In this paper we discuss two kinds of ill-posed problems in signal processing, that is, in detail, reconstructing compactly supported signal in Fourier transform and solving the convolution equation with analytic kern...
详细信息
ISBN:
(纸本)7900081585
In this paper we discuss two kinds of ill-posed problems in signal processing, that is, in detail, reconstructing compactly supported signal in Fourier transform and solving the convolution equation with analytic kernel. Having analyzed the essential reason of ill-posedness for these problems, we present some stabilized algorithms, which cure the ill-posedness, to recover the approximate solution. Finally the numerical experiments show the efficiency and fast convergence of these algorithms.
In this paper we discuss two kinds of ill-posed problems in signal processing,that is,in detail,reconstructing compactly supported signal in Fourier transform and solving the convolution equation with analytic *** ana...
详细信息
In this paper we discuss two kinds of ill-posed problems in signal processing,that is,in detail,reconstructing compactly supported signal in Fourier transform and solving the convolution equation with analytic *** analyzed the essential reason of ill-posedness for these problems,we present some stabilized algorithms,which cure the ill-posedness,to recover the approximate *** the numerical experiments show the efficiency and fast convergence of these algorithms.
This correspondence presents a new recursive least squares (RLS) adaptive algorithm. The proposed computational scheme uses a finite window by means of a lemma for the system matrix inversion that is, for the first ti...
详细信息
This correspondence presents a new recursive least squares (RLS) adaptive algorithm. The proposed computational scheme uses a finite window by means of a lemma for the system matrix inversion that is, for the first time, stated and proven here. The new algorithm has excellent tracking capabilities. Moreover, its particular structure allows for stabilization by means of a quite simple method. Its stabilized version performs very well not only for a white noise input but also for nonstationary inputs as well. It is shown to follow music, speech, environmental noise, etc, with particularly good tracking properties. The new algorithm can be parallelized via a simple technique. Its parallel form is very fast when implemented with four processors.
We present a method to assess the stability of pairs of interpolation spaces for mixed formulations. The method is based on a straightforward calculation of the eigenvalues of the discrete matrices through Fourier dec...
详细信息
We present a method to assess the stability of pairs of interpolation spaces for mixed formulations. The method is based on a straightforward calculation of the eigenvalues of the discrete matrices through Fourier decomposition in plane waves and is intended to give, via straightforward numerical computations, a sharper determination of stability than the well-known 'patch test' of Zienkiewicz et al. Special attention is devoted to the study of stability and accuracy of equal-order interpolations.
暂无评论