Preface |
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xi | |
Notation |
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xiii | |
Abbreviations |
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xiv | |
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1 | (14) |
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2 | (2) |
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4 | (2) |
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1.3 Review of existing waveforms |
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6 | (9) |
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Part I Aperiodic correlation synthesis |
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15 | (132) |
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2 Single aperiodic sequence design |
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17 | (22) |
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2.1 Cyclic algorithm-new (CAN) |
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18 | (3) |
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2.2 Weighted cyclic algorithm-new (WeCAN) |
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21 | (4) |
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25 | (9) |
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2.3.1 Integrated sidelobe level (ISL) design |
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25 | (1) |
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2.3.2 Weighted integrated sidelobe level (WISL) design |
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25 | (5) |
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2.3.3 Channel estimation in communications |
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30 | (1) |
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2.3.4 Quantization effects |
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31 | (3) |
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34 | (5) |
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Appendix 2A Connections with a phase-retrieval algorithm |
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35 | (4) |
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3 Aperiodic sequence set design |
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39 | (28) |
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3.1 The Multi-CAN algorithm |
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40 | (3) |
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3.2 The Multi-WeCAN algorithm |
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43 | (3) |
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3.3 The Multi-CA-original (Multi-CAO) algorithm |
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46 | (2) |
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48 | (17) |
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48 | (5) |
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53 | (2) |
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3.4.3 Multi-WeCAN continued |
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55 | (2) |
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3.4.4 Quantization effects |
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57 | (1) |
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3.4.5 Synthetic aperture radar (SAR) imaging |
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57 | (8) |
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65 | (2) |
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Appendix 3A Proof of Equation (3.28) |
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65 | (1) |
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Appendix 3B Proof of Equation (3.47) |
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66 | (1) |
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4 Lower bounds for aperiodic sequences |
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67 | (7) |
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67 | (2) |
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4.2 Approaching the bound |
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69 | (4) |
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73 | (1) |
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5 Stopband constraint case |
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74 | (14) |
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75 | (2) |
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5.2 Weighted SCAN (WeSCAN) |
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77 | (3) |
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80 | (7) |
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80 | (2) |
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82 | (1) |
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5.3.3 Relaxed amplitude constraint |
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82 | (5) |
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5.3.4 Using a different frequency formulation |
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87 | (1) |
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87 | (1) |
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6 Ambiguity function (AF) |
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88 | (18) |
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88 | (9) |
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97 | (2) |
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6.3 Minimizing the discrete-AF sidelobes |
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99 | (2) |
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101 | (5) |
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Appendix 6A Wideband ambiguity function |
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102 | (4) |
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7 Cross ambiguity function (CAF) |
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106 | (17) |
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7.1 Discrete-CAF synthesis |
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106 | (9) |
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7.1.1 The proposed algorithm |
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107 | (2) |
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109 | (6) |
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115 | (6) |
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7.2.1 The proposed algorithm |
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116 | (2) |
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118 | (3) |
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121 | (2) |
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Appendix 7A Constant volume property of discrete-CAF |
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121 | (2) |
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8 Joint design of transmit sequence and receive filter |
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123 | (24) |
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8.1 Data model and problem formulation |
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124 | (2) |
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126 | (2) |
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8.3 A frequency-domain approach |
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128 | (6) |
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8.4 Specialization for matched filtering |
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134 | (2) |
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136 | (6) |
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137 | (3) |
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140 | (2) |
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142 | (1) |
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142 | (5) |
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Appendix 8A Proof of Equation (8.25) |
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145 | (1) |
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Appendix 8B Lagrange approach |
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146 | (1) |
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Part II Periodic correlation synthesis |
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147 | (38) |
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9 Single periodic sequence design |
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149 | (9) |
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150 | (3) |
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9.2 The periodic CAN (PeCAN) algorithm |
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153 | (1) |
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154 | (1) |
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155 | (3) |
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Appendix 9A Proof of Equation (9.9) |
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155 | (3) |
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10 Periodic sequence set design |
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158 | (10) |
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10.1 The Multi-PeCAO algorithm |
