Results 31 to 40 of about 150,152 (290)
On the Quaternionic Short-Time Fourier and Segal–Bargmann Transforms [PDF]
Mediterranean Journal of Mathematics, 2021 AbstractIn this paper, we study a special one-dimensional quaternion short-time Fourier transform (QSTFT). Its construction is based on the slice hyperholomorphic Segal–Bargmann transform. We discuss some basic properties and prove different results on the QSTFT such as Moyal formula, reconstruction formula and Lieb’s uncertainty principle.
Antonino De Martino, Kamal Diki
openaire +2 more sources
IEEE Access, 2020 In this paper, we present nnAudio, a new neural network-based audio processing framework with graphics processing unit (GPU) support that leverages 1D convolutional neural networks to perform time domain to frequency domain conversion.
Kin Wai Cheuk +3 more
doaj +1 more source
INDUCED DRAFT FAN DOMINANT FREQUENCY DETECTION USING SHORT-TIME FOURIER TRANSFORM METHOD
Rekayasa Mesin, 2023 Weak suction and large vibrations indicate an Induced Draft Fan (IDF) problem. The Fast Fourier Transform (FFT) method cannot be applied to non-stationary vibration signals.
Dedik Romahadi
doaj +1 more source
A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform [PDF]
, 2020 In this note we provide a negative answer to a question raised by Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture.
Nicola F., Trapasso S. I.
core +1 more source
Uncertainty principles for the short‐time Fourier transform on the lattice
Mathematische Nachrichten, 2023 AbstractIn this paper, we study a few versions of the uncertainty principle for the short‐time Fourier transform on the lattice . In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks‐type uncertainty principle, Heisenberg‐type uncertainty principle, and local uncertainty ...
Anirudha Poria, Aparajita Dasgupta
openaire +2 more sources
Multidimensional random sampling for Fourier transform estimation [PDF]
, 2013 This research considers the Fourier transform calculations of multidimensional signals. The calculations are based on random sampling, where the sampling points are nonuniformly distributed according to strategically selected probability functions, to ...
Al-Ani, M.
core +1 more source
On the polyanalytic short-time Fourier transform in the quaternionic setting
Communications on Pure and Applied Analysis, 2022 <p style='text-indent:20px;'>In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such a transform is based on the recent theory of slice polyanalytic functions on quaternions.
De Martino, A, Diki, K
openaire +3 more sources
DCFF-MTAD: A Multivariate Time-Series Anomaly Detection Model Based on Dual-Channel Feature Fusion
Sensors, 2023 The detection of anomalies in multivariate time-series data is becoming increasingly important in the automated and continuous monitoring of complex systems and devices due to the rapid increase in data volume and dimension. To address this challenge, we
Zheng Xu +3 more
doaj +1 more source
Zeros of the Wigner distribution and the short-time Fourier transform [PDF]
Revista Matemática Complutense, 2019 AbstractWe study the question under which conditions the zero set of a (cross-) Wigner distribution W(f, g) or a short-time Fourier transform is empty. This is the case when both f and g are generalized Gaussians, but we will construct less obvious examples consisting of exponential functions and their convolutions.
Karlheinz Gröchenig +2 more
openaire +5 more sources
Cross-Term Suppression in Time Order Distribution for AWGN Signal [PDF]
Mehran University Research Journal of Engineering and Technology, 2017 A technique of cross-term suppression in WD (Wigner Distribution) for a multi-component signal that is embedded WGN (White Gaussian Noise) is proposed.
WAQAS MAHMOOD +3 more
doaj