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Relevant bibliographies by topics / Parseval's Theorem

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Academic literature on the topic 'Parseval's Theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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Journal articles on the topic "Parseval's Theorem"

1

FINE, JONATHAN. "A NOTE ON BRAIDS AND PARSEVAL'S THEOREM." Journal of Knot Theory and Its Ramifications 21, no. 05 (2012): 1250024. http://dx.doi.org/10.1142/s0218216511009546.

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In 1986 Falk and Randell, based on Arnold's 1969 paper on braids, proved that the pure braid groups are residually nilpotent. They also proved that the quotients in the lower central series are free abelian groups. This brief note uses an example to provide evidence for a much stronger conjectural statement: That each braid b can be written as an infinite sum [Formula: see text], where each bi is a linear function of the ith Vassiliev–Kontsevich Zi(b) invariant of b. The example is pure braids on two strands. This leads to solving eτ = q for τ a Laurent series in q. We set [Formula: see text]

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Melin, Jan O. "Interpreting ISAR Images by Means of Parseval's Theorem." IEEE Transactions on Antennas and Propagation 55, no. 2 (2007): 498–500. http://dx.doi.org/10.1109/tap.2006.889993.

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Bonatti, Ivanil S., Pedro L. D. Peres, and Amauri Lopes. "Velocity of Propagation in Transmission Lines." International Journal of Electrical Engineering & Education 35, no. 1 (1998): 79–86. http://dx.doi.org/10.1177/002072099803500107.

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This paper discusses the skin effect on lossy transmission lines in the context of undergraduate electrical engineering courses. A new definition for propagation time derived from Parseval's theorem is proposed. In lossless transmission lines the proposed definition produces the conventional results and for lossy lines it matches quite exactly with the time simulation results, as shown by an illustrative example.

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Han, Feng, Yao Lin Liu, Zhen Liu, and Hai Dong Zeng. "Comments on Errors of DFT Spectrum." Applied Mechanics and Materials 568-570 (June 2014): 189–92. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.189.

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Discrete Fourier transform (DFT/FFT) spectrums contain a variety of inherent errors in asynchronous sampling. Spectrum analysis with the accuracy above 10-3 are generally challenging issues. This work divides the DFT procedure into four signal transforms and exams six spectrum errors originated from these distortions. Besides the review of traditional errors, a so-called energy loss-gain (ELG) error is briefly introduced, which is proved to be a considerable error on the basis of Parseval's theorem. With the help of full error analysis mentioned here and the further development of analytical e

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Urbancic, T. I., C. I. Trifu, R. A. Mercer, A. J. Feustel, and J. A. G. Alexander. "Automatic time-domain calculation of source parameters for the analysis of induced seismicity." Bulletin of the Seismological Society of America 86, no. 5 (1996): 1627–33. http://dx.doi.org/10.1785/bssa0860051627.

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Abstract A time-domain methodology for the automatic (on-line) calculation of source parameters is introduced. The method is based on applying Parseval's theorem to the spectral equations proposed by Andrews (1986). The appropriateness of the technique for the analysis of induced seismicity was tested by comparing on-line values of seismic moment, seismic energy, and static stress drop with those obtained in the frequency domain (off-line) for an aftershock sequence of events recorded underground at Creighton mine, Ontario. Our analysis shows that the calculated on-line and off-line source par

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Liu, Yao Lin, Feng Han, Zhen Liu, and Min Chen Zhai. "Analysis of Energy Loss-Gain Error in Discrete Fourier Transform." Applied Mechanics and Materials 568-570 (June 2014): 172–75. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.172.

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In asynchronous sampling, discrete Fourier transform (DFT) spectrum involves errors. Scholars have done great investigations on the correction techniques of DFT spectrum, but the errors have not been completely eliminated all along. In this paper, spectrums were examined from the principle of conservation of energy. It is unnoticed before that the energy of the digital signal, which is the analysis object of DFT, isn't equal to that of the finite continuous signal truncated by rectangular window. Thus the energy of their spectrums are different according to the Parseval's theorem. The Energy L

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Karpov, Eduard G., Larry A. Danso, and John T. Klein. "Anomalous strain energy transformation pathways in mechanical metamaterials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2226 (2019): 20190041. http://dx.doi.org/10.1098/rspa.2019.0041.

