Steps of the proof 1. Calculation of Fourier coefficients $$ { \hat {\Delta}_a (n) }$$ and confirmation of the sign First, to confirm the hint " $$ { \hat {\Delta}_a (n) \ge 0 }$$ ", we calculate the ...
Abstract: In this paper, we present a relative transfer function (RTF) identification method for speech sources in reverberant environments. The proposed method is based on the convolutive transfer ...
Abstract: Orthogonal frequency-division multiplexing (OFDM) has been selected as the basis for the fifth-generation new radio (5G NR) waveform developments. However, effective signal processing tools ...
The Fourier Neural Operator (FNO) [1] is a neural operator with an integral kernel parameterized in Fourier space. This allows for an expressive and efficient architecture. Applications of the FNO ...
Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...
Quantum Fourier analysis is a powerful tool in mathematical physics. Here, we introduce quantum, higher-order Fourier analysis (q-HOFA). We explore some mathematical properties of this theory and show ...
Department of Chemistry, UCL (University College London), 20 Gordon Street, London WC1H 0AJ, U.K. Department of Chemistry, Institute of Environmental Studies and Natural Resources (i-UNAT, FEAM), ...
This paper covers the concept of Fourier series and its application for a periodic signal. A periodic signal is a signal that repeats its pattern over time at regular intervals. The idea inspiring is ...
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