2 citations · 2 across the 5 of their papers we have counts for
7 papers
Wavelets for using Zernike polynomials
Somantika Datta, Kanti B. Datta
A set of orthogonal polynomials on the unit disk known as Zernike polynomials are commonly used in the analysis and evaluation of optical systems. Here Zernike polynomials…
Application of Zernike polynomials in solving certain first and second order partial differential equations
Kanti Bhushan Datta, Somantika Datta
Integration operational matrix methods based on Zernike polynomials are used to determine approximate solutions of a class of non-homogeneous partial differential equations (PDEs)…
Low coherence unit norm tight frames
Somantika Datta, Jesse Oldroyd
Equiangular tight frames (ETFs) have found significant applications in signal processing and coding theory due to their robustness to noise and transmission losses. ETFs are charac…
Construction of k-angle tight frames
Somantika Datta, Jesse Oldroyd
Frames have become standard tools in signal processing due to their robustness to transmission errors and their resilience to noise. Equiangular tight frames (ETFs) are particularl…
Tight frames, partial isometries, and signal reconstruction
Enrico Au-Yeung, Somantika Datta
This article gives a procedure to convert a frame which is not a tight frame into a Parseval frame for the same space, with the requirement that each element in the resulting Parse…
Construction of zero autocorrelation stochastic waveforms
Somantika Datta
Stochastic waveforms are constructed whose expected autocorrelation can be made arbitrarily small outside the origin. These waveforms are unimodular and complex-valued. Waveforms w…
Geometry of the Welch Bounds
Somantika Datta, Stephen Howard, Douglas Cochran
A geometric perspective involving Grammian and frame operators is used to derive the entire family of Welch bounds. This perspective unifies a number of observations that have been…