On the CLT for discrete Fourier transforms of functional time series
نویسندگان
چکیده
منابع مشابه
Discrete–time Fourier Series and Fourier Transforms
We now start considering discrete–time signals. A discrete–time signal is a function (real or complex valued) whose argument runs over the integers, rather than over the real line. We shall use square brackets, as in x[n], for discrete–time signals and round parentheses, as in x(t), for continuous–time signals. This is the notation used in EECE 359 and EECE 369. Discrete–time signals arise in t...
متن کاملDiscrete–time Fourier Series and Fourier Transforms
We now start considering discrete–time signals. A discrete–time signal is a function (real or complex valued) whose argument runs over the integers, rather than over the real line. We shall use square brackets, as in x[n], for discrete–time signals and round parentheses, as in x(t), for continuous–time signals. This is the notation used in EECE 359 and EECE 369. Discrete–time signals arise in t...
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15 صفحه اولOn the Parametrization of Algebraic Discrete Fourier Transforms
Computing the Discrete Fourier Transform (DFT) of signals over some nite eld Fq often requires an extension to a large eld Fqn containing an appropriate primitive root of unity. The Algebraic Discrete Fourier Transforms (ADFTs) avoid the extension of the base eld Fq and can be used to compute the spectrum of the DFT. We derive a complete parametrization of ADFT matrices and show how this knowle...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2017
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2016.11.006