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159 | (2) |
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10.2 The Multi-PeCAN algorithm |
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161 | (2) |
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163 | (4) |
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163 | (2) |
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165 | (2) |
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167 | (1) |
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11 Lower bounds for periodic sequences |
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168 | (7) |
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168 | (3) |
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11.2 Optimal ISL sequence sets |
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171 | (2) |
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173 | (1) |
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174 | (1) |
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12 Periodic ambiguity function (PAF) |
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175 | (10) |
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176 | (1) |
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177 | (5) |
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12.3 Minimizing the discrete-PAF sidelobes |
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182 | (2) |
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184 | (1) |
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Part III Transmit beampattern synthesis |
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185 | (60) |
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13 Narrowband beampattern to covariance matrix |
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187 | (26) |
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188 | (2) |
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190 | (7) |
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13.2.1 Maximum power design for unknown target locations |
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190 | (1) |
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13.2.2 Maximum power design for known target locations |
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191 | (2) |
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13.2.3 Beampattern matching design |
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193 | (3) |
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13.2.4 Minimum sidelobe beampattern design |
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196 | (1) |
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13.2.5 Phased-array beampattern design |
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197 | (1) |
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197 | (14) |
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13.3.1 Beampattern matching design |
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198 | (7) |
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13.3.2 Minimum sidelobe beampattern design |
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205 | (6) |
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211 | (2) |
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Appendix 13A Covariance matrix rank |
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211 | (2) |
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14 Covariance matrix to waveform |
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213 | (9) |
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213 | (2) |
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14.2 Cyclic algorithm for signal synthesis |
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215 | (1) |
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216 | (3) |
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219 | (3) |
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15 Wideband transmit beampattern synthesis |
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222 | (23) |
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222 | (3) |
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15.2 The proposed design methodology |
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225 | (4) |
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15.2.1 Beampattern to spectrum |
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226 | (1) |
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15.2.2 Spectrum to waveform |
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227 | (2) |
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229 | (13) |
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15.3.1 The idealized time-delayed case |
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229 | (1) |
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230 | (3) |
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233 | (1) |
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233 | (9) |
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242 | (3) |
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Appendix 15A Narrowband transmit beampattern |
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242 | (1) |
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Appendix 15B Receive beampattern |
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243 | (2) |
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Part IV Diverse application examples |
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245 | (56) |
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16 Radar range and range-Doppler imaging |
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247 | (12) |
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247 | (2) |
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249 | (2) |
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249 | (1) |
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16.2.2 Instrumental variable (IV) receive filter |
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250 | (1) |
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16.3 Iterative adaptive approach (IAA) |
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251 | (1) |
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252 | (3) |
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16.4.1 Negligible Doppler example |
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252 | (3) |
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16.4.2 Non-negligible Doppler example |
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255 | (1) |
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255 | (4) |
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17 Ultrasound system for hyperthermia treatment of breast cancer |
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259 | (8) |
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17.1 Waveform diversity based ultrasound hyperthermia |
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260 | (2) |
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262 | (4) |
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266 | (1) |
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18 Covert underwater acoustic communications-coherent scheme |
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267 | (13) |
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268 | (1) |
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18.2 Spreading waveform synthesis |
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269 | (4) |
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273 | (6) |
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279 | (1) |
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19 Covert underwater acoustic communications-noncoherent scheme |
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280 | (21) |
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19.1 RAKE energy-based detection of orthogonal signals |
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280 | (3) |
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19.2 RAKE demodulator for DPSK signals |
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283 | (4) |
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19.3 The impact of P and R on performance and an enhanced RAKE scheme |
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287 | (3) |
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19.3.1 Impact of P and R on the BER performance |
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287 | (1) |
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19.3.2 RAKE reception based on the principal arrival |
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288 | (2) |
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290 | (10) |
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19.4.1 Binary orthogonal modulation |
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290 | (6) |
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296 | (4) |
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300 | (1) |
References |
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301 | (10) |
Index |
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311 | |