Preface |
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xvii | |
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1 | (22) |
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1 | (3) |
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Continuous-Time Physical Systems |
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4 | (10) |
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4 | (2) |
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Operational Amplifier Circuits |
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6 | (3) |
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9 | (1) |
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10 | (2) |
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12 | (2) |
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Samplers and Discrete-Time Physical Systems |
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14 | (8) |
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Analog-to-Digital Converter |
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14 | (2) |
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16 | (1) |
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17 | (1) |
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18 | (1) |
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Sampling in Telephone Systems |
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19 | (2) |
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21 | (1) |
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22 | (1) |
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Continuous-Time Signals and Systems |
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23 | (66) |
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Transformations of Continuous-Time Signals |
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24 | (8) |
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24 | (6) |
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Amplitude Transformations |
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30 | (2) |
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32 | (7) |
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32 | (2) |
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34 | (5) |
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Common Signals in Engineering |
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39 | (6) |
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45 | (9) |
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45 | (4) |
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49 | (5) |
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Mathematical Functions for Signals |
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54 | (5) |
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59 | (6) |
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61 | (3) |
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64 | (1) |
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Properties of Continuous-Time Systems |
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65 | (24) |
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69 | (5) |
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74 | (2) |
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76 | (2) |
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78 | (11) |
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Continuous-Time Linear Time-Invariant Systems |
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89 | (61) |
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Impulse Representation of Continuous-Time Signals |
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90 | (1) |
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Convolution for Continuous-Time LTI Systems |
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91 | (13) |
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Properties of Convolution |
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104 | (3) |
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Properties of Continuous-Time LTI Systems |
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107 | (5) |
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108 | (1) |
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108 | (1) |
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109 | (1) |
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110 | (1) |
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111 | (1) |
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Differential-Equation Models |
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112 | (7) |
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Solution of Differential Equations |
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114 | (2) |
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116 | (2) |
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Relation to Physical Systems |
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118 | (1) |
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Terms in the Natural Response |
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119 | (4) |
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120 | (3) |
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System Response for Complex-Exponential Inputs |
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123 | (6) |
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123 | (1) |
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Complex Inputs for LTI Systems |
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124 | (4) |
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128 | (1) |
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129 | (21) |
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133 | (1) |
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133 | (1) |
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133 | (2) |
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135 | (2) |
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137 | (2) |
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139 | (11) |
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150 | (47) |
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Approximating Periodic Functions |
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151 | (5) |
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152 | (1) |
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Approximating Periodic Functions |
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152 | (4) |
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156 | (5) |
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157 | (1) |
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158 | (3) |
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Fourier Series and Frequency Spectra |
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161 | (10) |
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162 | (9) |
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Properties of Fourier Series |
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171 | (3) |
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174 | (7) |
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Fourier Series Transformations |
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181 | (16) |
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Amplitude Transformations |
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182 | (2) |
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184 | (2) |
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186 | (1) |
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187 | (10) |
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197 | (77) |
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Definition of the Fourier Transform |
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197 | (9) |
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Properties of the Fourier Transform |
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206 | (22) |
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206 | (2) |
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208 | (3) |
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211 | (1) |
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212 | (1) |
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213 | (3) |
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216 | (1) |
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217 | (2) |
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219 | (5) |
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224 | (3) |
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Frequency Differentiation |
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227 | (1) |
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227 | (1) |
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Fourier Transforms of Time Functions |
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228 | (9) |
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228 | (1) |
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228 | (1) |
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229 | (1) |
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229 | (2) |
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231 | (1) |
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Fourier Transforms of Periodic Functions |
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231 | (6) |
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237 | (1) |
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Sampling Continuous-Time Signals |
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237 | (6) |
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238 | (2) |
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Shannon's Sampling Theorem |
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240 | (2) |
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242 | (1) |
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Application of the Fourier Transform |
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243 | (12) |
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Frequency Response of Linear Systems |
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243 | (9) |
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Frequency Spectra of Signals |
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252 | (3) |
