In recent time, wavelet transforms are used extensively for efficient storage, transmission and representation of multimedia signals. Hilbert transform pairs of wavelets is the basic unit of many wavelet theories such as complex filter banks, complex wavelet and phaselet etc. Moreover, Hilbert transform finds various applications in communications and signal processing such as generation of sin...

Fractional Fourier transform is one of a flourishing field of active research due to its wide range of applications. It is well-known that fractional Fourier transform is linear, but not shift invariant as that of conventional Fourier transform. Linear shift invariant systems can be expressed in terms of convolution of two functions. Convolution for fractional Fourier transform, defined by Alme...

The optical C T (Computerized Tomography), which utilises light transmitted through a semi-opaque object extends vision to the inside of objects. The projection profiles of the optical C T are smeared due to the scattering of light in a translucent medium. In the image reconstruction for MRI (Magnetic Resonance Imaging), FID (Free Induction Decay) signals consisting of decaying sinusoids inevit...

A fast algorithm is established to transform points of the unit sphere into fundamental region symmetrically. With the resulting algorithm, a flexible form of invariant mappings is achieved to generate aesthetic patterns with symmetries of the regular polyhedra.

For positive Toeplitz operators on Bergman spaces of the unit ball, we determine exactly when membership in the Schatten classes Sp can be characterized in terms of the Berezin transform.

This paper proposes an identification approach for the Electronic Control Units (ECUs) in vehicle, which are based on physical characteristics of ECUs extracted from their voltage output. Then, is not cryptographic means, but it could be used as alternative or complementary means to strengthen solutions vehicle cybersecurity. While previous research has hand-crafted features such mean voltage, ...