A recursive construction is provided for sequence sets which possess good Hamming Distance and low Peak-to-Average Power Ratio (PAR) with respect to any Local Unitary Unimodular Transform (including all one and multi-dimensional Discrete Fourier Transforms).

The application of the mixed-radix fast Fourier transform algorithm and the Winograd Fourier transform algorithm for solving a probabilistic production costing problem is proposed. The two algorithms are used to estimate the energy generated by each unit of a generation system directly in the Fourier domain which saves a considerable amount of computational time. A comparison between the two al...

We propose a new recursive filtering algorithm for wave-front reconstruction in a large-scale adaptive optics system. An embedding step is used in this recursive filtering algorithm to permit fast methods to be used for wave-front reconstruction on an annular aperture. This embedding step can be used alone with a direct residual error updating procedure or used with the preconditioned conjugate...

The Fourier volume rendering technique operates in the frequency domain and creates line integral projections of a 3D scalar field. These projections can be efficiently generated in ) log O( 2 N N time by utilizing the Fourier Slice-Projection theorem. However, until now, the mathematical difficulty of the Fast Fourier Transform prevented acceleration by graphics hardware and therefore limited ...

In this paper, we propose one low-computation cycle and power-efficient recursive discrete Fourier transform (DFT)/inverse DFT (IDFT) architecture adopting a hybrid of input strength reduction, the Chebyshev polynomial, and register-splitting schemes. Comparing with the existing recursive DFT/IDFT architectures, the proposed recursive architecture achieves a reduction in computation-cycle by ha...

the stolt (f-k) migration algorithm is a direct (i.e. non-recursive) fourier-domain technique based on a change of variables (or equivalently, a mapping) that converts the input spectrum to the output spectrum. the algorithm is simple and efficient but limited to constant velocity. a v(z)(f-k) migration method, capable of very high accuracy for vertical variations of velocity, can be formulated...

Article history: Available online 17 October 2013