نتایج جستجو برای: generalized discrete fourier transform

تعداد نتایج: 438427  

2015
Jens V. Fischer Hari M. Srivastava

Although versions of Poisson’s Summation Formula (PSF) have already been studied extensively, there seems to be no theorem that relates discretization to periodization and periodization to discretization in a simple manner. In this study, we show that two complementary formulas, both closely related to the classical Poisson Summation Formula, are needed to form a reciprocal Discretization-Perio...

Journal: :international journal of mathematical modelling and computations 0
s. el ouadih department of mathematics, faculty of sciences a¨ın chock,university hassan ii, casablanca, morocco; r. daher department of mathematics, faculty of sciences a¨ın chock,university hassan ii, casablanca, morocco m. el hamma department of mathematics, faculty of sciences a¨ın chock,university hassan ii, casablanca, morocco.

in this paper, using a generalized translation operator, we prove theestimates for the generalized fourier-bessel transform in the space l2 on certainclasses of functions.

Journal: :Signal Processing 2000
Yuh-Ming Huang Ja-Ling Wu

Fast computation of two-dimensional (2-D) generalized discrete Fourier transforms (GDFTs) and generalized discrete Hartley transforms (GDHTs) are discussed in terms of a new method which is derived based on index permutation, linear congruences, and polynomial transforms. Further, the 2-D skew circular convolution computed by the proposed skew polynomial transform is also included. ( 2000 Elsev...

2012
Vaishali Patil Jaikaran Singh

Generalized Discrete Fourier Transform (GDFT) with non-linear phase is a complex valued, constant modulus orthogonal function set. GDFT can be effectively used in several engineering applications, including discrete multi-tone (DMT), orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) communication systems. The constant modulus transforms like discrete Fou...

Journal: :IEEE Transactions on Signal Processing 2000

Journal: :IEEE Signal Processing Magazine 2009

Journal: :Signal Processing 2013
Jorge Martinez Richard Heusdens Richard C. Hendriks

In this paper, a signal processing framework in a generalized Fourier domain (GFD) is introduced. In this newly proposed domain, a parametric form of control on the periodic repetitions that occur due to sampling in the reciprocal domain is possible, without the need to increase the sampling rate. This characteristic and the connections of the generalized Fourier transform to analyticity and to...

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