The fractional wavelet transform (FRWT), which generalizes the classical wavelet transform
and the well-known fractional Fourier transform, has recently been demonstrated as a …

In this paper, we show how to construct an orthonormal basis from Riesz basis by assuming
that the fractional translates of a single function in the core subspace of the fractional …

In pursuit of efficient time-frequency representation of Clifford-valued signals, we propose a
novel integral transform coined as the Clifford-valued wave-packet transform. In the first …

The linear canonical transform (LCT) has attained respectable status within a short span and
is being broadly employed across several disciplines of science and engineering including …

Time-frequency analysis of signals had its origin almost 60 years ago, there have been
major developments of the time-scale and time-frequency analysis approach in the last few …

Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-
frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and …

The wave packet systems are generated by the combined action of translation, dilation and
modulation on a single function while frames are basis-like systems that span a vector space …

In this paper, we define the wave-packet transform (WPT) involving Lebedev–Skalskaya
transform (LS-transform) and establish some norm estimates of LS-wavelet, LS-wavelet …

In this article, we introduce the notion of nonuniform biorthogonal wavelets on positive half
line. We first establish the characterizations for the translates of a single function to form the …