Symmetric Nearly Orthogonal and Orthogonal Nearly Symmetric Wavelets

نویسندگان

  • A. Farras Abdelnour
  • Ivan W. Selesnick
چکیده

In this paper we discuss the designs of 2-channel orthogonal near symmetric wavelets on the one hand, and the symmetric near orthogonal wavelets on the other. In both types of wavelets we use the Gröbner bases design approach and present examples of both cases. ةــصلاخلا ةهج نم نيتانـق تاذ ةلـثامتملا هبش ةدماعتملا ةريّـغصلا تاجوملا ميمصت ثحبلا اذه يف شـقانـنُ فوس تاجوملا يعون لاك يف لمعتسن فوسو .ىرخأ ةهج نم ةدماعتم هبشلا ةلـثامتملا ةريّـغصلا تاجوملاو . نيّـتلاحلا اتلك ىلع ةلـثمأ مدقنو ،ميمصتلل ةقيرطك رنبورج دعاوق ةريّـغصلا †Electrical Engineering Department Polytechnic University 6 Metrotech Center, Brooklyn, NY 11201 U.S.A. tel : +1 718 260.3211 fax : +1 718 60.3906 e-mail : [email protected] A. Farras Abdelnour and Ivan W. Selesnick The Arabian Journal for Science and Engineering, Volume 29, Number 2C. December 2004 4 SYMMETRIC NEARLY ORTHOGONAL, AND ORTHOGONAL NEARLY SYMMETRIC WAVELETS

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Design of 2-band orthogonal near-symmetric CQF

The FIR 2-band wavelets have found wide applications in practice. One of their disadvantages, however, is that they cannot be made both symmetric and orthogonal. There have been some works on filters which are orthogonal and nearly symmetric. In this paper, Gröbner methods are used to design orthogonal filters with a subset of exactly symmetric coefficients of various lengths, as opposed to nea...

متن کامل

Buckling and vibration analysis of angle -ply symmetric laminated composite plates with fully elastic boundaries

The main focus of this paper is on efficiency analysis of two kinds of approximating functions (characteristic orthogonal polynomials and characteristic beam functions) that have been applied in the Rayleigh-Ritz method to determine the non-dimensional buckling and frequency parameters of an angle ply symmetric laminated composite plate with fully elastic boundaries. It has been observed that o...

متن کامل

The Analysis and Design of Nearly-Orthogonal Symmetric Wavelet Filter Banks

The design and analysis of nearly-orthogonal symmetric wavelet filter banks has been studied. Methods for analyzing the correlation of the nearly-orthogonal filter banks are proposed. The basic idea is to impose multiple zeros at the aliasing frequency to a symmetric filter, minimize the deviation of the filter satisfying the orthogonal condition, and a nearly orthogonal filter bank can be obta...

متن کامل

An Algorithm for the Construction of Symmetric and Anti-Symmetric M-Band Wavelets

In this paper, we give an algorithm to construct semi-orthogonal symmetric and anti-symmetric M-band wavelets. As an application, some semi-orthogonal symmetric and anti-symmetric M-band spline wavelets are constructed explicitly. Also we show that if we want to construct symmetric or anti-symmetric M-band wavelets from a multiresolution, then that multiresolution has a symmetric scaling function.

متن کامل

Two-dimensional Linear Phase Orthogonal Filter-banks and Wavelets

Two-dimensional compactly supported, orthogonal wavelets and lter-banks having linear phase are presented. Two cases are discussed, wavelets with twofold symmetry (centrosymmetric), and wavelets with four-fold symmetry that are symmetric (or anti-symmetric) about the vertical and horizontal axes. We show that imposing the requirement of linear phase in the case of factorable wavelets, imposes a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005