Relevant bibliographies by topics / Orthogonal function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Orthogonal function'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Orthogonal function"

1

Carballosa, W., J. C. Hernandez-Gomez, L. R. Pineiro, and Jose M. Sigarreta. "Generating function: multiple orthogonal polynomials." Applied Mathematical Sciences 10 (2016): 761–72. http://dx.doi.org/10.12988/ams.2016.510669.

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Jin, Chong, Hong Wang, and Xiao Zhou Xia. "A Useful Curve Fitting Method for Concrete Uniaxial Compressive Experiment Data." Advanced Materials Research 291-294 (July 2011): 1015–20. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.1015.

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Based on the superiority avoiding the matrix equation to be morbid for those fitting functions constructed by orthogonal base, the Legendre orthogonal polynomial is adopted to fit the experimental data of concrete uniaxial compression stress-strain curves under the frame of least-square. With the help of FORTRAN programming, 3 series of experimental data is fitted. And the fitting effect is very satisfactory when the item number of orthogonal base is not less than 5. What’s more, compared with those piecewise fitting functions, the Legendre orthogonal polynomial fitting function obtained can b
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Hameed, Vazeerudeen Abdul. "Orthogonal Moment Invariant Function for Image Processing." Journal of Computational and Theoretical Nanoscience 16, no. 8 (2019): 3400–3403. http://dx.doi.org/10.1166/jctn.2019.8299.

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Orthogonal moments are of great importance in image processing due to their high discriminatory capability. Orthogonal moment invariant functions like Legendre moments and Complex Zernike moments are known for high computational complexity and/or they are complex valued. This paper presents a new orthogonal moment function that is real valued. The formulation is appraised to prove that it is computationally less complex when compared to the existing moment functions. The proposed orthogonal moment functions are appraised over their reversible nature to obtain the original data. The new moment
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YANG, SHOUZHI, and CHANGZHEN XIE. "A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 06 (2008): 883–94. http://dx.doi.org/10.1142/s0219691308002653.

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In this paper, an algorithm for constructing a class of orthogonal two-direction refinable functions and the corresponding orthogonal two-direction wavelets is obtained. In addition, the relation of both two-direction refinable functions and multiwavelets is discussed. We discover that Chui–Lian's orthogonal symmetric/antisymmetric multiscaling functions and the corresponding multiwavelets can be recovered by using an orthogonal two-direction refinable function and the corresponding two-direction wavelets, respectively. Finally, some construction examples are given.
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Peng, Kai. "The Application of Sets of Orthogonal Function to Signal Analyses." Applied Mechanics and Materials 380-384 (August 2013): 3613–17. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.3613.

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Generally speaking, the method of signal analysis is built on the basis that signal decomposition is an orthogonal component. There are different selection ways for the sets of orthogonal functions after transformation and the transformation of orthogonal functions does not affect expressed functions themselves. Aiming at different requirements for application, different sets of orthogonal functions need to be used. This thesis not only studies classical and modern sets of orthogonal functions Fourier and wavelet sequence but also proposes prospects for the new application of the sets of ortho
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Bakulin, Vladimir, and Victor Revenko. "Computational method for solving boundary value problems of mechanics deformable body using non-orthogonal functions." MATEC Web of Conferences 362 (2022): 01002. http://dx.doi.org/10.1051/matecconf/202236201002.

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In this paper a complete system of non-orthogonal functions was built on the basis of orthogonal sines and cosines. It is shown that the known orthogonal systems of functions are a degenerate case of non-orthogonal systems of functions. It has been proven that the continuous function can be approximated non-orthogonal functions in such a way that one selected nonorthogonal function will not included in this amount. The boundary value problem of the elasticity theory has been considered for an inhomogeneous plate. A new method for solving the boundary value problem is developed for the fourth-o
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Revenko, V. P. "Computational method for solving boundary problems of the theory of elasticity using non-orthogonal systems of functions." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 3 (2021): 101–6. http://dx.doi.org/10.17721/1812-5409.2021/3.19.

