Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering [PDF]
Cataloged from PDF version of article.Any system consisting of a sequence of multiplicative filters inserted between several fractional Fourier transform stages, is equivalent to a system composed of an appropriately chosen sequence of multiplicative ...
Ozaktas, H. M.
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Fractional Fourier transform and geometric quantization
Generalized Fourier transformation between the position and the momentum representation of a quantum state is constructed in a coordinate independent way. The only ingredient of this construction is the symplectic (canonical) geometry of the phase-space: no linear structure is necessary.
Jerzy Kijowski, Witold Chmielowiec
openaire +3 more sources
Unlimited Sampling Theorem Based on Fractional Fourier Transform
The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. The unlimited sampling theory expands the recordable range of traditional analog-to-digital converters (ADCs) arbitrarily, and the signal is folded back into
Hui Zhao, Bing-Zhao Li
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Enhanced monopulse radar tracking using optimum fractional Fourier transform [PDF]
Conventional monopulse radar processors are used to track a target that appears in the look direction beam width. The distortion produced when additional targets appear in the look direction beam width can cause severe erroneous outcomes from the ...
Elgamel, S. A., Soraghan, J.
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The share of technical thermoplastics is expected to grow further in the e‐mobility segment. In this study, a detailed temperature‐based tribological characterization of technical thermoplastics is performed. The tribological properties are discussed in terms of the dynamic mechanical properties of polymers at different ambient temperatures. A proof of
Harsha Raghuram+2 more
wiley +1 more source
Identification of Sonar Detection Signal Based on Fractional Fourier Transform
Aiming at the source of underwater acoustic emission, in order to identify the enemy emission sonar source accurately. Using the digital watermarking technology and combining with the good time-frequency characteristics of fractional Fourier transform ...
Biao Wang+3 more
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Circular Convolution and Product Theorem for Affine Discrete Fractional Fourier Transform [PDF]
The Fractional Fourier Transform is a ubiquitous signal processing tool in basic and applied sciences. The Fractional Fourier Transform generalizes every property and application of the Fourier Transform. Despite the practical importance of the discrete fractional Fourier transform, its applications in digital communications have been elusive.
arxiv
Ambiguities in one-dimensional phase retrieval from magnitudes of a linear canonical transform
Phase retrieval problems occur in a wide range of applications in physics and engineering. Usually, these problems consist in the recovery of an unknown signal from the magnitudes of its Fourier transform.
Beinert, Robert
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Performance Comparison of Surface Sensitizers for Diode Laser Powder Bed Fusion of Polyamide 12
Laser‐generated nanoparticles transform standard PA12 powders into high‐performance, dye‐free feedstocks for diode laser 3D printing. Despite identical absorbance at 808 nm, CuS, LaB6, and CB coatings reveal striking differences in fusion and strength—unlocking new design space for recyclable, industrial‐grade polymers.
Michael Willeke+9 more
wiley +1 more source
Two-sided fractional quaternion Fourier transform and its application
In this paper, we introduce the two-sided fractional quaternion Fourier transform (FrQFT) and give some properties of it. The main results of this paper are divided into three parts. Firstly we give a definition of the FrQFT. Secondly based on properties
Zunfeng Li, Haipan Shi, Yuying Qiao
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