Szegö polynomials associated with Wiener-Levinson filters
نویسندگان
چکیده
منابع مشابه
Szegö on Jacobi Polynomials
One of the interesting features in the development of analysis in the twentieth century is the remarkable growth, in various directions, of the theory of orthogonal functions. Two brilliant achievements on the threshold of this century—Fejér's paper on Fourier series and Fredholm's papers on integral equations—have been acting as a powerful inspiring source of attraction, inviting analysts to d...
متن کاملConnection of Semi-integer Trigonometric Orthogonal Polynomials with Szegö Polynomials
In this paper we investigate connection between semi-integer orthogonal polynomials and Szegő’s class of polynomials, orthogonal on the unit circle. We find a representation of the semi-integer orthogonal polynomials in terms of Szegő’s polynomials orthogonal on the unit circle for certain class of weight functions.
متن کاملFekete-Szegö Problem of Functions Associated with Hyperbolic Domains
In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...
متن کاملNotes on Wiener Filters
1 Basic Setting Here, we will only address the discrete time formulation of the Wiener filter. Consider a widesense stationary random process x[n] in the presence of additive noise n[n] independent of x[n]. so that we have u[n] = x[n] + n[n] sent through a time invariant linear system whose output is denoted by y[n]. The signal y[n] will approximate the output of a linear operator L on x[n] by ...
متن کامل6 Wiener Filters
iener theory, formulated by Norbert Wiener, forms the foundation of data-dependent linear least square error filters. Wiener filters play a central role in a wide range of applications such as linear prediction, echo cancellation, signal restoration, channel equalisation and system identification. The coefficients of a Wiener filter are calculated to minimise the average squared distance betwee...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1990
ISSN: 0377-0427
DOI: 10.1016/0377-0427(90)90044-z