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A complete system of functions based on non-orthogonal sinuses and cosine was constructed. It has been proven that the continuous function can be approximated by a finite number of non-orthogonal functions in such a way that this amount does not enter the selected function of the non-orthogonal base. The numerical experiment confirmed the high accuracy of approximations of continuous functions by a small number of non-orthogonal functions. The flat problem of the theory of elasticity for the plate with variable elastic characteristics is considered. This equation is simplified when the charact
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Wanegar, Daniel F., and Ofodike A. Ezekoye. "Orthogonal function extension to enclosure theory." Journal of Quantitative Spectroscopy and Radiative Transfer 224 (February 2019): 272–78. http://dx.doi.org/10.1016/j.jqsrt.2018.11.005.

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Liu, Wang Sheng, Yan Sun, Guo Dong Shi, and Xing Long Liu. "Research on Pneumatic Performance of Aero-Engine Blades through Function Method." Advanced Materials Research 605-607 (December 2012): 1326–29. http://dx.doi.org/10.4028/www.scientific.net/amr.605-607.1326.

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When we research on pneumatic performance of aero-engine blades,some functions are not solved directly in physical domain because blade coordinates are unknown,but they can be solved after being transformed to computational domain.For potential function and stream function have the orthogonality themselves,mesh of computational domain is orthogonal after orthogonal transformation and the functions are solved easily.The existence conditions are two-dimensional flow continuity equations.If fluid is irrotational and powerful flow,potential function and stream function are both usesd to describe f
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Nikolic, Sasa S., Miroslav B. Milovanovic, Nikola B. Dankovic, et al. "Identification of Nonlinear Systems Using the Hammerstein-Wiener Model with Improved Orthogonal Functions." Elektronika ir Elektrotechnika 29, no. 2 (2023): 4–11. http://dx.doi.org/10.5755/j02.eie.33838.

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Hammerstein-Wiener systems present a structure consisting of three serial cascade blocks. Two are static nonlinearities, which can be described with nonlinear functions. The third block represents a linear dynamic component placed between the first two blocks. Some of the common linear model structures include a rational-type transfer function, orthogonal rational functions (ORF), finite impulse response (FIR), autoregressive with extra input (ARX), autoregressive moving average with exogenous inputs model (ARMAX), and output-error (O-E) model structure. This paper presents a new structure, an
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Dissertations / Theses on the topic "Orthogonal function"

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Qishan, Zhang. "THE BRIDGE FUNCTION TELEMETRY SYSTEM." International Foundation for Telemetering, 1991. http://hdl.handle.net/10150/612183.

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International Telemetering Conference Proceedings / November 04-07, 1991 / Riviera Hotel and Convention Center, Las Vegas, Nevada<br>Based on the theory of orthogonality, two orthogonal multiplex systems called frequency division multiplexing (FDM) and time division multiplexing (TDM) have long been developed. Therefore, many people tend to think that these two systems represent the ONLY two multiplexing methods that satisfy the orthogonal condition. However, after years of research, we've discovered a new kind of orthogonal functions called Bridge functions. The Bridge functions have
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Qishan, Zhang, Zhang Wenguan, and Mu Zhiying. "THE APPLICATION OF ORTHOGONAL FUNCTION TO MULTIPLEX." International Foundation for Telemetering, 1985. http://hdl.handle.net/10150/615706.

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International Telemetering Conference Proceedings / October 28-31, 1985 / Riviera Hotel, Las Vegas, Nevada<br>A unified approach to the multiplex is proposed in terms of the orthogonal functions. It is called quadrature division multiplex, or Q D M in short. The orthogonal function is essential to the multiplex. Except these functions mentioned above, there are other orthogonal functions which are suitable for engineering practice. The orthogonality of the functions is used for the division of signals. A block diagram of Q D M is briefly described. The perfomances of the Q D M system are anal
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Le, Thu Hoai. "Hyperholomorphic structures and corresponding explicit orthogonal function systems in 3D and 4D." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-150508.