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This discussion starts with a mechanics version of Parseval's energy theorem applicable to any discrete lattice material with periodic internal structure: a microtruss, grid, frame, origami or tessellation. It provides a simple relationship between the strain energy volumetric/usual and spectral distributions in the reciprocal space. The spectral energy distribution leads directly to a spectral entropy of lattice deformation (Shannon's type), whose variance with a material coordinate represents the decrease of information about surface loads in the material interior. Spectral entropy is also a

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PUTHANKATTIL, SUBHA D., and PAUL K. JOSEPH. "CLASSIFICATION OF EEG SIGNALS IN NORMAL AND DEPRESSION CONDITIONS BY ANN USING RWE AND SIGNAL ENTROPY." Journal of Mechanics in Medicine and Biology 12, no. 04 (2012): 1240019. http://dx.doi.org/10.1142/s0219519412400192.

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EEG is useful for the analysis of the functional activity of the brain and a detailed assessment of this non-stationary waveform can provide crucial parameters indicative of the mental state of patients. The complex nature of EEG signals calls for automated analysis using various signal processing methods. This paper attempts to classify the EEG signals of normal and depression patients using well-established signal processing techniques involving relative wavelet energy (RWE) and artificial feedForward neural network. High frequency noise present in the recorded signal is removed using total

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Bhatnagar, R. M. "Noise reduction in linear variable differential transformer data of recoil motion measurement by numerical methods." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 2 (2006): 159–66. http://dx.doi.org/10.1243/09544062jmes140.

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The measurement of recoil distance versus time by various methods such as the recoil potentiometer, photo electric transducer, slide wire, accelerometer, revolving drum system, and linear variable differential transformer (LVDT) has been used for gross muzzle brake efficiency measurements and recoil system performance evaluation by the calculation of recoil velocities. For a long recoil-length gun system, a combination of recoil potentiometer and LVDT is used extensively. In order to dispense with the use of recoil potentiometer in the above combination, the article proposes the use of the lea

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Hassanzadeh, Mohammad, and Behnam Shahrrava. "Linear Version of Parseval’s Theorem." IEEE Access 10 (2022): 27230–41. http://dx.doi.org/10.1109/access.2022.3157736.

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Dissertations / Theses on the topic "Parseval's Theorem"

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Grunden, Beverly K. "On the Characteristics of a Data-driven Multi-scale Frame Convergence Algorithm." Wright State University / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=wright1622208959661057.

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Hedayati, Mohammad Hassan. "Integrated CM Filter for Single-Phase and Three-Phase PWM Rectifiers." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3947.

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The use of insulated-gate bipolar transistor (IGBT)-based power converters is increasing exponentially. This is due to high performance of these devices in terms of efficiency and switching speed. However, due to the switching action, high frequency electromagnetic interference (EMI) noises are generated. Design of a power converter with reduced EMI noise level is one of the primary objectives of this research. The first part of the work focuses on designing common-mode (CM) filters, which can be integrated with differential-mode (DM) filters for three-phase pulse-width modulation (PWM) recti

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Hedayati, Mohammad Hassan. "Integrated CM Filter for Single-Phase and Three-Phase PWM Rectifiers." Thesis, 2015. http://etd.iisc.ernet.in/2005/3947.

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The use of insulated-gate bipolar transistor (IGBT)-based power converters is increasing exponentially. This is due to high performance of these devices in terms of efficiency and switching speed. However, due to the switching action, high frequency electromagnetic interference (EMI) noises are generated. Design of a power converter with reduced EMI noise level is one of the primary objectives of this research. The first part of the work focuses on designing common-mode (CM) filters, which can be integrated with differential-mode (DM) filters for three-phase pulse-width modulation (PWM) recti

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Guerra, Rita Catarina Correia. "Generalizations of the Fourier transform and their applications." Doctoral thesis, 2019. http://hdl.handle.net/10773/29813.

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In this thesis, we consider a new generalization of the Fourier transform, depending on four complex parameters and all the powers of the Fourier transform. This new transform is studied in some Lebesgue spaces. In fact, taking into account the values of the parameters of the operator, we can have very different kernels and so, the corresponding operator is studied in different Lebesgue spaces, accordingly with its kernel. We begin with the characterization of each operator by its characteristic polynomial. This characterization serves as a basis for the study of the forthcoming propert

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Book chapters on the topic "Parseval's Theorem"

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Weik, Martin H. "Parseval's theorem." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_13642.

