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| Авторизация |
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| Peebles P.Z. — Probability, random variables, and random signal principles |
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| Предметный указатель |
Random process(es): narrowband 220
Random process(es): nondeterministic 147
Random process(es): nonstationary 147
Random process(es): orthogonal 154 161
Random process(es): periodic component in 153
Random process(es): power of 153 173 175
Random process(es): random telegraph 169
Random process(es): sample function of 143
Random process(es): second-order stationary 149
Random process(es): semirandom binary 162 296
Random process(es): stationary 147
Random process(es): statistically independent 148
Random process(es): strict-sense stationary 151
Random process(es): time correlation functions of 151—152
Random process(es): uncorrelated 156 161
Random process(es): variance of 156
Random process(es): wide-sense stationary 150 160—161
Random sequence: continious 146
Random sequence: discrete 146
Random signal 1
Random telegraph process 169
Random variable(s): auxiliary 140
Random variable(s): Cauchy 61
Random variable(s): central moments of 70 82 120—122
Random variable(s): characteristic function of 72 122
Random variable(s): coefficient of skewness 71
Random variable(s): complex 133
Random variable(s): conditions for 36
Random variable(s): continuous 37
Random variable(s): correlation coefficient 121 136
Random variable(s): correlation of 119
Random variable(s): covariance of 121 134
Random variable(s): defined 34 88 89
Random variable(s): discrete 37
Random variable(s): Erlang 85
Random variable(s): gaussian 43 81 119n. 124—128 130—133
Random variable(s): independent 100—102 133—134
Random variable(s): joint central moments of 120
Random variable(s): joint characteristic function of 122—124 138
Random variable(s): joint moments of 119 123 124
Random variable(s): lattice-type 106n.
Random variable(s): marginal characteristic functions of 123
Random variable(s): mean of 67—68 133
Random variable(s): median of 61
Random variable(s): mixed 37
Random variable(s): mode of 61
Random variable(s): moments of 69—70
Random variable(s): N-dimensional 89
Random variable(s): orthogonal 119 134
Random variable(s): Polsson 47 140
Random variable(s): Rayleigh 50 81
Random variable(s): skew 71
Random variable(s): standard deviation 70
Random variable(s): transformation of 74—80 128—130 130—133
Random variable(s): uncorrelated 119 134
Random variable(s): uniform 48 59
Random variable(s): variance of 70 133
Random variable(s): vector 88
Random variable(s): Weibull 85
Random vector 88 89
RANGE 58
Range sample space 88
Rational power spectrums 267
Rayleigh density function 50 336
Rayleigh density function, maximum value of 61
Rayleigh density function, mean of 81
Rayleigh density function, median of 61
Rayleigh density function, mode of 61
Rayleigh density function, variance of 81
Rayleigh distribution function 50 337
Rayleigh random variable 61
Rayleigh, Lord (John William Strutt) 50n.
Realizable linear system 210
Realization of a process 143
Rice density 337
rtm bandwidth 177—179 198 201
Sample function 143
Sample space 9
Sample space, combined 22
Sample space, continuous 9
Sample space, discrete 9
Sample space, joint 88
Sample space, range 88
Sampling function 326
Schwarz's inequality 259
Schwarz, Hermann Amandus 259n.
Scmirundom binary process 162 296
Second-order stationary random process 149
Series, table of 319
Set theory 2
Set(s): algebra of 7
Set(s): associative law of 7
Set(s): class of 3
Set(s): commutative law of 7
Set(s): complement of 6
Set(s): countable 3
Set(s): countably infinite 3
Set(s): defined 3
Set(s): difference of 5
| Set(s): disjoint 3
Set(s): distributive law of 7
Set(s): elements of 3
Set(s): empty 3
Set(s): equality of 5
Set(s): finite 3
Set(s): infinite 3
Set(s): intersection of 6
Set(s): mutually exclusive 3
Set(s): null 3
Set(s): product of 6
Set(s): sum of 6
Set(s): uncountable 3
Set(s): union of 6
Set(s): universal 4
Set(s): Venn diagram of 5
Skew 70
skewness 70
Smoothing filter 263
Spectrum (Fourier transform) 72 173
Spot noise figure 234—235 249 250
Stable linear system 210
Standard deviation 70
Standard noise temperature 235
Standard source 235
Stationarily see Random process
Statistical average see Expected value
Statistical independence: by pairs 19
Statistical independence: of events 18—22
Statistical independence: of experiments 25
Statistical independence: of random processes 148
Statistical independence: of random variables 100—102 134
Subexperiments 22
Subset 3
Sums of random variables: density function of 102—105
Sums of random variables: distribution function of 102—105
Sums of random variables: mean of 118
Sums of random variables: variance of 122
System noise temperature 239
Tables: of definite integrals 318
Tables: of finite series 319
Tables: of Fourier transform pairs 329
Tables: of Fourier transform pairs of gaussian distribution function 314
Tables: of indefinite integrals 316—318
Tables: of trigonometric identities 315—316
Telegraph process 169
Thermal noise 187
Thevenin, Leon 227n.
Threshold 284 302 303
Time autocorrelation function 151
Time average 151
Time cross-correlation function 152
Time-domain analysis 172
Time-invariant system 207
Total probability 15
Transfer function: linear 77 130—133
Transfer function: monotonic 75—77
Transfer function: nonmonotonic 77—80
Transfer function: of phase-locked loop 290—292
Transfer function: of system 208 215
Transfer function: open-loop 285
Transfer function: square-law 78—79
Transformation of random variable(s) 74—80 128—130
Transition probability 18
Trial 8
Trigonometric identities, table of 115 116
Two-dimensional product space 88
Uncorrelated random processes 156 161
Uncorrelated random variables 119 134
Uncountable set 3
Uniform density function 48 139 337
Uniform density function, mean of 80 337
Uniform density function, variance of 80 337
Union of sets 6
Unit-impulse function see Impulse function
Unit-step function: defined 38 311 312
Unit-step function: related to impulse function 311 312
Unit-step function: two-dimensional 311—312
Universal set 4
Variance: estimate of 167
Variance: of random process 156
Variance: of random variable 70 133
Variance: of sum of random variables 122
Vector random variable 88
Venn diagram 5
Venn, John 5n.
Voltage density spectrum 173
Weibull density 85 338
Weibull, Enst H.W. 85n.
While noise: autocorrelation function of 187
While noise: band-limited 188
While noise: defined 187
While noise: in system evaluation 214—215
While noise: power spectrum of 187
Wide-sense stationary random process 150 160—161
Wiener filter 262—266 288 307
Wiener filter transfer function of 265
Wiener filter, minimum mean-squared error of 266
Wiener — Khinchin relations 180
Wiener, Norbert 180 262n.
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