Digital Sound Synthesis has been an exciting field of research over the last two to three decades. The idea is mainly to generate sound artificially using a system. A lot of work has been done in the past for synthesis of musical tones of stringed instruments. In this work, attempt is made for synthesizing Harmonium music using the techniques of Physical Modeling based on Digital Waveguides. In...

− A new method of three-dimensional profile measurement of four-step reference specimens is presented. Instead of measuring only the height difference between central points of the two neighbouring surfaces of the specimen, overall profile of the whole specimen can be measured by using the fringe scanning Fourier transform method. The method to determine step height from its surface profile is ...

Recently several generalizations to higher dimension of the classical Fourier transform (FT) using Clifford geometric algebra have been introduced, including the two-dimensional (2D) Clifford Fourier transform (CFT). Based on the 2D CFT, we establish the two-dimensional Clifford windowed Fourier transform (CWFT). Using the spectral representation of the CFT, we derive several important properti...

a School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia e-mail: [email protected] 1 Department of Mathematics, Hasanuddin University, KM 10 Tamalanrea Makassar, Indonesia b Department of Applied Physics, University of Fukui, 910-8507 Fukui, Japan e-mail: [email protected] c Division of Mathematical Sciences, Osaka Kyoiku University, Osaka 582-8582, Japa...

We characterize the Schwartz space of rapidly decaying test functions by the decay of the short-time Fourier transform or cross-Wigner distribution. Then we prove a version of Hardy’s theorem for the short-time Fourier transform and for the Wigner distribution.

Given a fixed p 6= 2 we prove a simple and effective characterization of all radial multipliers of FL(R) provided that the dimension d is sufficiently large. The method also yields new L space-time regularity results for solutions of the wave equation in high dimensions.

A method for fingerprint matching using invariant moment featuresis proposed. The fingerprint image is first preprocessed to enhance the original image by the Short Time Fourier Transform (STFT) analysis. Then, a set of seven invariant moment features is extracted to represent the fingerprint image from a cirque of Interest (COI) based on the reference point of the enhanced fingerprint image. T...

Most of the single-channel speech separation (SCSS) systems use the short-time Fourier transform as their parametric features. Recent studies have shown that employing sinusoidal features for the SCSS application results in a high perceived speech quality. In this paper, we make a systematic study on automatic speech recognition results for a SCSS system that uses sinusoidal features composed o...

Connections between Hankel transforms of different order for L-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.