Project-1 (Computer or hardware implementation, samples) ? Develop the programs that implement several noise models (Gaussian, White, Thermal , Impulse (salt-and-pepper) ,Generalized Gamma dist, uniform, Rayleigh, Exponential and. Periodic). Display the results. ? Develop a program that implements the nonlinear filters (for example, develop the programs that implement the Positive and Negative Weighted Median Filters, Mean square error (MSE) measurement is used to evaluate the filter performance. Display the results. ? Develop a program that implements simple linear and nonlinear filters (for example, Develop the programs that implement the Positive and Negative Weighted Median Filters Spatial Domain Filters such as Arithmetic mean, geometric mean, Harmonic mean filter, Max and min filters, median filter, Contra-harmonic mean filter, Midpoint filter, order statistics filters, Adaptive Filters) Mean square error (MSE) measurement is used to evaluate the filter performance. Display the results. ? Develop the programs that implement the Morphological filters. Mean square error (MSE) measurement is used to evaluate the filter performance. Display the results. ? Develop a program that implements an adaptive filter. Mean square error (MSE) measurement is used to evaluate the filter performance. Display the results. ? Develop a program that implements the Alpha-trimmed and Homomorphic filters. Mean square error (MSE) measurement is used to evaluate the filter performance. Display the results. Project-2 (Computer or hardware implementation, samples) ? Develop a program that implements Boolean function based filters ? Develop a program that implements simple linear/nonlinear filter banks and de-noising procedures. ? Develop a program for computing the discrete Fourier and windowing Fourier transform of a signal. Display the results. ? Develop a program that implements the DF based image enhancement algorithms. Display the results. ? Develop a program that implements the DF based edge detection algorithms. Display the results. ? Develop a program that implements the DF based signal prediction/ extrapolation algorithms. Display the results. ? Develop a program that implements the Fourier transform based FIR filters, (including Cesaro, and Vallee Poussin filters), and use the program for signal filtering. Display the results. ? Develop a program that implements the cosine transform based filters, (including Cesaro, and Vallee Poussin filters), and use the program for signal filtering. Display the results. Project-3 (Computer or hardware implementation, sample) ? Develop a program that implements the second-order Peaking and Notching filters. Display the results ? Verify (experimentally) the basic properties of the Chebyshev system. Develop a program that implements the Chebyshev filters. Display the results ? Verify (experimentally) the basic properties of the Butterworth system. Develop a program that implements the classical Butterworth filter. Display the results ? Analysis of Gaussian and Butterworth Band-reject and Notch filters on Enhancing and Cleaning Noisy Images ? The primary goal of this project is to introduce the concept of the Coordinate Logic Filter and provide examples of two applications of the filter in the area of image processing. The first application, the majority coordinate logic filter, is described and the results of applying the filter to an image with varying paper (impulse) noise are compared. In the last section we will see how a coordinate logic filter can be used to quickly implement an edge detection function. Matlab will be used to execute all examples shown in this project. Specifically it can be used to generate the noise, add the noise to the image, create the filter, apply the filter to the image, measure the filter results, and execute the edge detection algorithm.