A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for Fourier transform [PDF]
, 2004 A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +5 more
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Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
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Fractional fourier transform based monopulse radar for combating jamming interference [PDF]
, 2010 Monopulse radars are used to track a target that appears in the look direction beam width. The distortion produced when manmade high power interference (jamming).
Elgamel, Sherif A.E.H., Soraghan, J.J.
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Short-time Fourier transform laser Doppler holography [PDF]
Journal of the European Optical Society-Rapid Publications, 2013 We report a demonstration of laser Doppler holography at a sustained acquisition rate of 250 Hz on a 1 Megapixel complementary metal-oxide-semiconductor (CMOS) sensor array and image display at 10 Hz frame rate.
Samson B., Atlan M.
doaj +1 more source
Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
core +6 more sources
Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
core +6 more sources
Uncertainty principles for the Fourier and the short-time Fourier transforms
Journal of Mathematical Physics, 2021 The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. In addition, we discuss an analog of the Donoho–Stark uncertainty principle and provide some estimates for the size of the essential support of the short-time Fourier transform.
openaire +4 more sources
Radar Detection-Inspired Signal Retrieval from the Short-Time Fourier Transform
Sensors, 2022 This paper presents a novel adaptive algorithm for multicomponent signal decomposition from the time–frequency (TF) plane using the short-time Fourier transform (STFT).
Karol Abratkiewicz
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Recasting the (Synchrosqueezed) Short-Time Fourier Transform as an Instantaneous Spectrum
Entropy, 2022 In a previous work, we proposed a time-frequency analysis called instantaneous spectral analysis (ISA), which generalizes the notion of the Fourier spectrum and in which instantaneous frequency is utilized to the fullest extent.
Steven Sandoval, Phillip L. De Leon
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Sampling Trajectories for the Short-Time Fourier Transform
Journal of Fourier Analysis and Applications, 2022 AbstractWe study the problem of stable reconstruction of the short-time Fourier transform from samples taken from trajectories in $${\mathbb {R}}^2$$ R 2 .
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