Efficient Iterative Reconstruction Method for Randomly Sampled Multi-Band Signals

• Published in: Engineering letters 2024-11, Vol.32 (11), p.2107
• Main Authors: Semlali, H, Boumaaz, N, Maali, A, Laafar, S, Soulmani, A, Ghammaz, A, Diouris, J -F
• Format: Article
• Language: English
• Subjects: Algorithms; Complexity; Iterative methods; Performance evaluation; Random sampling; Reconstruction; Robustness; Signal quality; Software radio
• ISSN: 1816-093X; 1816-0948

Random sampling provides several benefits for multi-band signals compared to uniform sampling case. These benefits include greater sample frequency flexibility, fewer restrictions on signal filtering, and, in the case of stationary sampling sequences, a decrease or suppression of spectrum aliases. This makes random sampling a preferred option in Software Defined Radio (SDR) systems, which face the challenge of supporting different standards with different sampling frequencies. However, the task of reconstruction becomes more complex with random sampling. In the literature, various reconstruction techniques are provided. In this paper, we focus on employing the ADPW-CG iterative method to address the reconstruction issue with randomly sampled signals within an SDR system context. The effectiveness of the proposed algorithm is evaluated in terms of complexity, reconstructed signal quality, and robustness, and robustness and the findings is compared with the performance of the SVD direct algorithm and other iterative methods. Based on the obtained results, we observed that the proposed approach demonstrates promising performance in comparison to other algorithms.