NEUROSCIENCE Correction for “Specific neural substrate linking respiration to locomotion,” by Jean-François Gariépy, Kianoush Missaghi, Stéphanie Chevallier, Shannon Chartré, Maxime Robert, François Auclair, James P. Lund, and Réjean Dubuc, which appeared in issue 2, January 10, 2012, of Proc Natl Acad Sci USA (109:E84–E92; first published December 12, 2011; 10.1073/pnas.1113002109). The author...

In this article we discuss the concept of wavelets, different forms wavelets and their properties, graphs Fourier transforms are shown. We have also discussed comparative advantages wavelet over transforms- in analyzing signals.

The first type of pseudo-splines were introduced by [Daubechies, Han, Ron and Shen, 2003] (DHRS) to construct tight framelets with desired approximation orders via the unitary extension principle of [Ron and Shen, 1997]. In the spirit of the first type of pseudo-splines, we introduce here a new type (the second type) of pseudo-splines to construct symmetric or antisymmetric tight framelets with...

this paper presents a proof of stirling's formula using haar wavelets and some properties of hilbert space, such as parseval's identity. the present paper shows a connection between haar wavelets and certain sequences.

This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel‎. ‎First‎, ‎a collocation method based on Haar wavelets (HW)‎, ‎Legendre wavelet (LW)‎, ‎Chebyshev wavelets (CHW)‎, ‎second kind Chebyshev wavelets (SKCHW)‎, ‎Cos and Sin wavelets (CASW) and BPFs are presented f...

this paper presents a proof of stirling's formula using haar wavelets and some properties of hilbert space, such as parseval's identity. the present paper shows a connection between haar wavelets and certain sequences.

such an approach is local. We can choose the interpolation points nonuniformly by assigning more interpolation points around irregular locations. The disadvantage of ISS is that the generated curves are not polynomial splines. V. CONCLUSION In this correspondence, we propose the ISS approach for the initialization of a wavelet transform, which is very important for further applications. Moreove...

We introduce a class of stationary 1-D interpolating subdivision schemes, denoted by Hermite(m, L, k), which classifies all stationary Lagrange or Hermite interpolating subdivision schemes with prescribed multiplicity, support and polynomial reproduction property: Given m > 0, L > 0 and 0 ≤ k ≤ 2mL − 1, Hermite(m, L, k) is a family parametrized by m2L− m(k +1)/2 (in the symmetric case) or 2m2L−...