A measurement matrix is the key to sampling and signal reconstruction during the process of compressed sensing.On the basis of digital light processing(DLP)technology,ageneration and display system of measurement matr...A measurement matrix is the key to sampling and signal reconstruction during the process of compressed sensing.On the basis of digital light processing(DLP)technology,ageneration and display system of measurement matrix based on digital micro-mirror device(DMD)is proposed and well designed.In this system,the generation and controlling of measurement matrix are implemented on a PC,which reduces the hardware requirement to generate a random matrix and overcomes the difficulty of the hardware implementation for the random matrix.It can set up the display number of the measurement matrix,the mode of display and display time according to the requirements from users.The display information can be designed to complete the display of measurement matrix with a better adaptability.The system can be easily embedded into a variety of compressed sensing applications,which can be used to generate and display the corresponding measurement matrice with strong portability.In addition,the DMD of this system will be used as a spatial optical modulator to manipulate near-infrared light in a fast,accurate and efficient way in several applications such as in 3D scanning devices and spectrometers.展开更多
Simon Foucart和Holger Rauhut在他们的著作中证明了高斯随机矩阵奇异值的测度集中不等式,相应的复高斯随机矩阵奇异值和亚高斯随机矩阵奇异值是否有类似的测度集中不等式也是值得思考的.著作中还给出了高斯随机矩阵测度集中不等式的一...Simon Foucart和Holger Rauhut在他们的著作中证明了高斯随机矩阵奇异值的测度集中不等式,相应的复高斯随机矩阵奇异值和亚高斯随机矩阵奇异值是否有类似的测度集中不等式也是值得思考的.著作中还给出了高斯随机矩阵测度集中不等式的一个修正定理但未给出证明.本文通过证明得出了这两个测度集中不等式,并且补充了高斯随机矩阵测度集中不等式修正定理的证明.展开更多
基金Supported by the National Key Scientific Instrument and Equipment Development Project of China(2013YQ030595)the National Natural Science Foundation of China(61474123)
文摘A measurement matrix is the key to sampling and signal reconstruction during the process of compressed sensing.On the basis of digital light processing(DLP)technology,ageneration and display system of measurement matrix based on digital micro-mirror device(DMD)is proposed and well designed.In this system,the generation and controlling of measurement matrix are implemented on a PC,which reduces the hardware requirement to generate a random matrix and overcomes the difficulty of the hardware implementation for the random matrix.It can set up the display number of the measurement matrix,the mode of display and display time according to the requirements from users.The display information can be designed to complete the display of measurement matrix with a better adaptability.The system can be easily embedded into a variety of compressed sensing applications,which can be used to generate and display the corresponding measurement matrice with strong portability.In addition,the DMD of this system will be used as a spatial optical modulator to manipulate near-infrared light in a fast,accurate and efficient way in several applications such as in 3D scanning devices and spectrometers.