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Die Reichhaltigkeit und breite Anwendbarkeit der Theorie der holomorphen Funktionen in der komplexen Ebene ist stark motivierend eine ähnliche Theorie für höhere Dimensionen zu entwickeln. Viele Forscher waren und sind in diese Aufgaben involviert, insbesondere in der Entwicklung der Quaternionenanalysis. In den letzten Jahren wurde die Quaternionenanalysis bereits erfolgreich auf eine Vielzahl von Problemen der mathematischen Physik angewandt. Das Ziel der Dissertation besteht darin, holomorphe Strukturen in höheren Dimensionen zu studieren. Zunächst wird ein neues Holomorphiekonzept vorgeleg
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Gishe, Jemal Emina. "A finite family of q-orthogonal polynomials and resultants of Chebyshev polynomials." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001620.

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Schwiegerling, Jim. "Diffraction efficiency and aberrations of diffractive elements obtained from orthogonal expansion of the point spread function." SPIE-INT SOC OPTICAL ENGINEERING, 2016. http://hdl.handle.net/10150/622533.

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The Point Spread Function (PSF) indirectly encodes the wavefront aberrations of an optical system and therefore is a metric of the system performance. Analysis of the PSF properties is useful in the case of diffractive optics where the wavefront emerging from the exit pupil is not necessarily continuous and consequently not well represented by traditional wavefront error descriptors such as Zernike polynomials. The discontinuities in the wavefront from diffractive optics occur in cases where step heights in the element are not multiples of the illumination wavelength. Examples include binary o
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Devasthale, Abhay, Karl-Göran Karlsson, Johannes Quaas, and Hartmut Graßl. "Correcting orbital drift signal in the time series of AVHRR derived convective cloud fraction using rotated empirical orthogonal function: Correcting orbital drift signal in the time series of AVHRR derivedconvective cloud fraction using rotated empirical orthogonal function." Copernicus Publications, 2012. https://ul.qucosa.de/id/qucosa%3A13465.

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The Advanced Very High Resolution Radiometer (AVHRR) instruments onboard the series of National Oceanic and Atmospheric Administration (NOAA) satellites offer the longest available meteorological data records from space. These satellites have drifted in orbit resulting in shifts in the local time sampling during the life span of the sensors onboard. Depending upon the amplitude of the diurnal cycle of the geophysical parameters derived, orbital drift may cause spurious trends in their time series. We investigate tropical deep convective clouds, which show pronounced diurnal cycle amplitude, to
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Vecchione, Stefano Verfasser], та Georg [Akademischer Betreuer] [Fritz. "Development of novel orthogonal genetic circuits, based on extracytoplasmic function (ECF) σ factors / Stefano Vecchione ; Betreuer: Georg Fritz". Marburg : Philipps-Universität Marburg, 2020. http://d-nb.info/1208390988/34.

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Choy, Jaeyoo. "Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/198873.

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Devasthale, Abhay, Karl-Göran Karlsson, Johannes Quaas, and Hartmut Graßl. "Correcting orbital drift signal in the time series of AVHRR derived convective cloud fraction using rotated empirical orthogonal function." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-177609.

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The Advanced Very High Resolution Radiometer (AVHRR) instruments onboard the series of National Oceanic and Atmospheric Administration (NOAA) satellites offer the longest available meteorological data records from space. These satellites have drifted in orbit resulting in shifts in the local time sampling during the life span of the sensors onboard. Depending upon the amplitude of the diurnal cycle of the geophysical parameters derived, orbital drift may cause spurious trends in their time series. We investigate tropical deep convective clouds, which show pronounced diurnal cycle amplitude, to
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Findley, Elliot M. "Christoffel Function Asymptotics and Universality for Szegő Weights in the Complex Plane." Scholar Commons, 2009. https://scholarcommons.usf.edu/etd/1965.

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In 1991, A. Máté precisely calculated the first-order asymptotic behavior of the sequence of Christoffel functions associated with Szego measures on the unit circle. Our principal goal is the abstraction of his result in two directions: We compute the translated asymptotics, limn λn(µ, x + a/n), and obtain, as a corollary, a universality limit for the fairly broad class of Szego weights. Finally, we prove Máté’s result for measures supported on smooth curves in the plane. Our proof of the latter derives, in part, from a precise estimate of certain weighted means of the Faber polynomials associ
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Books on the topic "Orthogonal function"

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Billings, S. A. Dual-orthogonal radial basis function networks for nonlinear time series prediction. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1996.

