Handbook of Formulas and Tables for Signal -8579-cilt-2

Alexander D. Poularikas

Table of contents :
The Handbook of Formulas and Tables for Signal Processing…….Page 1
Contents……Page 0
34.1.1 Axioms of Probability……Page 2
34.2.5 Properties……Page 3
Example……Page 4
34.3.9 Poisson Theorem……Page 5
Example……Page 6
34.4.5 Tables of Distribution Functions (see Table 34.1)……Page 7
34.4.6 Conditional Distribution……Page 17
Example……Page 27
Example 4……Page 28
34.5.9 Variance……Page 29
34.5.13 Generalized Moments……Page 30
34.5.16 Second Characteristic Function……Page 31
34.6.3 Conditional Distribution Function……Page 32
34.6.9 Jointly Normal r.v…….Page 33
Example 2……Page 34
34.8.2 Density Function……Page 35
34.8.4 Functions of Independent r.v.’s……Page 36
34.9.5 Correlation Coefficient……Page 37
Example……Page 38
34.11.1 Jointly Normal……Page 39
34.12.2 Characteristic Function with Means……Page 40
Example……Page 41
34.14.2.5 Variance of Uncorrelated r.v.’s……Page 42
34.14.3.1 Density Function……Page 43
34.14.4.3 Stochastic Convergence……Page 44
Example……Page 45
34.15.1.4……Page 46
34.15.1.11 Distribution Function……Page 47
Example……Page 48
34.17.1.2 Mean of Output……Page 49
34.17.3.5 Continuity of Stationary Process……Page 50
34.17.4.5 Variance of S……Page 51
34.17.4.8 Ergoticity of the Autocorrelation……Page 52
34.18.2.1 Power Spectrum (spectral density; see Table 34.8.)……Page 53
34.18.2.4 Relationships Between Processes (see Table 34.9)……Page 55
34.18.3.2 Mean……Page 56
34.18.3.9 Multiple Terminals Spectra (see Figures 34.4 and 34.5)……Page 57
Example……Page 58
34.18.3.14 Periodic Processes in Linear System (see 34.18.3.13)……Page 59
34.18.4.3 Bandpass Process……Page 60
Examples……Page 61
Example……Page 62
Step 3……Page 63
34.21.1.1……Page 64
34.21.2.3 Linear Systems……Page 65
34.22.3.1 Markoff Process……Page 66
References……Page 67