Transient spike trains consisting of M (= 1 5) pulses generated by single Hodgkin-Huxley (HH) neurons, have been analyzed by using both the continuous and discrete wavelet transformations (WT). We have studied effects of variations in the interspike intervals (ISI) of the spikes and effects of noises on the energy distribution and the wavelet entropy, which are expressed in terms of the WT expa...

The objective of this paper is to evaluate a set of wavelets for image compression. Image compression using wavelet transforms results in an improved compression ratio. Wavelet transformation is the technique that provides both spatial and frequency domain information. These properties of wavelet transform greatly help in identification and selection of significant and non-significant coefficie...

The representation of discrete, compact wavelet transformations (WTs) as circuits of local unitary gates is discussed. We employ a similar formalism as used in the multi-scale representation of quantum many-body wavefunctions using unitary circuits, further cementing the relation established in Refs. 1 and 2 between classical and quantum multi-scale methods. An algorithm for constructing the ci...

For a compactly supported wavelet there are non-polynomial functions with all their wavelet coeecients vanishing, and the class U of such functions has been characterized by P.-G. Lemari e-Rieusset. In this paper we study the properties of this class U more closely, and show how U relates to the characterization of function spaces in terms of wavelet coeecients, the asymptotic behavior of the w...

For a collection E of dyadic intervals, a Banach space X, and p ∈ (1, 2] we assume the upper lp estimates

The concept of sectorization of the transformed images for CBIR is an innovative idea. This paper introduces the concept of Wavelet generation for Discrete sine transform (DST).The sectorization of the DST transformed images and the DST wavelet transforms has been done into various sector sizes i.e.4,8,12, and 16. The transformation of the images is tried and tested threefold i.e. row wise tran...