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Zhu, Q. M. Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1994.

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Ross, Phillip J. Taguchi techniques for quality engineering: Loss function, orthogonal experiments, parameter and tolerance design. 2nd ed. McGraw-Hill, 1996.

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Billings, S. A. Radial basis function network configuration using mutual information and the orthogonal least squares algorithm. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1995.

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Sansone, Giovanni. Orthogonal functions. Dover Publications, 2004.

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Sansone, Giovanni. Orthogonal functions. Dover, 1991.

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1968-, Arvesú Jorge, and Lopez Lagomasino Guillermo 1948-, eds. Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain. American Mathematical Society, 2012.

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Adhemar, Bultheel, ed. Orthogonal rational functions. Cambridge University Press, 1999.

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García-Ardila, Juan Carlos. Orthogonal polynomials and linear functionals: An algebraic approach and applications. EMS Press, 2021.

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M, Mohan B., ed. Orthogonal functions in systems and control. World Scientific, 1995.

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Book chapters on the topic "Orthogonal function"

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Tcheutia, Daniel Duviol. "The Gamma Function." In Orthogonal Polynomials. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36744-2_9.

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Rahman, Mizan. "Some Extensions of the Beta Integral and the Hypergeometric Function." In Orthogonal Polynomials. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0501-6_15.

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Penner, Alvin. "Least Squares Orthogonal Distance Fitting." In Fitting Splines to a Parametric Function. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12551-6_2.

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Móicz, Ferenc. "Constructive Function Theory: I. Orthogonal Series." In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30721-1_2.

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Deb, Anish, Srimanti Roychoudhury, and Gautam Sarkar. "Function Approximation via Hybrid Functions." In Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26684-8_3.

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Gasquet, Claude, and Patrick Witomski. "Expanding a Function in an Orthogonal Basis." In Texts in Applied Mathematics. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1598-1_6.

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Freeden, Willi, M. Zuhair Nashed, and Michael Schreiner. "Non-Orthogonal Up Function Multiscale Tree Sampling." In Spherical Sampling. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71458-5_16.

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Deaño, Alfredo. "Special Function Solutions of Painlevé Equations: Theory, Asymptotics and Applications." In Orthogonal Polynomials: Current Trends and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56190-1_4.

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Petras, Knut. "Positivity of Gauss-Kronrod Formulae for a Certain Ultraspherical Weight Function." In Applications and Computation of Orthogonal Polynomials. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8685-7_14.

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Cuzzolin, Fabio. "On the Orthogonal Projection of a Belief Function." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75256-1_33.

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Conference papers on the topic "Orthogonal function"

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Yan, Xinda, Zhiyu Chen, Jianou Huang, and Eduward Tangdiongga. "Reconfigurable Networks for Indoor Optical Wireless Communications using Polarization-Controlled Dual-Function Metasurfaces." In Optical Fiber Communication Conference. Optica Publishing Group, 2025. https://doi.org/10.1364/ofc.2025.w1h.2.

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We designed and fabricated metasurfaces acting as a Dammann vortex grating or a mirror at two orthogonal polarizations. The metasurface concurrently supports both optical MUX/ DEMUX and routing, paving the way for reconfigurable indoor OWC networks.
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Hong, Xiaoping, Shan Wang, Jingzhou Zeng, Hongyu Cui, and Yunfeng Han. "Improved Doppler Scale Estimation Based on Autocorrelation Function for Underwater Cyclic Prefix-Orthogonal Frequency Division Multiplexing Preamble." In 2024 OES China Ocean Acoustics (COA). IEEE, 2024. http://dx.doi.org/10.1109/coa58979.2024.10723572.

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Zhou, Yongquan, Xueyan Lu, Zhucheng Xie, and Bai Liu. "An Orthogonal Functional Network for Function Approximation." In 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2008. http://dx.doi.org/10.1109/icicta.2008.164.

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Jianfeng Weng. "Reconstructing a Band-limited function Using Empirical Orthogonal Functions." In 2006 IEEE Instrumentation and Measurement Technology. IEEE, 2006. http://dx.doi.org/10.1109/imtc.2006.236399.

