SSPS swMATH ID: 13163 Software Authors: Sarra, Scott A. Description: The Spectral Signal Processing Suite (SSPS), version 1.0, is for the purpose of increasing the accuracy of discrete Chebyshev approximations of discontinuous functions by reducing or eliminating the Gibbs-Wilbraham phenomenon. The suite may be used to implement a postprocessing method for the Chebyshev Collocation (Pseudospectral) or Chebyshev Spectral Viscosity methods for solving Partial Differential Equations. The suite implements spectral filtering, edge detection, and Gegenbauer Reconstruction postprocessing algorithms. The Spectral Signal Processing Library is written the Java programming language and has a graphical user interface which conveniently wraps the numerical classes and provides a graphical examination of the edge detection and postprocessing process. All source code is freely available and the library may be used in any way that is desired as long as links/references to this page are clearly provided in any work which uses the library or in any software that incorporates or extends the Spectral Signal Processing Suite. The Spectral Signal Processing Suite comes with absolutely no warranty of any kind. Bug reports and coding suggestions are welcome and should be sent to scott@ScottSarra.org. Descriptions of the algorithms implemented in the software and examples using the software can be found in the paper The Spectral Signal Processing Suite which appears in the ACM Transactions on Mathematical Software, vol. 29, no. 2, June 2003. Homepage: http://www.scottsarra.org/signal/signal.html Keywords: Chebyshev approximations; discontinuous functions; Chebyshev collocation; Chebyshev super spectral viscosity approximations; Gegenbauer reconstruction; software package; Gibbs phenomenon Related Software: Matlab Cited in: 5 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The spectral signal processing suite. Zbl 1072.65134Sarra, Scott A. 2003 Cited by 2 Authors 3 Sarra, Scott A. 2 Boyd, John Philip Cited in 4 Serials 2 Journal of Computational Physics 1 Computers & Mathematics with Applications 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation Cited in 5 Fields 4 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year