Central Moment and Original Moment |
|
|
627 | (3) |
|
9.5.7 Sea State Description and Some Results of Sonar Ranging Prediction |
|
|
630 | (2) |
|
|
|
632 | (3) |
| Index |
|
635 | |