| Signal | | | |
| (1) | | Time |
| (2) | | Record |
| (3) | | Number of Samples |
| (4) | | Samples |
| (5) | | Mean Value at time t |
| (6) | | Mean Square Value at time t |
| (7) | | Autocorrelation at time t |
| (8) | | Time length of a record |
| (9) | | Mean Value |
| (10) | | Mean Square Value |
| (11) | | Autocorrelation |
| Fourier Series and Transformations | | | |
| (12) | | Periodic Record |
| (13) | | Fundamental Frequency |
| (14) | | Angular Frequency |
| (15) | | Fourier Serie |
| (16) | | Angular Frequencies of the Serie |
| (17) | | a Coefficients of the Serie |
| (18) | | b Coefficients of the Serie |
| (19) | | a0 Coefficient of the Serie |
| (20) | | Amplitude of the Function |
| (21) | | Phase of the Function |
| (22) | | Fourier Transformation |
| (23) | | Inverse Fourier Transformation |
| Simple Examples | | | |
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| (22) | | Superposition or convolution Integral |
| (23) | | Causality restriction |
| (24) | | Fourier transformation of the Responce Function |
| (25) | | Real and Imaginary Part of the Responce Function |
| (26) | | Exponential Representation of the Responce Function |
| (27) | | Amplitude of the Responce Function |
| (28) | | Phase of the Responce Function |
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| (29) | | Equation of Motion |
| (30) | | Damping Ratio |
| (31) | | Natural Angular Frecuency |
| (32) | | Amplitude of the Response Function |
| (33) | | Phase of the Response Function |
| Probability | | | |
| (34) | | Number of Outcomes A |
| (35) | | Probability of Outcome A |
| (36) | | Outcome A for a Record x |
| (37) | | Probability of Outcome A in function of x |
| (38) | | Probability density |
| (39) | | Probability density of a value x in a Record |
| (40) | | Expected value of a functon g |
| (41) | | Additive property of expectations |
| (42) | | Homogeneous property of expectations |
| (43) | | Moment of the function x |
| (44) | | Second Central Moment |
| (45) | | Normal (Gaussian) Probability Density Function |
| (46) | | Standardized Variable |
| (47) | | Standardized Normal (Gaussian) Probability Density Function |
| (48) | | Normal (Gaussian) Probability Distribution |
| (49) | | Sine Wave Probability Density Function |
| (50) | | Sine Wave with Gaussian Noise |
| (51) | | Standard Deviation of the Gaussian Noise n |
| (52) | | Sine Wave in Gaussian Noise Probability Density |
| Statistical Sampling Errors | | | |
| (53) | | Mean Value Estimate, Ensamble Average |
| (54) | | Mean Value Error, Ensamble Average |
| (55) | | Mean Square Value Estimate, Ensamble Average |
| (56) | | Mean Square Value Error, Ensamble Average |
| (57) | | Mean Value Estimate, Time Average |
| (58) | | Bandwidth |
| (59) | | Mean Value Error, Time Average |
| (60) | | Mean Square Value Estimate, Time Average |
| (61) | | Mean Square Value Error, Time Average |
| Correlation and Spectral Density Function | | | |
| (62) | | Values measured |
| (63) | | Covariance of x and y |
| (64) | | Correlation Coefficient |
| (65) | | Record in a time Intervall T |
| (66) | | Mean Value of x |
| (67) | | Mean Value of y |
| (68) | | Autocorrelation of x |
| (69) | | Autocorrelation of y |
| (70) | | Crosscorrelation of x and y |
| (71) | | Covariance of x |
| (72) | | Covariance of y |
| (73) | | Covariance of x and y |
| (74) | | Correlation Coefficient |
| (75) | | Autospectral Density of x |
| (76) | | Autospectral Density of y |
| (77) | | Crossspectral Density of x and y |
| (78) | | Step Function |
| (79) | | One-sided Autospectral Density of x |
| (80) | | One-sided Autospectral Density of y |
| (81) | | One-sided Crossspectral Density of x and y |
| (82) | | Complex Spectral Density representation |
| (83) | | Real part of the Spectral Density |
| (84) | | Imaginary part of the Spectral Density |
| (85) | | Amplitude and Phase of the Spectral Density |
| (86) | | Amplitude of the Spectral Density |
| (87) | | Phase of the Spectral Density |
| (88) | | Coherence Function |
| (89) | | Transformación de Fourier |
| (90) | | Transformación Inversa de Fourier |
| (91) | | Calculation of Autospectral Density of x |
| (92) | | Calculation of Autospectral Density of y |
| (93) | | Calculation of Crossspectral Density of x and y |
| Single Input/Single Output | | | |
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| (94) | | Output noise independent |
| (95) | | Autospectral Density of y |
| (96) | | Crossspectral Density of x and y |
| (97) | | Covariance of x and y |
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| (98) | | Output Signal |
| (99) | | Variation of the Coherence Function because of the Noise |
| (100) | | Noise/Signal Ratio |
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| (101) | | Input Signal |
| (102) | | Fourier Transformation |
| (103) | | One-sided Spectral Density Equation |
| (104) | | Effective Responce Function |
| (105) | | Variation of the Coherence Function because of the Noise |
| (106) | | Noise/Signal Ratio |
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| (107) | | Output Fourier Transformation |
| (108) | | Feedback Fourier Transformation |
| (109) | | Effective Responce Function |
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| (110) | | Output Fourier Transformation |
| (111) | | Transmited Transfer Signal |
| (112) | | Effective Output Fourier Transformation |
| (113) | | Effective Responce Function |
| (114) | | Noise Fourier Transformation |
| Path Identification | | | |
| Single Input/Multiple Output | | | |
| Multiple Input/Single Output | | | |
| Multiple Input/Output | | | |
Signal Analysis
