计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
23期
199-202
,共4页
压缩感知%测量矩阵%混沌系统%贝努利分布
壓縮感知%測量矩陣%混沌繫統%貝努利分佈
압축감지%측량구진%혼돈계통%패노리분포
compressed sensing%measurement matrix%chaotic system%Bernoulli distribution
测量矩阵的构造算法是压缩感知中重要的研究方向之一。提出一种基于Logistic混沌-贝努利序列（Chaos-Bernoulli）测量矩阵构造算法，该算法利用了混沌序列良好的伪随机性质，通过一维Logistic混沌系统产生混沌序列，再通过符号函数生成具有贝努利分布的伪随机序列从而构造出压缩感知测量矩阵。实验仿真结果表明，该算法优于贝努利随机测量矩阵，信号重构的峰值信噪比PSNR有1~3 dB的提高，并与其他类型的测量矩阵进行比较，数值分析结果证明该算法是可行有效的。
測量矩陣的構造算法是壓縮感知中重要的研究方嚮之一。提齣一種基于Logistic混沌-貝努利序列（Chaos-Bernoulli）測量矩陣構造算法，該算法利用瞭混沌序列良好的偽隨機性質，通過一維Logistic混沌繫統產生混沌序列，再通過符號函數生成具有貝努利分佈的偽隨機序列從而構造齣壓縮感知測量矩陣。實驗倣真結果錶明，該算法優于貝努利隨機測量矩陣，信號重構的峰值信譟比PSNR有1~3 dB的提高，併與其他類型的測量矩陣進行比較，數值分析結果證明該算法是可行有效的。
측량구진적구조산법시압축감지중중요적연구방향지일。제출일충기우Logistic혼돈-패노리서렬（Chaos-Bernoulli）측량구진구조산법，해산법이용료혼돈서렬량호적위수궤성질，통과일유Logistic혼돈계통산생혼돈서렬，재통과부호함수생성구유패노리분포적위수궤서렬종이구조출압축감지측량구진。실험방진결과표명，해산법우우패노리수궤측량구진，신호중구적봉치신조비PSNR유1~3 dB적제고，병여기타류형적측량구진진행비교，수치분석결과증명해산법시가행유효적。
The measurement matrix construction algorithm is one of important research direction in compressed sensing. A mea-surement matrix algorithm based on Logistic Chaos-Bernoulli sequence is proposed according to the pseudo-random property of chaos sequence. It uses the one-dimensional Logistic chaotic system to generate the chaotic sequence, the pseudo-random sequence with Bernoulli distribution is generated by the symbol function and the sequence is used to construct the measurement matrix. Simulation results show that, the proposed algorithm performs better than the Bernoulli random measurement matrix and the PSNR of construct signal is improved about 1~3 dB, and it is feasible and effective by numerical analysis after comparing with other types of measure matrix.
