2016•Vestnik IzhGTU imeni M T KalashnikovaOpen access

Measurement of Time Spectra of Discrete Signals on Finite Intervals

Владимир Алексеевич Пономарев, Olga V. Ponomareva, Alexey V. Ponomarev

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Abstract

A new form of discrete Fourier transform - a discrete-frequency Fourier transform (DFFT) - is introduced. It is proved that the original discrete information signal is not the only possible time spectrum of the original discrete measuring signal. It is shown that the absence of an answer to the question about the values of the time spectrum defined by the weighted DFFT within the values of the original digital measurement signal, creates an effect called by the authors as the “stockade effect in the time domain”.

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What this paper is about

A new form of discrete Fourier transform - a discrete-frequency Fourier transform (DFFT) - is introduced. It is proved that the original discrete information signal is not the only possible time spectrum of the original discrete measuring signal. It is shown that the absence of an answer to the question about the values of the time spectrum defined by the weighted DFFT within the values of the original digital measurement signal, creates an effect called by the authors as the “stockade effect in the time domain”.

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Available abstract

A new form of discrete Fourier transform - a discrete-frequency Fourier transform (DFFT) - is introduced. It is proved that the original discrete information signal is not the only possible time spectrum of the original discrete measuring signal. It is shown that the absence of an answer to the question about the values of the time spectrum defined by the weighted DFFT within the values of the original digital measurement signal, creates an effect called by the authors as the “stockade effect in the time domain”.

Key concepts: Discrete Fourier transform (general), Non-uniform discrete Fourier transform, Discrete frequency domain, Discrete-time signal, Discrete-time Fourier transform, SIGNAL (programming language), Mathematics, Discrete time and continuous time

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