Download PDF Algorithm Collections for Digital Signal Processing Applications Using Matlab by E.S. Gopi

Sinopsis

Consider the two swarms flying in the sky, trying to reach the particular destination. Swarms based on their individual experience choose the proper path to reach the particular destination. Apart from their individual decisions, decisions about the optimal path are taken based on their neighbor’s decision and hence they are able to reach their destination faster. The mathematical model for the above mentioned behavior of the swarm is being used in the optimization technique as the Particle Swarm Optimization Algorithm (PSO).
 

For example, let us consider the two variables ‘x’ and ‘y’ as the two swarms. They are flying in the sky to reach the particular destination (i.e.) they continuously change their values to minimize the function (x-10)2+(y-5)2. Final value for ‘x’ and ‘y’ are 10.1165 and 5 respectively after 100 iterations.
 

The Figure 1-1 gives the closed look of how the values of x and y are changing along with the function value to be minimized. The minimization function value reached almost zero within 35 iterations. Figure 1-2 shows the zoomed version to show how the position of x and y are varying until they reach the steady state.

Content

1.  ARTIFICIAL INTELLIGENCE
2. Particle Swarm Algorithm
3. Genetic Algorithm
4. Simulated Annealing
5. Back Propagation Neural Network
6. Fuzzy Logic Systems
7. Ant Colony Optimization
8. PROBABILITY AND RANDOM PROCESS
9.  Independent Component Analysis
10. Gaussian Mixture Model
11. K-Means Algorithm for Pattern Recognition
12. Fuzzy K-Means Algorithm for Pattern Recognition
13. Mean and Variance Normalization
14. NUMERICAL LINEAR ALGEBRA
15. Hotelling Transformation
16. Eigen Basis
17. Projection Matrix
18. Orthonormal Vectors
19. Computation of the Powers of the Matrix ‘A’
20. Determination of Kth Element in the Sequence
21. Computation of Exponential of the Matrix ‘A’
22. Solving Differential Equation Using Eigen decomposition
23. Computation of Pseudo Inverse of the Matrix
24. Computation of Transformation Matrices
25. System Stability Test Using Eigen Values
26. Positive Definite Matrix test for Minimal Location of the Function f (x1, x2, x3, x4…xn)
27. Wavelet Transformation Using Matrix Method
28. SELECTED APPLICATIONS
29. Ear Pattern Recognition Using Eigen Ear
30. Ear Image Data Compression using Eigen Basis
31. Adaptive Noise Filtering using Back Propagation Neural Network
32. Binary Image Rotation Using Transformation Matrix
33. Clustering Texture Images Using K-means Algorithm
34. Search Engine Using Interactive Genetic Algorithm
35. Speech Signal Separation and Denoising Using Independent Component Analysis
36. Detecting Photorealistic Images using ICA Basis
37. Binary Image Watermarking Using Wavelet Domain of the Audio Signal

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