Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, ...Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.展开更多
By studying the core algorithm of a three-dimensional discrete wavelet transform(3-D DWT)in depth,this paper divides it into three one-dimensional discrete wavelet transforms(1-D DWTs).Based on the implementation of a...By studying the core algorithm of a three-dimensional discrete wavelet transform(3-D DWT)in depth,this paper divides it into three one-dimensional discrete wavelet transforms(1-D DWTs).Based on the implementation of a 3-D DWT software,a parallel architecture design of a very large-scale integration(VLSI)is produced.It needs three dual-port random-access memory(RAM)to store the temporary results and transpose the matrix,then builds up a pipeline model composed of the three 1-D DWTs.In the design,the finite state machine(FSM)is used well to control the flow.Compared with the serial mode,the experimental results of the post synthesized simulation show that the design method is correct and effective.It can increase the processing speed by about 66%,work at 59 MHz,and meet the real-time needs of the video encoder.展开更多
文摘Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.
基金supported by the Defense Advanced Research Projects under Contract(No.41308010408).
文摘By studying the core algorithm of a three-dimensional discrete wavelet transform(3-D DWT)in depth,this paper divides it into three one-dimensional discrete wavelet transforms(1-D DWTs).Based on the implementation of a 3-D DWT software,a parallel architecture design of a very large-scale integration(VLSI)is produced.It needs three dual-port random-access memory(RAM)to store the temporary results and transpose the matrix,then builds up a pipeline model composed of the three 1-D DWTs.In the design,the finite state machine(FSM)is used well to control the flow.Compared with the serial mode,the experimental results of the post synthesized simulation show that the design method is correct and effective.It can increase the processing speed by about 66%,work at 59 MHz,and meet the real-time needs of the video encoder.
