Relevant bibliographies by topics / Signal processing Eigenfunctions

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Signal processing Eigenfunctions'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Signal processing Eigenfunctions"

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SINGER, ANDREW C., and ALAN V. OPPENHEIM. "CIRCUIT IMPLEMENTATIONS OF SOLITON SYSTEMS." International Journal of Bifurcation and Chaos 09, no. 04 (1999): 571–90. http://dx.doi.org/10.1142/s0218127499000419.

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Recently, a large class of nonlinear systems which possess soliton solutions has been discovered for which exact analytic solutions can be found. Solitons are eigenfunctions of these systems which satisfy a form of superposition and display rich signal dynamics as they interact. In this paper, we view solitons as signals and consider exploiting these systems as specialized signal processors which are naturally suited to a number of complex signal processing tasks. New circuit models are presented for two soliton systems, the Toda lattice and the discrete-KdV equations. These analog circuits can generate and process soliton signals and can be used as multiplexers and demultiplexers in a number of potential soliton-based wireless communication applications discussed in [Singer et al.]. A hardware implementation of the Toda lattice circuit is presented, along with a detailed analysis of the dynamics of the system in the presence of additive Gaussian noise. This circuit model appears to be the first such circuit sufficiently accurate to demonstrate true overtaking soliton collisions with a small number of nodes. The discrete-KdV equation, which was largely ignored for having no prior electrical or mechanical analog, provides a convenient means for processing discrete-time soliton signals.
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Xu, Ji Jun, and Tao Liu. "Discrete Linear Canonical Feature Research of Chirp Signal." Applied Mechanics and Materials 401-403 (September 2013): 1362–67. http://dx.doi.org/10.4028/www.scientific.net/amm.401-403.1362.

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The Chirp signal has many advantages that widely applied in communication, sonar, radar and other information processing fields as a common pulse compressional signal. The paper brought out an expression of the kernel of the Linear Canonical Transform (LCT) using its eigenfunctions. According to new expression, LCT can be expressed in terms of a new definition. Based on principle of sampling in time and LCT domains, a new definition of Discrete Linear Canonical Transform (DLCT) was put forward. The paper then proposed how to calculate DLCT of chirp signal in accordance with this new definition. Compared with other algorithms presented recently, it has more approximate results of continuous LCT.
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AL-Gawagzeh, Mohammed Yousef. "Determination the Modes Characteristics in the Complex Cross-Section Waveguides." International Journal of Circuits, Systems and Signal Processing 14 (January 12, 2021): 1103–6. http://dx.doi.org/10.46300/9106.2020.14.138.

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In this research the Expressions that determine the eigenfunctions and modes eigenvalues in waveguides with a composite sectorial cross-section are obtained. The possibility of characteristics changing for eigenvalues by changing the parameters that characterizing the cross-sectional shape was studied. The field modes of waveguide based on Ritz method was analyzed.it was determined the characteristics of the quasi – H_mn modes in a cruciform sector waveguide, and quasi – H_mn modes in a composite sector waveguide with an arbitrary number of sectors.it was also shown the advantage of using the cross-section waveguide in single mode optical fiber wavelength range. The eigenvalues (χ) and the normalized coefficients (a )for quasi – H_mn modes in terms of Bessel functions (Q_m,P_m ) and their combinations was obtained.
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Grünbaum, F. Alberto, Inés Pacharoni, and Ignacio Zurrián. "Bispectrality and Time–Band Limiting: Matrix-valued Polynomials." International Mathematics Research Notices 2020, no. 13 (2018): 4016–36. http://dx.doi.org/10.1093/imrn/rny140.

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Abstract The subject of time–band limiting, originating in signal processing, is dominated by the miracle that a naturally appearing integral operator admits a commuting differential one allowing for a numerically efficient way to compute its eigenfunctions. Bispectrality is an effort to dig into the reasons behind this miracle and goes back to joint work with H. Duistermaat. This search has revealed unexpected connections with several parts of mathematics, including integrable systems. Here we consider a matrix-valued version of bispectrality and give a general condition under which we can display a constructive and simple way to obtain the commuting differential operator. Furthermore, we build an operator that commutes with both the time-limiting operator and the band-limiting operators.
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Antunes, Pedro R. S. "Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain." Inverse Problems 32, no. 11 (2016): 115003. http://dx.doi.org/10.1088/0266-5611/32/11/115003.

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Shen, Chao-Liang. "The nodal sets of the eigenfunctions of a nonhomogeneous square membrane." Inverse Problems 24, no. 5 (2008): 055007. http://dx.doi.org/10.1088/0266-5611/24/5/055007.

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Lin, Tim T., and Felix J. Herrmann. "Compressed wavefield extrapolation." GEOPHYSICS 72, no. 5 (2007): SM77—SM93. http://dx.doi.org/10.1190/1.2750716.