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255 | (1) |
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Energy and Power Density Spectra |
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255 | (19) |
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255 | (3) |
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258 | (3) |
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Power and Energy Transmission |
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261 | (2) |
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263 | (1) |
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264 | (2) |
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266 | (8) |
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Applications of the Fourier Transform |
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274 | (61) |
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274 | (7) |
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281 | (14) |
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282 | (2) |
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284 | (6) |
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Chebyschev and Elliptic Filters |
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290 | (4) |
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294 | (1) |
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295 | (1) |
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295 | (4) |
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Reconstruction of Signals from Sample Data |
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299 | (7) |
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301 | (2) |
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Digital-to-Analog Conversion |
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303 | (3) |
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Sinusoidal Amplitude Modulation |
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306 | (11) |
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Frequency-Division Multiplexing |
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315 | (2) |
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Pulse-Amplitude Modulation |
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317 | (18) |
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Time-Division Multiplexing |
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319 | (2) |
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321 | (3) |
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324 | (1) |
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324 | (11) |
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335 | (63) |
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Definitions of Laplace Transforms |
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336 | (3) |
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339 | (5) |
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Laplace Transforms of Functions |
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344 | (4) |
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Laplace Transform Properties |
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348 | (8) |
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349 | (4) |
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353 | (2) |
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355 | (1) |
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356 | (6) |
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356 | (1) |
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357 | (1) |
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358 | (1) |
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359 | (3) |
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362 | (12) |
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362 | (1) |
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363 | (5) |
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368 | (2) |
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Transforms with Complex Poles |
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370 | (3) |
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Functions with Repeated Poles |
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373 | (1) |
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LTI Systems Characteristics |
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374 | (6) |
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374 | (1) |
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375 | (2) |
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377 | (1) |
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378 | (2) |
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Bilateral Laplace Transform |
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380 | (8) |
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382 | (2) |
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Bilateral Transform from Unilateral Tables |
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384 | (2) |
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Inverse Bilateral Laplace Transform |
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386 | (2) |
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Relationship of the Laplace Transform to the Fourier Transform |
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388 | (10) |
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389 | (1) |
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390 | (8) |
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State Variables for Continuous-Time Systems |
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398 | (45) |
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399 | (4) |
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403 | (5) |
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Solution of State Equations |
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408 | (10) |
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Laplace-Transform Solution |
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409 | (5) |
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414 | (1) |
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415 | (3) |
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Properties of the State-Transition Matrix |
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418 | (2) |
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420 | (4) |
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422 | (2) |
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Similarity Transformations |
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424 | (19) |
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424 | (6) |
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430 | (2) |
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432 | (2) |
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434 | (9) |
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Discrete-Time Signals and Systems |
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443 | (48) |
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Discrete-Time Signals and Systems |
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445 | (5) |
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Unit Step and Unit Impulse Functions |
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447 | (2) |
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449 | (1) |
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Transformations of Discrete-Time Signals |
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450 | (9) |
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451 | (5) |
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Amplitude Transformations |
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456 | (3) |
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Characteristics of Discrete-Time Signals |
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459 | (7) |
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459 | (3) |
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462 | (3) |
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465 | (1) |
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Common Discrete-Time Signals |
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466 | (6) |
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472 | (3) |
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473 | (2) |
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Properties of Discrete-Time Systems |
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475 | (16) |
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475 | (1) |
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476 | (1) |
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477 | (1) |
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477 | (1) |
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478 | (1) |
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478 | (1) |
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479 | (2) |
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481 | (2) |
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483 | (8) |
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Discrete-Time Linear Time-Invariant Systems |
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491 | (55) |
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Impulse Representation of Discrete-Time Signals |
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492 | (1) |
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Convolution for Discrete-Time Systems |
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493 | (12) |
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Properties of Convolution |
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502 | (3) |
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Properties of Discrete-Time LTI Systems |
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505 | (5) |
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506 | (1) |
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506 | (1) |
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506 | (1) |
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507 | (2) |
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509 | (1) |
