Subspace Pursuit (SP) Algorithm Package

The Subspace Pursuit (SP) algorithm is a significant method in signal processing and sparse representation domains. Widely applied in compressed sensing, image processing, and wireless communications, it efficiently reconstructs original signals from limited observational data. The algorithm gains attention for its relatively low computational complexity and strong recovery performance. A typical SP algorithm package includes core algorithm implementation and supplementary functional modules. The core component implements the main subspace pursuit logic through iterative methods that progressively approximate the true sparse representation of signals. In code implementation, this involves maintaining and updating an active support set while performing subspace projections. Auxiliary modules may contain data preprocessing functions, result visualization tools, and performance evaluation metrics to help users better understand and utilize the algorithm. Example programs form a crucial part of such packages, typically featuring demonstration code for common application scenarios like 1D signal recovery and image reconstruction. These examples help users quickly grasp parameter configuration techniques and function calling conventions. The implementation usually includes configurable parameters such as sparsity level and tolerance thresholds that users can adjust according to specific requirements for optimal recovery results. Compared to similar algorithms like Orthogonal Matching Pursuit (OMP), SP maintains comparable recovery quality while generally achieving faster convergence rates. This advantage makes it particularly suitable for large-scale data processing or real-time applications. During implementation, key parameters like iteration stopping conditions and support set size require careful configuration as they directly impact algorithm performance and reconstruction accuracy. The code typically includes convergence checks through residual norm comparisons and mechanisms for dynamic support set adjustment.