One-dimensional Fast Fourier Transform (FFT) operations work fastest on grids whose size is divisible by a power of two. Because of this, padding grids (that are not already sized to a power of two) so that their size is the next highest power of two can speed up operations. While this works well for one-dimensional grids, it does not work well for two-dimensional grids. For a two-dimensional g...

In the accompaning Letter [ I] we have described successful FT-ESR imaging experiments utilizing pulsed field gradients. It was shown that the phase encoding method is the preferred one, and it yields spectral-spatial images of a quality comparable to the best cw-ESR spectral-spatial images even though it is only at an early stage of development. The realization of these FT-ESR imaging experime...

ones proposed in this study give a better reconstruction rate than the G method for the small number of FD's. For the ZR approach the bounds on the deviation between a contour and its approximation Two kinds of Fourier shape descriptors (FD's) are based on the finite number of Fourier coefficients are considered: ZR defined by Zahn and Roskies and G derived. These bounds tell us how many FD's a...

We introduce two-dimensional NMR spectroscopy detected by recording and processing the noise originating from nuclei that have not been subjected to any radio frequency excitation. The method relies on cross-correlation of two noise blocks that bracket the evolution and mixing periods. While the sensitivity of the experiment is low in conventional NMR setups, spin-noise-detected NMR spectroscop...

Coherent light-matter interactions of direct-gap semiconductor nanostructures provide a great test system for fundamental research into quantum electronics and many-body physics. The understanding gained from studying these interactions can facilitate the design of optoelectronic devices. Recently, we have used optical two-dimensional Fourier-transform spectroscopy to explore coherent light-mat...

Two-dimensional Fourier-transform ESR spectra from a complex fluid characterized by very short free induction decay times are reported. They provide enhanced resolution to dynamic molecular structure compared to conventional cw-ESR spectra which are inhomogeneously broadened by the macroscopic disorder. A general theoretical analysis based on the stochastic Liouville equation permits us to accu...

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...

The fast generalized Fourier transform algorithm is extended to twodimensional data cases. The algorithm provides a fast and nonredundant alternative for the simultaneous time-frequency and spacewavenumber analysis of the data with time-space dependencies. The transform decomposes the data based on the local slope information, and therefore making it possible to extract weight function based on...