We propose an algorithm that uses the discrete wavelet transform (DWT) as a tool to compute the discrete Fourier transform (DFT). The Cooley-Tukey FFT is shown to be a special case of the proposed algorithm when the wavelets in use are trivial. If no intermediate coe cients are dropped and no approximations are made, the proposed algorithm computes the exact result, and its computational comple...

Traditional Fast Fourier Transform algorithm makes the implementation of the multicarrier system feasible and attractive with respect to single-carrier systems. However, when the channel is doubly selective (i.e. time-frequencyselective), this traditional methodology fails. Since the channel frequency response is rapidly time-varying as a result the optimal transmission/reception methodology no...

here are several domain transform like Fourier, sine, cosine and wavelet transform to processes an image. But the problem with these transform are inefficient to solve certain problem. Fractional Fourier transform gives extra degree of flexibility. It helps to improve image such as Image sharpness, filter and watermark. Keywords— Image processing, Fractional Fourier transform, FrFT, Image blurr...

introduction: the aim of this study was to in-vestigate the effect of irradiation duration and distance of light tip to prepared samples in two different light curing unites on the degree of conversion of resin composite. materials and methods: conventional halogen and blue light emitting diode (led) units were used for polymerization of an opalis resin com-posite. the conversion measurements w...

background: the seminal plasma is an excellent source for noninvasive detection of spermatogenesis. the seminal plasma of normospermic and azoospermic men has been analyzed for detection of spermatogenesis. methods: optical spectroscopy (attenuated total reflectance-infrared spectroscopy (atr-ir) and fourier transform infrared spectroscopy (ft-ir) has been used to analyze the seminal plasma and...

Abstract The integral transform method based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the generalized Weyl space-fractional operator. The solutions, representing ...

We give a new generalization for Haar functions. The generalization starts from the Walsh-like functions and based on the connection between the original Walsh and Haar systems. We generalize the Haar– Fourier Transform too.

In this section we discuss the theory of Fourier Series for functions of a real variable. In the next sections we will study an analogue which is the “discrete” Fourier Transform. Early in the Nineteenth century, Fourier studied sound and oscillatory motion and conceived of the idea of representing periodic functions by their coefficients in an expansion as a sum of sines and cosines rather tha...