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Weinmann, Alexander. "Optimierung eines linearen Reglers mittels des Parseval-Theorems." In Regelungen Analyse und technischer Entwurf. Springer Vienna, 1986. http://dx.doi.org/10.1007/978-3-7091-6994-0_13.

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Gutiérrez, A., E. Marcault, C. Alonso, J. P. Laur, and D. Trémouilles. "Parseval’s Theorem Used for the Inductor Analysis in High-Frequency Boost Converters." In Lecture Notes in Electrical Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56970-9_26.

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Dwivedi, Ankita, S. K. Singh, and R. K. Srivastava. "Analysis of Permanent Magnet Brushless AC Motor Using Two Dimensional Fourier Transform-Parseval’s Theorem." In Theory and Applications of Applied Electromagnetics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17269-9_20.

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Al-Sa’di, Sa’ud, and Eric S. Weber. "On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions." In New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76473-9_1.

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"Parseval’s Theorem." In Optimal Reference Shaping for Dynamical Systems. CRC Press, 2009. http://dx.doi.org/10.1201/9781439805633.ax3.

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Berber, Stevan. "Transforms of Deterministic Continuous-Time Signals." In Discrete Communication Systems. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198860792.003.0012.

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Chapter 12 presents a detailed analysis of continuous-time signals and systems in the frequency domain, including the theory of Fourier series and Fourier transforms, and key examples relevant for the analysis and synthesis of signals processed in the digital transceiver blocks of a communication system. The amplitude, magnitude, phase, and power spectra are defined and calculated for typical signals. In particular, the Fourier transform of periodic signals is presented, due to its importance in communication systems theory and practice. Using a unique notation that distinguishes energy and power signals, the correlation, power, and energy spectral density functions are inter-related by proving the Wiener–Khintchine theorem. A comprehensive analysis of a linear-time-invariant system, using the concepts of impulse response, system correlation function, and power spectral density, both for power signals and energy signals, is presented. In addition, Parseval’s theorem and the Rayleigh theorem are proven.

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Allahverdiev, Bilender P., and Hüseyin Tuna. "The Parseval Equality and Expansion Formula for Singular Hahn-Dirac System." In Emerging Applications of Differential Equations and Game Theory. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-0134-4.ch010.

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This work studies the singular Hahn-Dirac system given by Here 𝜇 is a complex spectral parameter, p(.) and r(.) are real-valued continuous functions at 𝜔0, defined on [𝜔0,∞) and q∈(0,1), , 𝜔>0, x∈[𝜔0,∞). The existence of a spectral function for this system is proved. Further, a Parseval equality and an expansion formula in eigenfunctions are proved in terms of the spectral function.

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Conference papers on the topic "Parseval's Theorem"

1

Frieden, B. Roy. "Probability-law estimation by a principle of minimum physical information." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.tudd5.

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A principle I–J = min. of minimum Fisher information I = ∫dxp'2(x)/p(x) is often used to estimate an unknown probability density function p(x) in the presence of insufficient information J. The latter is conventionally a Lagrange constraint term. The resulting estimate p(x) may or may not be correct (where there is a "correct" answer), although it is smooth. But suppose the correct answer is required and the user has the resources to choose the particular information J to input. What form J should be chosen, and what form should I – J ≡K take, where K is the "physical" information? The choice

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2

BOZOVIC, DUBRAVKA, and NENAD POPOVICH. "Submarine Optimal Depth Control applying Parseval s Theorem." In Fourth International Conference on Advances in Mechanical and Automation Engineering - MAE 2016. Institute of Research Engineers and Doctors, 2016. http://dx.doi.org/10.15224/978-1-63248-102-3-41.

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Malhotra, Hari Krishan, and Lalit Kumar Vashisht. "Construction of Non-Uniform Parseval Wavelet Frames for L2 (R) via UEP." In 2019 13th International conference on Sampling Theory and Applications (SampTA). IEEE, 2019. http://dx.doi.org/10.1109/sampta45681.2019.9030867.

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Clark, J. P., and E. A. Grover. "Assessing Convergence in Predictions of Periodic-Unsteady Flowfields." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90735.

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Predictions of time-resolved flowfields are now commonplace within the gas-turbine industry, and the results of such simulations are often used to make design decisions during the development of new products. Hence it is necessary for design engineers to have a robust method to determine the level of convergence in design predictions. Here we report on a method developed to determine the level of convergence in a predicted flowfield that is characterized by periodic-unsteadiness. The method relies on fundamental concepts from digital signal processing including the discrete Fourier transform,

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