Circularly symmetric separable functions are Gaussian
نویسندگان
چکیده
منابع مشابه
Circularly-Symmetric Gaussian random vectors
A number of basic properties about circularly-symmetric Gaussian random vectors are stated and proved here. These properties are each probably well known to most researchers who work with Gaussian noise, but I have not found them stated together with simple proofs in the literature. They are usually viewed as too advanced or too detailed for elementary texts but are used (correctly or incorrect...
متن کاملOn circularly symmetric functions
Let D ⊂ C and 0 ∈ D. A set D is circularly symmetric if for each % ∈ R a set D ∩ {ζ ∈ C : |ζ| = %} is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing %. A function f ∈ A is circularly symmetric if f(∆) is a circularly symmetric set. The class of all such functions we denote by X. The above definitions were given by Jenkins in [2]. In ...
متن کاملOn Circularly Symmetric Functions
1. In addition to the study devoted to the general class of normalized regular univalent functions in the unit circle considerable attention has been given to certain subclasses of these functions such as starlike functions, convex functions, and others. In view of the important role played by symmetrization methods in recent work it seems worth while to study a further subclass—the class of ci...
متن کاملGaussian-Shaped Circularly-Symmetric 2D Filter Banks
In this paper we propose a class of 2D circularly-symmetric filter banks based on a 1D IIR Gaussian prototype. We approach two cases, namely dyadic and uniform filter banks. The Gaussian prototype is obtained using an efficient rational approximation, namely the Chebyshev-Padé approximation. Then, using a frequency transformation, the corresponding 2D filters with circular symmetry are derived....
متن کاملA Design Technique for Separable Denominator Circularly Symmetric 2-d Filters
A simple design technique for separable denominator circularly symmetric lowpass filter is described. In this technique an FIR filter function with sharp cutoff characteristic and amenable to efficient_ implementation is used to meet the transition band requirement of the filter and to provide approximately circularly Symmetric passband. However, the FIR filter nas high transmission in stopband...
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: Applied Mathematics Letters
سال: 1990
ISSN: 0893-9659
DOI: 10.1016/0893-9659(90)90151-z