[PDF] Top 20 Time-Frequency Analysis and Harmonic Gaussian Functions

... The time-frequency analysis is an important field of study and has many important ...this analysis, a main purpose is to have a good representation of a signal and/or the distribution of its ... See full document

... Type I phase matching exploits the birefringence of the nonlinear crystal, which is oriented such that the refrac- tive index for one polarization at the fundamental wave- length matches that at the harmonic in ... See full document

... joint time-frequency analysis using the harmonic wavelet transform was next implemented to extend early works such as that of Roesset (1986), to capture the influence of nonlinearity on the ... See full document

... of Gaussian process prior models to data analysis (Gibbs and MacKay, 2000; Yoshioka, and Ishii, 2001), including data filtering and fitting, statistical modelling and system ...identification. ... See full document

... the time- frequency plane and manifest the capacity of the Gaussian chirplets to represent the signals considered with adequate resolution at all frequency bands of ...overall frequency ... See full document

... the analysis of optimised subdomain boundary conditions with coarse grid operators, or for giving a convergence theory explicit in subdomain or coarse-grid ...basis functions, such as the plane-wave coarse ... See full document

... an analysis of the energy transfer phenomenon of bilinear oscillators in the frequency domain using the NOFRF concept recently developed by the ...the analysis reveal, for the first time, that ... See full document

... Higher-order Frequency Response Functions (HFRFs) [3], or Generalised Frequency Response Functions (GFRFs), and these provide a convenient tool for analyzing nonlinear systems in the ... See full document

... Carrier Frequency Offset (CFO) can be found in literature ...first time in [7] for Binary Phase Shift Keying (BPSK) OFDM systems with CFO in AWGN, flat and frequency selective Rayleigh fading ...and ... See full document

... A simple method of producing artificial plasma is to introduce an inert gas into a chamber containing parallel electrodes on either side of the chamber and then supply a power source to strike the gas between the two ... See full document

... G. Bernard Riemann showed that there always exists an analytic function f that maps a simply connected domain D 1 , onto a simply connected domain D 2 . This original version of the Riemann mapping theorem gave rise to ... See full document

... bounded harmonic function with finite Dirichlet inte- ...surjective harmonic morphisms from a Riemannian manifold onto such a manifold with at least two ends of infinite ...a harmonic morphism with ... See full document

... We recall that a positive harmonic function u on Ω has a representation via the Poisson- Stieltjes integral u(q) = S P(q, p)dµ(p). We write the kernel in the usual half-space coor- dinates q = (y,s), with s ∈ S so ... See full document

... Notice that if g ≡ 0 and α = 0 then the family ᏴᏯᐂ (k,α) defined by (1.7) reduces to the class k- ᐁᏯᐂ of k-uniformly convex analytic functions defined by (1.5). If we, further, let k = 1 in (1.5), we obtain the ... See full document

... Harmonic functions are famous for their use in the study of minimal surfaces and also play important roles in a variety of problems in applied mathematics ...valued harmonic in a domain D ⊂ C if both ... See full document

... distortion analysis toolkit (DATK) is a software tool for analyzing the distortion behavior of real and virtual audio ...five analysis techniques, which can be further augmented with additional user-defined ... See full document

... of harmonic functions by applying certain convolu- tion operator involving hypergeometric ...Goodman-Rønning-type harmonic univalent functions in the open unit disc ... See full document

... (a) harmonic pseudo-convex function, if ∀ x, y ∈ K with ⟨ f ′ (y), y xy − x ⟩ ≥ 0, we have f (x) ≥ f ...(b) harmonic pseudo quasi convex function, if ∀ x, y ∈ K with f (x) ≤ f (y), we have ⟨ f ′ (y), y xy − ... See full document

... same time may be the approach which was used earlier to describe the space-time non-stationary signals scattered underlying surfaces and "clear" sky using nested semi-Markov processes [1, ... See full document

... In this paper, a solution of the Dirichlet problem in the upper half-plane is constructed by the generalized Dirichlet integral with a fast growing continuous boundary function.. MSC: 31[r] ... See full document