منابع مشابه
Fourier Transforms of Stationary Processes
We consider the asymptotic behavior of Fourier transforms of stationary and ergodic sequences. Under sufficiently mild conditions, central limit theorems are established for almost all frequencies as well as for a given frequency. Applications to the widely used linear processes and iterated random functions are discussed. Our results shed new light on the foundation of spectral analysis in tha...
متن کاملWhich Countries are Catching up? New Evidences Using Flexible Fourier Stationary Test
In this paper, we tested the catching-up hypothesis toward the USA using Becker et al. (2006) flexible Fourier KPSS stationary test over the period 1960-2009. The mentioned test could control for unknown number and form of structural breaks using a selected frequency component of a Fourier function. Our results show almost poor countries stay poor and almost rich countries stay rich. South Kore...
متن کاملImplementing non-stationary filtering in time and in Fourier domain
Non-stationary filtering of seismic data can be accomplished in time or in Fourier domain by the theory of non-stationary convolution (Margrave, 1998). Here I show the results of implementing this theory for time-variant filtering of seismic data with an arbitrary number of filters and for forward and inverse NMO correction in the frequency domain. In the first case I show that the filters may ...
متن کاملInverse problem approaches for stationary Fourier transform spectrometers.
A design of a miniaturized stationary Fourier transform IR spectrometer has been developed that produces a two-dimensional interferogram. The latter is disturbed by effects like parasitic interferences or disparities in the cutoff wavelength of the pixels. Thus, a simple Fourier transform cannot be used to estimate the spectrum of the scene. However, as these defects are deterministic, they can...
متن کاملTemperature dependence mitigation in stationary Fourier-transform on-chip spectrometers.
We present two techniques for mitigating the effects of temperature drifts in waveguide spatial heterodyne Fourier-transform on-chip spectrometers. In high-resolution devices, large optical path length differences result in an increased sensitivity to temperature variations and impose stringent requirements on the thermal stabilization system. In order to overcome this limitation, here we exper...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1986
ISSN: 0034-5318
DOI: 10.2977/prims/1195178370