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An explicit algorithm for the extrapolation of one-way wavefields is proposed that combines recent developments in information theory and theoretical signal processing with the physics of wave propagation. Because of excessive memory requirements, explicit formulations for wave propagation have proven to be a challenge in 3D. By using ideas from compressed sensing, we are able to formulate the (inverse) wavefield extrapolation problem on small subsets of the data volume, thereby reducing the size of the operators. Compressed sensing entails a new paradigm for signal recovery that provides conditions under which signals can be recovered from incomplete samplings by nonlinear recovery methods that promote sparsity of the to-be-recovered signal. According to this theory, signals can be successfully recovered when the measurement basis is incoherent with the representa-tion in which the wavefield is sparse. In this new approach, the eigenfunctions of the Helmholtz operator are recognized as a basis that is incoherent with curvelets that are known to compress seismic wavefields. By casting the wavefield extrapolation problem in this framework, wavefields can be successfully extrapolated in the modal domain, despite evanescent wave modes. The degree to which the wavefield can be recovered depends on the number of missing (evanescent) wavemodes and on the complexity of the wavefield. A proof of principle for the compressed sensing method is given for inverse wavefield extrapolation in 2D, together with a pathway to 3D during which the multiscale and multiangular properties of curvelets, in relation to the Helmholz operator, are exploited. The results show that our method is stable, has reduced dip limitations, and handles evanescent waves in inverse extrapolation.
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Blåsten, Eemeli, Xiaofei Li, Hongyu Liu, and Yuliang Wang. "On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study." Inverse Problems 33, no. 10 (2017): 105001. http://dx.doi.org/10.1088/1361-6420/aa8826.

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Kaup, D. J., and Jianke Yang. "The inverse scattering transform and squared eigenfunctions for a degenerate 3 × 3 operator." Inverse Problems 25, no. 10 (2009): 105010. http://dx.doi.org/10.1088/0266-5611/25/10/105010.

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Peter, Thomas, and Gerlind Plonka. "A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators." Inverse Problems 29, no. 2 (2013): 025001. http://dx.doi.org/10.1088/0266-5611/29/2/025001.

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Dissertations / Theses on the topic "Signal processing Eigenfunctions"

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Fung, Carrson Chee-Ho. "Eigensystem based techniques for blind channel estimation and equalization /." View abstract or full-text, 2005. http://library.ust.hk/cgi/db/thesis.pl?ELEC%202005%20FUNG.

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Conference papers on the topic "Signal processing Eigenfunctions"

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Serbes, Ahmet, Sultan Aldirmaz, and Lutfiye Durak-Ata. "Eigenfunctions of the linear canonical transform." In 2012 20th Signal Processing and Communications Applications Conference (SIU). IEEE, 2012. http://dx.doi.org/10.1109/siu.2012.6204688.

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Paldi, E., and A. Nehorai. "Exact nonlinear filtering via Gauss transform eigenfunctions." In [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1991. http://dx.doi.org/10.1109/icassp.1991.150181.

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Pei, Soo-Chang, and Chun-Lin Liu. "A general form of 2D Fourier transform eigenfunctions." In ICASSP 2012 - 2012 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2012. http://dx.doi.org/10.1109/icassp.2012.6288720.

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Vora, Kushan, Saeid Bashash, and Nader Jalili. "Modeling and Forced Vibration Analysis of Rod-Like Solid-State Actuators." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2277.

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Solid-state smart actuators are widely utilized in a variety of micro and nano-positioning applications. Most of today’s modeling frameworks adopt lumped-parameter representation for system dynamics due to its more straightforward analysis and control. In this article, a distributed-parameters rod-like configuration is considered for free and forced motion analysis of structure. To include the effects of widely-used flexural mechanisms, a mass-spring-damper boundary condition is considered for the system. Moreover, the effect of electromechanical actuation is included as a concentrated force at the boundary. The problem is then divided into two parts: first part deals with free motion analysis of system to obtain eigenvalues and eigenfunctions using the expansion theorem and a standard eigenvalue problem procedure. The effects of different boundary mass and spring values on the natural frequencies and mode shapes are demonstrated, which indicate their significant contribution to system dynamical properties. In the second part, forced motion analysis of system and its state-space conversion tools are presented. It is shown that distributed-parameters modeling is inevitable when precision high frequency motions are demanded. This can enhance control bandwidth and performance of rod-like solid-state actuators such as piezoelectric and magnetostrictive positioners with moving to next generation digital signal processing systems which enable ultrahigh-frequency sampling rates.
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Everson, R., P. Cornillon, L. Sirovich, and A. Webber. "Empirical eigenfunction analysis of sea surface temperatures in the Western North Atlantic." In Chaotic, fractal, and nonlinear signal processing. AIP, 1996. http://dx.doi.org/10.1063/1.50998.

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Elahi, Usama, Zubair Khalid, and Rodney A. Kennedy-A. "Spatially Constrained Anti-Aliasing Filter Using Slepian Eigenfunction Window on the Sphere." In 2018 12th International Conference on Signal Processing and Communication Systems (ICSPCS). IEEE, 2018. http://dx.doi.org/10.1109/icspcs.2018.8631750.

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Khalid, Zubair, and Rodney A. Kennedy. "Iterative method to compute the maximal concentration Slepian band-limited eigenfunction on the sphere." In 2014 8th International Conference on Signal Processing and Communication Systems (ICSPCS). IEEE, 2014. http://dx.doi.org/10.1109/icspcs.2014.7021061.

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Shishegar, Rosita, Hamid Soltanian-Zadeh, and Farhad Tehranipour. "Statistical shape analysis of hippocampus in temporal lobe epilepsy based on Laplace-Beltrami eigenfunction level sets." In 2012 16th CSI International Symposium on Artificial Intelligence and Signal Processing (AISP). IEEE, 2012. http://dx.doi.org/10.1109/aisp.2012.6313774.

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