Signal Reconstruction Using Matching Pursuit (MP) Algorithm

This implementation uses MATLAB to reconstruct signals through the Matching Pursuit (MP) algorithm. The code includes comprehensive comments to facilitate understanding of the algorithmic implementation process. Key implementation aspects involve iterative selection of dictionary atoms that best match the signal residual, with each iteration updating the residual by subtracting the projection onto the selected atom. The algorithm progressively constructs a sparse representation through greedy optimization. Further discussion covers the fundamental principles of MP algorithm, including its sparse approximation approach and computational efficiency. Practical applications span signal processing domains such as audio compression, image denoising, and biomedical signal analysis where sparse representations are essential. The implementation demonstrates core MATLAB functions including dictionary generation, inner product calculations for atom selection, and residual updating procedures.