CAJ | 학술논문

压缩感知理论是近年来针对稀疏信号提出的一种新的信号处理理论。该理论的主要创新之处在于对信号采样和压缩是同时进行的。测量矩阵是实现该创新点的关键步骤之一，其性能直接关系着信号能不能精确重构。利用行列式非零的对角矩阵的正交性，结合正交基线性表示理论，提出了一种新的更简单的测量矩阵的构造方法。通过实验仿真，验证了新矩阵具有较好的性能。
압축감지이론시근년래침대희소신호제출적일충신적신호처리이론。해이론적주요창신지처재우대신호채양화압축시동시진행적。측량구진시실현해창신점적관건보취지일，기성능직접관계착신호능불능정학중구。이용행렬식비령적대각구진적정교성，결합정교기선성표시이론，제출료일충신적경간단적측량구진적구조방법。통과실험방진，험증료신구진구유교호적성능。
Compressed sensing theory which is proposed recently for sparse signal is a new theory used in signal processing area . It's main innovation is to sample and compress signal at the same time . Measurement matrix is one significant step to imple-ment the innovation , and it's property has a direct effect on the result of signal reconstruction . This essay proposed a new simple method to construct the measurement matrix , utilizing the orthogonality of diagonal matrix with its determinant of non-zero value , and linear representation theory of orthogonal basis . Simulation result proves that the new matrix has a good performance .