3 articles for “Least Squares Inverse”

Set a search alert

Research ArticleOpen accessIn the keywordsA Novel Approach for Testing Stability of 1-D Recursive Digital Filters Based on Lagrange MultipliersK. R. Santhi, N. Gangatharan, M. PonnavaikkoDigital filters have found their way into many products from every day consumer items such as mobile phones to advanced maritime and military communications and avionics systems. Design of digital filters faces two fundamental problems, their stability and synthesis. Recursive filters have more stability problems than nonrecursive filters. Stability of a filter can be determined by the location of the … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 6,484 accessesView PDF Cite

Research ArticleOpen accessIn the abstractTwo-Stage Estimation in Inverse Problems using Combined Wavelet Thresholding and Penalized Maximum LikelihoodRobert G Aykroyd, Hassan AljohaniInverse problems occur in a wide range of practical scientific investigations where the variables of interest are only observed indirectly, such as magnetic and seismic imaging in geophysics, electrical tomography in industrial process monitoring, or PET scanning in medicine. Linear inverse problems can be thought of as highly multivariate regression problems with strong multicollinearity where the aim is to interpret … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 29 Sep 2017 · 7,925 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn Overview of Modified Shanks’ Conjecture and Comments on its ValidityN. Gangatharan, T.C. ChuahThis study reports the validity of the modified Shanks’ conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. A theoretical procedure proposed based on the Lagrange multiplier method of mathematical optimization. The results indicate that the modified Shanks’ conjecture reported by Jury was valid for special classes of 2-D polynomials. …American Journal of Applied Sciences, Vol. 4, Issue 4 · 30 Apr 2007 · 7,035 accessesView PDF Cite