Robust Technology with Analysis of Interference in Signal Processing

1. Needs in Development of Statistical Analysis Technology.- 1.1 Opportunities of Robust Statistical Analysis Technology.- 1.2 Features of Improving Correlation Matrix Stipulation.- 1.3 Analysis of Factors of Poor Stipulation of Correlation Matrices.- 1.4 Analysis of Methods of Improving Correlation Matrix Stipulation.- 2. Robust Methods for Determining Estimates of Statistical Characteristics.- 2.1 Methods for Determining Noise Variance.- 2.2 Robust Method for Improving Estimates of Autocorrelation Functions.- 2.3 Robust Method for Improving Estimates of Cross Correlation Functions.- 3. Robust Technology of Correlation Analysis.- 3.1 Algorithms for Determining Estimates of Noise Variance.- 3.2 Algorithms for Determining Magnitude Providing Robustness of Estimates of Auto- and Cross Correlation Functions.- 3.3 Robust Algorithms for Improving Estimates of Auto- and Cross Correlation Functions.- 4. Robust Technology for Improving Correlation Matrix Stipulation and Identification Adequacy.- 4.1 Robust Technology for Improving Correlation Matrix Stipulation.- 4.2 Analysis of the Efficiency of Robust Technology for Improving Correlation Matrix Stipulation.- 4.3 Robust Technology for Improving Identification Adequacy of Statics of Technological Processes.- 4.4 Algorithms for Providing Adequacy of Mathematical Models at Expense of Compensation of Errors of Diagonal Elements of Correlation Matrices by Means of Estimates of Noise Variance.- 4.5 Robust Technology of Choice of Regularization Parameters by Statistical Identification.- 4.6 Determination of a Priori Values of Model Coefficients in Using Regularization Methods.- 5. Robust Technology of Harmonic Analysis.- 5.1 Methods of Spectral Analysis of Experimental Information.- 5.2 Practical Harmonic Analysis.- 5.3 Analysis of Features of Spectral Analysis Algorithms.- 5.4 Causes of Appearance of Difference between Positive and Negative Errors Caused by Noise.- 5.5 Algorithms for Providing Robustness of Estimates an, bn.- 5.6 Robust Technology of Determining Coefficients of Fourier Series.- 5.7 Analysis of Results of Computer Experiment.- 6. Position-Binary Technology of Statistical Analysis of Cyclic Processes and Noises.- 6.1 Special Features of Cyclic Processes.- 6.2 Position-Binary Technology of Analysis of Cyclic Signals.- 6.3 Application of Position-Binary Technology for Noisy Signal Analysis.- 6.4 Position-Selective Discretization of Analog Signals.- 6.5 Examples of Application of Position-Binary Technology for Analyzing Random Processes.- 6.6 Position-Selective Filtering of Noise.- 6.7 Position-Binary Technology of Analysis of Noise.- 7. Algorithms and Technology of Analysis of Interference as Information Carrier.- 7.1 Problem of the Analysis of Interference as an Information Carrier.- 7.2 Algorithm for Determining the Mean-Root-Square Deviation of Interference.- 7.3 Algorithm for Determining the Relative Mean-Root-Square Error of Samples Caused by Interference.- 7.4 Decomposition of Noisy Signal to Useful Signal and Interference.- 7.5 Algorithms of Correlation Analysis of Interference.- 7.6 Algorithms of Spectral Analysis of Interference.- 7.7 Informative Technology of Analysis of Interference.- 8. Application of Robust Technology for Solving Problems of Control, Diagnostics, and Forecasting.- 8.1 Alternatives of Using Robust Technology in Information Systems.- 8.2 Robust Technology of System Analysis of Seismic Signals.- 8.3 Hybrid Robust System of Control and Diagnostics of Sea Platform State.- 8.4 Robust Technology of Controlling Seismostability of Objects of Sea Oil-and-Gas Deposits.- 8.5 Robust Information System for Early Detection and Diagnostics of Failures in Drilling Oil Wells.- 8.6 Diagnostics of Oil Well State.- 8.7 Robust Technology of Diagnostics of State of Objects of Petrochemical Productions.- References.