5-3 Integer Wavelet Analysis Implementation in MATLAB

This MATLAB implementation provides a complete 5-3 integer wavelet analysis system organized into three modular files. The analysis module performs forward wavelet transformation using the 5-3 integer wavelet filter bank algorithm, while the reconstruction module handles inverse transformation with perfect reconstruction properties. The main program coordinates the entire workflow, enabling three-level wavelet decomposition of input images through iterative filtering and downsampling operations. Key implementation features include adjustable decomposition parameters that control the extraction of detail coefficients (horizontal, vertical, diagonal) and approximation coefficients at different resolution levels. The algorithm employs lifting scheme operations for efficient integer-based computations, ensuring lossless reconstruction capabilities. This analytical approach facilitates comprehensive understanding of image frequency characteristics and spatial distributions, making it particularly suitable for applications in image compression (through coefficient quantization and entropy coding), image enhancement (via selective coefficient modification), and multi-resolution analysis. The decomposition process systematically separates image information into hierarchical subbands, where higher-level decompositions capture increasingly coarse approximations while preserving fine details in corresponding coefficient matrices. Users can experimentally optimize decomposition levels based on specific application requirements, balancing computational complexity against analytical precision.