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This book presents optimal design of digital FIR and IIR filters using evolutionary optimization methods. Some evolutionary optimization methods named as Normal Particle Swarm Optimization (PSO), PSO with Constriction Factor and Inertia Weight Approach (PSOCFIWA), PSOCFIWA with Wavelet Mutation (PSOCFIWA-WM), Harmonic Search (HS), and Harmonic Search with Wavelet Mutation (HS-WM) are discussed in this book and have been used for the optimal design of digital low pass, high pass, band pass and band stop filters. In order to show the comparative effectiveness of the discussed algorithms, the simulation results have been compared with the already existing well-established results. Further to demonstrate the efficacy of the proposed methods, these have been implemented via Simulink models in MATLAB.