Academic Journal

Optimization of Bipolar Toeplitz Measurement Matrix Based on Cosine-Exponential Chaotic Map and Improved Abolghasemi Algorithm

التفاصيل البيبلوغرافية
العنوان: Optimization of Bipolar Toeplitz Measurement Matrix Based on Cosine-Exponential Chaotic Map and Improved Abolghasemi Algorithm
المؤلفون: S. Meng, C. Meng, C. Wang, Q. Wang
المصدر: Radioengineering, Vol 32, Iss 4, Pp 583-593 (2023)
بيانات النشر: Spolecnost pro radioelektronicke inzenyrstvi, 2023.
سنة النشر: 2023
المجموعة: LCC:Electrical engineering. Electronics. Nuclear engineering
مصطلحات موضوعية: chaotic map, measurement matrix, bipolar toeplitz matrix, optimization, Electrical engineering. Electronics. Nuclear engineering, TK1-9971
الوصف: In compressive sensing theory, the measurement matrix plays a crucial role in compressive observation of sparse signals. The bipolar Toeplitz measurement matrix constructed based on chaotic map has advantages such as generating fewer free elements and supporting fast algorithms, making it widely used. While optimizing the measurement matrix can effectively improve its compressive sensing reconstruction performance, existing optimization algorithms are not suitable for the bipolar Toeplitz measurement matrix due to its structural and bipolar properties. To address this issue, this paper proposes an optimization method for the bipolar Toeplitz measurement matrix based on cosine-exponential (CE) chaotic map sequences and an improved Abolghasemi algorithm. Using an enhanced CE chaotic map to generate chaotic sequences with greater chaos and randomness, we construct the measurement matrix and optimize it using the structure matrix and the improved Abolghasemi algorithm, which preserves the matrix's bipolarity without altering its structure. We also introduce constraints on the generated sequence values during the optimization process. Through simulation experiments, the effectiveness of our optimization algorithm is verified, as the optimized bipolar Toeplitz measurement matrix significantly reduces reconstruction error and improves reconstruction probability.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1210-2512
Relation: https://www.radioeng.cz/fulltexts/2023/23_04_0583_0593.pdf; https://doaj.org/toc/1210-2512
URL الوصول: https://doaj.org/article/bc1baf337ba646ee8919771b4656e79a
رقم الانضمام: edsdoj.bc1baf337ba646ee8919771b4656e79a
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