Fundamentals of Nonlinear Digital Filtering

Astola\, Jaakko; Kuosmanen\, Pauli

• Nonlinear Signal Processing: Signal Processing Model. Signal and Noise Models. Fundamental Problems in Noise Removal. Algorithms. Statistical Preliminaries: Random Variables and Distributions. Signal and Noise Models. Estimation. Some Useful Distributions. 1001 Solutions: Trimmed Mean Filters. Other Trimmed Mean Filters. L-Filters. C-Filters (Ll-Filters). Weighted Median Filters. Ranked-Order and Weighted Order Statistic Filters. Multistage Median Filters. Median Hybrid Filters. Edge-Enhancing Selective Filters. Rank Selection Filters. M-Filters. R-Filters. Weighted Majority with Minimum Range Filters. Nonlinear Mean Filters. Stack Filters. Generalizations of Stack Filters. Morphological Filters. Soft Morphological Filters. Polynomial Filters. Data-Dependent Filters. Decision-Based Filters. Iterative, Cascaded, and Recursive Filters. Some Numerical Measures of Nonlinear Filters. Discussion. Statistical Analysis and Optimization of Nonlinear Filters: Methods Based on Order Statistics. Stack Filters. Multistage and Hybrid Filters. Discussion. Exercises. Bibliography. Index.NTI/Sales Copy