Determination of total acid and total ester in liquor based on Fourier transform near-infrared spectroscopy;

A method of digital image watermarking based on wavelet and Fourier transform;

Discrete Fourier transforms and fast Fourier transforms were analyzed and compared in this thesis.

A new method proposed which uses synthesis algorithm on the basis of wavelet transforms and Fourier transforms to measure electricity parameter.

In the integral formula of Fourier transforms of option pricing formula,by using residues theorem two integrations were simplified into a single numerical integration which has a faster rate of decay.

Practical industrial frequency harmonics analysis based on Fourier transformation;

Fourier transformation and its application in Fraunhofor diffraction by circular aperture;

The Green's tensor in frequency domain for cylindrical layered media was deduced from the 3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media,then the Green's tensor in spatial domain can be achieved with Fourier transformation,which is a singular integral of wave-number.

Analyzing of Knitting Fabric's Density Based on DFT;

With the background of high speed of signal acquisition a processing,the acquisition,the domain and frequency domain processing for the signal are researched and the related calculation methods of the FFT is discussed,the DFT possibility of having the higher efficiency is analyzed comparing with FFT and a kind of DFT.

The original video is spitted into a series of frame groups,for each frame in the group,the points of contour shape are described by MPEG-7,and taking advantage of hash function to calculate the keys between those points in the 1D-DFT transform domain and the watermark signals.