نتایج جستجو برای: 2002 4where the hat symbol indicates fourier transform
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assume ? ? l2(rd) has fourier transform continuous at the origin, with ˆ ?(0) = 1, and thatcan be represented by an affine series f = j>0 k?zd c j,k?j,k for some coefficients satisfying c 1(2) = j>0 k?zd |c j,k|2 1/2 <?. here ?j,k(x) = |deta j |1/2?(a jx ?k) and the dilation matrices a j expand, for example a j = 2j i. the result improves an observation by daubechies that t...
abstract in this study, we synthesized a novel template polymer by using methacrylic acid (mma) as functional monomer, ethylene glycol dimethacrylate(egdma) as cross linker, 2,2-azobisisobutyronitrile (aibn) as initiator and olanzapine as targeted molecule in the presence of chloroform and acetonitrile as solvent. the products have been characterized and confirmed by (chn)elemental analysis,...
seismic waves travelling through inelastic media are attenuated by the conversion of elastic energy into heat. upon being attenuated, the travelling wave changes: amplitude is reduced, travelling waveform is modified due to high-frequency content absorption, and phase is delayed. attenuation is usually quantified through the quality factor q: the ratio between the energy stored and lost in each...
asymmetric membranes are widely used in many industrial membrane separation processes. the major advantage of membrane filtration over the conventional process is its ability to remove a wider spectrum of particles without using any chemicals. hollow fiber configuration offer many advantages over flat-sheet or tubular membranes. the spinning process of hollow fiber may look simple, yet it is te...
§0. Introduction §1. The Scheme-Theoretic Fourier Transform §2. Discrete Gaussians and Gauss Sums §3. Review of Degree Computations in [HAT] §4. The Fourier Transform of an Algebraic Theta Function: The Case of an Étale Lagrangian Subgroup §5. The Fourier Transform of an Algebraic Theta Function: The Case of a Lagrangian Subgroup with Nontrivial Multiplicative Part §6. Generic Properties of the...
We consider a continuous version of Gabor multipliers: operators consisting of a short-time Fourier transform, followed by multiplication by a distribution on phase space (called the Gabor symbol), followed by an inverse short-time Fourier transform, allowing different localizing windows for the forward and inverse transforms. For a given pair of forward and inverse windows, which linear operat...
In this paper, the fractional Fourier transform (FrFT) is applied to the spectral bands of two component mixture containing oxfendazole and oxyclozanide to provide the multicomponent quantitative prediction of the related substances. With this aim in mind, the modulus of FrFT spectral bands are processed by the continuous Mexican Hat family of wavelets, being denoted by MEXH-CWTMOFrFT. Four mod...
we commence by using from a new norm on l1(g) the -algebra of all integrable functions on locally compact group g, to make the c-algebra c(g). consequently, we find its dual b(g), which is a banach algebra so-called fourier-stieltjes algebra, in the set of all continuous functions on g. we consider most of important basic theorems about this algebra. this consideration leads to a rather com...
Asymptotic expansions of the wavelet transform for large and small values of the translation parameter b are obtained using asymptotic expansions of the Fourier transforms of the function and the wavelet. Asymptotic expansions of Mexican hat wavelet transform, Morlet wavelet transform, and Haar wavelet transform are obtained as special cases. Asymptotic expansion of the wavelet transform has al...
In non-cooperative communication system, symbol rate is a crucial part of parameter estimation. Based on the wavelet transform, an improved symbol rate estimation model is proposed. Without a prior knowledge, we raised a better symbol rate pre-estimation method in view of corrected average periodogram’s smoothing power spectrum. By choosing the optimal wavelet scale and fast Fourier transform, ...
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