A general fast numerical algorithm for chirp transforms is developed by using two fast Fourier transforms and employing an analytical kernel. This new algorithm unifies the calculations of arbitrary real-order fractional Fourier transforms and Fresnel diffraction. Its computational complexity is better than a fast convolution method using Fourier transforms. Furthermore, one can freely choose t...

In this paper Mersenne number transforms are converted into cyclic convolutions, in which form they are amendable to simple hardware interpretation. Such realisation structures are proposed that can make the computation of Mersenne number transforms very fast indeed. This new approach can be extended to the implementation of other number theoretic transforms, in particular to Fermat number tran...

A novel gold nanoparticle-modified graphite pencil electrode (AuNP-GPE) is prepared just by immersing a bare GPE in AuNP solution, followed by heating for 15 min. The bare and modified GPEs are characterized by FE-SEM imaging and cyclic voltammetry. The AuNP-GPEs showed excellent electrocatalytic activities with respect to hydrazine oxidation, with good reproducibility. To reduce the quantifica...

The fractional Fourier transform (FRFT) is a one-parametric generalization of the classical Fourier transform. The FRFT was introduced in the 80th and has found a lot of applications and is now used widely in signal processing. Both the space and the spatial frequency domains, respectively, are special cases of the fractional Fourier domains. They correspond to the 0th and 1st fractional Fourie...

In This paper, the bit error rate analysis (BER) and peak signal to noise ratio performance (PSNR) of discrete wavelet transform (DWT)-OFDM system is compared with conventional fast fourier transform (FFT)-OFDM system for colour image transmission, here we use different error correcting codes like Reed Solomon codes, low density parity check codes (LDPC). The transmitted colour image is found t...