CAJ | 학술논문

在分析常用量测矩阵优缺点的基础上,将随机符号矩阵、部分哈达玛矩阵和随机抽样矩阵相结合,构建了一个新的部分随机化哈达玛量测矩阵,克服了局部哈达玛矩阵只能用于信号维度是2的n次幂的应用缺陷,保留了局部哈达玛矩阵作为量测矩阵进行重构时需要量测个数最少、重构精度最高的优势,并将矩阵与平滑0-范数法结合应用于复数重构.仿真分析表明:部分随机化哈达玛量测矩阵具有非相关性强、重构精度高和重构所需量测个数少、噪声鲁棒性强等优点.
재분석상용량측구진우결점적기출상,장수궤부호구진、부분합체마구진화수궤추양구진상결합,구건료일개신적부분수궤화합체마량측구진,극복료국부합체마구진지능용우신호유도시2적n차멱적응용결함,보류료국부합체마구진작위량측구진진행중구시수요량측개수최소、중구정도최고적우세,병장구진여평활0-범수법결합응용우복수중구.방진분석표명:부분수궤화합체마량측구진구유비상관성강、중구정도고화중구소수량측개수소、조성로봉성강등우점.
Based on analysis of the merit and demerit of measurement matrices in use, this paper constructs a novel partial randomized Hadamard matrix by combining a random symbol matrix and a partial Hadamard matrix with a random sampling matrix, which gets over the drawback that the partial Hadamard matrix can be only applied to the signal dimensionality with 2 to the nth power, keeps the advantages that the required measuring number is minimum and the precision of reconstruction is maximum when using the partial Hadamard matrix as measurement matrix for reconstruction, and combines the matrix with smoothed 0-norm algorithm for reconstruction of the complex number. Simulation analysis shows that this proposed partial randomized Hadamard matrix possesses the merits of strong non-relevance , high precision of reconstruction , fewer measuring number for reconstruction, better robustness of noise and others.