Journal ArticleDOI
Interpolation Algorithms for Discrete Fourier Transforms of Weighted Signals
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TLDR
In this paper, a new scheme is presented for the determination of the parameters that characterize a multifrequency signal, where the signal is weighted before the discrete Fourier transform (DFT) is calculated from which the frequencies and complex amplitudes of the various components of the signal are obtained by interpolation.Abstract:
A new scheme is presented for the determination of the parameters that characterize a multifrequency signal. The essential innovation is that the signal is weighted before the discrete Fourier transform (DFT) is calculated from which the frequencies and complex amplitudes of the various components of the signal are obtained by interpolation. It is shown that by using the Hanning window for tapering substantial improvements are achieved in the following respects: i) more accurate results are obtained for interpolated frequencies, etc., ii) harmonic interference is much less troublesome even if many tones with comparable strengths are present in the spectrum, iii) nonperiodic signals can be handled without an a priori knowledge of the tone frequencies. The stability of the new method with respect to noise and arithmetic roundoff errors is carefully examined.read more
Citations
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Journal ArticleDOI
Windows and interpolation algorithms to improve electrical measurement accuracy
TL;DR: An FFT-based measurement technique, which can be easily used to determine accurately the frequency, amplitude, and phase of all the harmonic and interharmonic components of a distorted signal, is examined in this paper.
Journal ArticleDOI
The interpolated fast Fourier transform: a comparative study
TL;DR: In this article, the properties of five interpolating fast Fourier transform (IFFT) methods with respect to their systematic errors and their noise sensitivity, for a monofrequency signal are studied.
Journal ArticleDOI
Enhanced Interpolated-DFT for Synchrophasor Estimation in FPGAs: Theory, Implementation, and Validation of a PMU Prototype
Paolo Romano,Mario Paolone +1 more
TL;DR: Experimental validation of the proposed enhanced-IpDFT algorithm that iteratively compensates the effects of the spectral interference produced by the negative image of the main spectrum tone is presented.
Journal ArticleDOI
The algorithm of interpolating windowed FFT for harmonic analysis of electric power system
TL;DR: A new amending algorithm, poly-item cosine window interpolation, which is based on the interpolating algorithm proposed by V. Jain and T Grandke is presented, which improves the accuracy of the FFT, so it can be applied to the precision analysis for electrical harmonics.
Journal ArticleDOI
Fast nearly ML estimation of the parameters of real or complex single tones or resolved multiple tones
TL;DR: New computationally efficient algorithms for estimating the parameters (frequency, amplitude, and phase) of one or more real tones (sinusoids) or complex tones (cisoids) in noise from a block of N uniformly spaced samples are presented.
References
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Journal ArticleDOI
On the use of windows for harmonic analysis with the discrete Fourier transform
TL;DR: A comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared is included, and an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.
Journal ArticleDOI
Spectra of quantized signals
TL;DR: Quantizing of time, or time division, has found application as a means of multiplexing telephone channels and the more familiar word “sampling” will be used here interchangeably with the rather formidable term “quantization of time”.
Journal ArticleDOI
High-Accuracy Analog Measurements via Interpolated FFT
TL;DR: In this article, interpolated fast Fourier transform (FFT) algorithms are used for multi-parameter measurements upon periodic signals, such as fundamental frequency, phase, and amplitude, with enhanced accuracy compared to existing algorithms.
Journal ArticleDOI
Effects of finite register length in digital filtering and the fast Fourier transform
Alan V. Oppenheim,C. Weinstein +1 more
TL;DR: The groundwork is set through a discussion of the relationship between the binary representation of numbers and truncation or rounding, and a formulation of a statistical model for arithmetic roundoff, to illustrate techniques of working with particular models.
Journal ArticleDOI
Some Aspects of the Zoom Transform
TL;DR: This paper examines some of the aspects of the zoom transform, which provides for partial recovery of the ideal resolution on an analyzer of limited capcity by concentrating the analysis on selected frequency bands.