Based on the results of the authors’ previous work "Discrete signal reconstruction from itsspectral magnitude and some samples," the uniqueness of the discrete signal reconstructionfrom its autocorrelation ...Based on the results of the authors’ previous work "Discrete signal reconstruction from itsspectral magnitude and some samples," the uniqueness of the discrete signal reconstructionfrom its autocorrelation function and one sample is discussed in detail in this paper, then fourtheorems are presented. And finally an effective iterative algorithm recovering the discretesignal is provided.展开更多
Signal reconstruction from its Fourier Transform (FT) magnitude is one of the researcher’s focuses in signal processing areas and is often encountered into a variety of physical and engineering problems. Generally, a...Signal reconstruction from its Fourier Transform (FT) magnitude is one of the researcher’s focuses in signal processing areas and is often encountered into a variety of physical and engineering problems. Generally, a signal cannot be uniquely specified only from its FT magnitude unless there is some additional information, e.g. it is already known that the signal is the minimum or maximum phase, its FT sign information is available and partial sample points of the signal are given.展开更多
The problem of using partial x(n) and (or) y(n) to solve thewhole x(n),y(n) from the convolved sequence z(n)=x(n)* y(n) is called Semi-blind Deconvolution (SBD) problem which is often encountered in many physical and ...The problem of using partial x(n) and (or) y(n) to solve thewhole x(n),y(n) from the convolved sequence z(n)=x(n)* y(n) is called Semi-blind Deconvolution (SBD) problem which is often encountered in many physical and engineering areas.展开更多
文摘Based on the results of the authors’ previous work "Discrete signal reconstruction from itsspectral magnitude and some samples," the uniqueness of the discrete signal reconstructionfrom its autocorrelation function and one sample is discussed in detail in this paper, then fourtheorems are presented. And finally an effective iterative algorithm recovering the discretesignal is provided.
文摘Signal reconstruction from its Fourier Transform (FT) magnitude is one of the researcher’s focuses in signal processing areas and is often encountered into a variety of physical and engineering problems. Generally, a signal cannot be uniquely specified only from its FT magnitude unless there is some additional information, e.g. it is already known that the signal is the minimum or maximum phase, its FT sign information is available and partial sample points of the signal are given.
基金Present address: Department of Mathematics, Peking University.
文摘The problem of using partial x(n) and (or) y(n) to solve thewhole x(n),y(n) from the convolved sequence z(n)=x(n)* y(n) is called Semi-blind Deconvolution (SBD) problem which is often encountered in many physical and engineering areas.