This paper introducesnew techniques for the eecient computationof Fourier transforms on symmetric groups and their homogeneous spaces. We replace the matrix multiplications in Clausen's algorithm with sums indexed by combinatorial objects that generalize Young tableaux, and write the result in a form similar to Horner's rule. The algorithm we obtain computes the Fourier transform of a function ...

Linear independent component analysis (ICA) learns simple cell receptive fields fromnatural images.Here,we show that linear complexvalued ICA learns complex cell properties from Fourier-transformed natural images, i.e. two Gabor-like filters with quadrature-phase relationship. Conventional methods for complex-valued ICA assume that the phases of the output signals have uniform distribution. We ...

In this paper, we study the error behavior of nonequispaced fast Fourier transform (NFFT). This approximate algorithm is mainly based on convenient choice a compactly supported window function. Here consider continuous Kaiser--Bessel, $\exp$-type, $\sinh$-type, and $\cosh$-type functions with same support shape parameter. We present novel explicit estimates for NFFT such function derive rules o...

Interactive realtime tools for education were developed making use of Matlab GUI functions. They are a) a realtime spectrogram with narrowband, wideband and perceptual frequency resolution axes, b) a realtime spectrum monitoring followed by an interactive spectrogram display with sound playback of a rectangular time-frequency region and scrubbing inspection, c) realtime vocal tract shape displa...

We consider saddle point integrals in d variables whose phase functions are neither real nor purely imaginary. Results analogous to those for Laplace (real phase) and Fourier (imaginary phase) integrals hold whenever the phase function is analytic and nondegenerate. These results generalize what is well known for integrals of Laplace and Fourier type. The proofs are via contour shifting in comp...

some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

We show how to tailor the depth of focus for an optical system using pupil functions obtained from a Fourier transform approach. These complex amplitude and phase pupil functions are encoded onto a single liquid-crystal spatial light modulator. Experimental results show excellent agreement with theory and indicate the power of this approach.

In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...

A time domain interpolation method is presented and applied to channel estimation for pilot-aided Orthogonal Frequency Division Multiplexing (OFDM) system. One key advantage of this method is that it dynamically selects suitable basis functions to approximate the channel transfer function by studying the shape of its Inverse Fourier transform. Which results in a very good approximation by using...

s 343 Folia Primatol 2004;75:341–354 consumption is occasional or limited for Microcebus, Cheirogaleus and Mirza, gum is the dominant food source for Phaner and Allocebus. Craniofacial shape variations were analysed using geometric morphometrics: methods based on landmarks identification (Procrustes superimpositions) were chosen for skull shape analysis, and methods based on outline decompositi...