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Difference-Equation Models |
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510 | (8) |
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Difference-Equation Models |
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510 | (2) |
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512 | (5) |
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517 | (1) |
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Terms in the Natural Response |
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518 | (3) |
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519 | (2) |
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521 | (6) |
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523 | (4) |
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System Response for Complex-Exponential Inputs |
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527 | (19) |
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528 | (1) |
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Complex Inputs for LTI Systems |
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528 | (5) |
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533 | (1) |
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533 | (1) |
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533 | (2) |
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535 | (1) |
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536 | (10) |
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546 | (53) |
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Definitions of z-Transforms |
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547 | (2) |
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549 | (6) |
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549 | (3) |
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552 | (3) |
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z-Transforms of Functions |
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555 | (4) |
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556 | (3) |
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559 | (5) |
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559 | (3) |
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562 | (2) |
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564 | (4) |
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564 | (2) |
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566 | (2) |
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568 | (11) |
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568 | (2) |
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570 | (3) |
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573 | (2) |
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575 | (1) |
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575 | (3) |
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578 | (1) |
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579 | (20) |
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584 | (2) |
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586 | (1) |
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Inverse Bilateral Transforms |
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586 | (3) |
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589 | (1) |
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590 | (9) |
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Fourier Transforms of Discrete-Time Signals |
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599 | (82) |
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Discrete-Time Fourier Transform |
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600 | (5) |
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602 | (3) |
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Properties of the Discrete-Time Fourier Transform |
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605 | (6) |
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605 | (1) |
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606 | (1) |
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606 | (1) |
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607 | (1) |
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608 | (1) |
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608 | (1) |
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609 | (1) |
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609 | (1) |
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610 | (1) |
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610 | (1) |
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Discrete-Time Fourier Transform of Periodic Sequences |
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611 | (6) |
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Discrete Fourier Transform |
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617 | (10) |
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Shorthand Notation for the DFT |
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620 | (1) |
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Frequency Resolution of the DFT |
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621 | (1) |
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622 | (4) |
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626 | (1) |
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627 | (8) |
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Decomposition-in-Time Fast Fourier Transform Algorithm |
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627 | (5) |
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Decomposition-in-Frequency Fast Fourier Transform |
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632 | (3) |
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635 | (1) |
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Applications of the Discrete Fourier Transform |
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635 | (32) |
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Calculation of Fourier Transforms |
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635 | (11) |
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646 | (7) |
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653 | (7) |
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660 | (6) |
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Energy Spectral Density Estimation |
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666 | (1) |
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667 | (1) |
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The Discrete Cosine Transform |
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667 | (14) |
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672 | (2) |
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674 | (7) |
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State Variables for Discrete-Time Systems |
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681 | (37) |
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682 | (4) |
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686 | (6) |
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Solution of State Equations |
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692 | (7) |
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692 | (2) |
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694 | (5) |
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Properties of the State Transition Matrix |
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699 | (2) |
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701 | (3) |
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703 | (1) |
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Similarity Transformations |
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704 | (14) |
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708 | (1) |
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709 | (1) |
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710 | (8) |
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718 | (49) |
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A. Integrals and Trigonometric Identities |
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718 | (2) |
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718 | (1) |
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719 | (1) |
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B. Leibnitz's and L'Hopital's Rules |
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720 | (2) |
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720 | (1) |
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721 | (1) |
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C. Summation Formulas for Geometric Series |
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722 | (1) |
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D. Complex Numbers and Euler's Relation |
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723 | (7) |
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Complex-Number Arithmetic |
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724 | (3) |
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727 | (1) |
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728 | (2) |
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E. Solution of Differential Equations |
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730 | (4) |
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730 | (1) |
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731 | (1) |
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732 | (1) |
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732 | (2) |
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F. Partial-Fraction Expansions |
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734 | (3) |
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737 | (7) |
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741 | (1) |
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742 | (2) |
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H. Answers to Selected Problems |
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744 | (18) |
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I. Signals and Systems References |
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762 | (5) |
Index |
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767 | |