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Weng, Jianfeng. "Reconstructing a Band-limited function Using Empirical Orthogonal Functions." In 2006 IEEE Instrumentation and Measurement Technology. IEEE, 2006. http://dx.doi.org/10.1109/imtc.2006.328604.

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Morelli, Eugene A. "Transfer Function Identification using Orthogonal Fourier Transform Modeling Functions." In AIAA Atmospheric Flight Mechanics (AFM) Conference. American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-4749.

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Qian, S., Y. C. Lee, R. D. Jones, C. W. Barnes, and K. Lee. "Function approximation with an orthogonal basis net." In 1990 IJCNN International Joint Conference on Neural Networks. IEEE, 1990. http://dx.doi.org/10.1109/ijcnn.1990.137906.

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Guo-Chang Wu and Zheng-Xing CHeng. "Classifying 3-band cardinal orthogonal scaling function." In 2009 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR). IEEE, 2009. http://dx.doi.org/10.1109/icwapr.2009.5207471.

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Gao, Xiaobing, and Bingnan Pei. "Ambiguous function analysis for orthogonal FDLFM radar signals." In 2011 International Conference on Electrical and Control Engineering (ICECE). IEEE, 2011. http://dx.doi.org/10.1109/iceceng.2011.6057809.

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Wang, Jun-min, and Guo-chang Wu. "Constructing 3-Band Symmetric Cardinal Orthogonal Scaling Function." In 2009 First International Conference on Information Science and Engineering. IEEE, 2009. http://dx.doi.org/10.1109/icise.2009.421.

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Reports on the topic "Orthogonal function"

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Afsari, Bijan, and P. S. Krishnaprasad. A Novel Non-Orthogonal Joint Diagonalization Cost Function for ICA. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada440311.

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Ben-David, Avishai, Benjamin M. Herman, and John A. Reagon. The Inverse Problem and the Pseudo-Empirical Orthogonal Function Method of Solution. Part 1. Theory. Part 2. Application. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada188894.

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Campbell, Stephen L., and Kevin D. Yeomans. Solving Singular Systems Using Orthogonal Functions. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada190881.

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Rivera, John Paolo, and Tereso Jr Tullao. Inclusivity of Factor Flows in a Labor-Surplus Economy: Experience of the Philippines. Philippine Institute for Development Studies, 2023. http://dx.doi.org/10.62986/dp2023.32.

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Under the assumption of full employment, this study probed the impact of labor emigration on wages, employment, and production in the capital- and labor-intensive sectors of the Philippines, represented by manufacturing and agriculture, respectively. It investigated whether deployment, remittances, and foreign direct investment (FDI) flows are inclusive, given the consequential employment opportunities for unemployed resources left behind, specifically unskilled workers that are biased towards the employment of labor and the production of labor-intensive goods. Subjecting Philippine data from
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Pfeffer, Richard L. AASERT93- Weather Analysis and Prediction Using Empirical Orthogonal Functions. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada315315.

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Braunschweig, Adam B. Inducing the Formation of Functional Macroscopic Assemblies Through Programmed Orthogonal Supramolecular Interactions. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada606875.

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Braunschweig, Adam B. Inducing the Formation of Functional Macroscopic Assemblies Through Programmed Orthogonal Supramolecular Interactions. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada607789.

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Schafer, Ingo. Orthogonal and Nonorthogonal Expansions for Multi-Level Logic Synthesis for Nearly Linear Functions and their Application to Field Programmable Gate Array Mapping. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.1338.

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Calafat, Francisco Mir, Thomas Frederikse, and Kevin Horsburgh. Mediterranean trend and acceleration sea-level estimates. EuroSea, 2023. http://dx.doi.org/10.3289/eurosea_d5.2_v2.

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Sea-level change is geographically non-uniform, with regional departures that can reach several times the global average rate of change. Characterizing this spatial variability and understanding its causes is crucial to the design of adaptation strategies for sea-level rise. This, as it turns out, is no easy feat, primarily due to the sparseness of the observational sea-level record in time and space. Long tide gauge records are restricted to a few locations along the coast. Satellite altimetry offers a better spatial coverage but only since 1992. In the Mediterranean Sea, the tide gauge netwo
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