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Journal ArticleDOI

The discrete frequency Fourier transform

TLDR
In this paper, the discrete frequency Fourier transform (DFFT) is shown to be a useful transform in its own right for spatial domain image reconstruction, filling a gap in the theory and aids the designer in understanding problems which have inherently sampled frequency domains.
Abstract
In certain signal processing applications it may be required to reconstruct a spatial domain image form samples of its Fourier transform. For problems such as this it may be useful to use the dual of the well-known discrete time Fourier transform (DTFT) for purposes of analysis and design. In this paper, this dual concept, called the discrete frequency Fourier transform (DFFT), is shown to be a useful transform in its own right. In addition to being useful for certain physical problems, the DFFT fills a gap in the theory and aids the designer in understanding problems which have inherently sampled frequency domains.

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Citations
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Journal ArticleDOI

An Empirical Fourier Transform-Based Power Transformer Differential Protection

TL;DR: This paper presents a novel approach for the power transformer differential protection based on empirical Fourier transform (EFT), which is derived from discrete Fouriertransform (DFT) with certain modifications based on the nature of current waveforms during internal fault, inrush, and current-transformer (CT) saturation.
Journal ArticleDOI

Distortion Modeling and Compensation in Step Frequency Radars

TL;DR: A class of compensation methods based on this model using parameter estimation from calibration measurements is suggested, which represent a generalization of a well-known approach for equalization of linear distortion in step frequency radars.
Journal ArticleDOI

Pipe network blockage detection by frequency response and genetic algorithm technique

TL;DR: New relationships and sensitivity analysis show that blockage location is directly proportional to length of maximum straight pipeline, and square root of pressure peaks, andsquare root ofpressure peaks.
Proceedings ArticleDOI

A Practical Example to Understand Pipeline A/D Converters Performance Using Software Tools

TL;DR: A simple methodology facilitating the understanding of this kind of ADC through simulation and testing of a basic pipeline structure including a rule for clocking the parallel stages is proposed.
Proceedings ArticleDOI

Robotic Inspection and Characterization of Subsurface Defects on Concrete Structures Using Impact Sounding

TL;DR: A novel robotic inspection system named as Impact-Rover is presented to automate the data collection process and introduce data analytics software to visualize the inspection result allowing regular non-professional people to understand.
References
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Journal ArticleDOI

A tomographic formulation of spotlight-mode synthetic aperture radar

TL;DR: In this article, a projection-slice theorem from computer-aided tomograpy (CAT) is used to analyze the signal recorded at each SAR transmission point, which is modeled as a portion of the Fourier transform of a central projection of the imaged ground area.