Accommodating fourier transformation attenuation between transform term frequencies
US7472152B1 · kind B1 · utility
Assignee
Inventors
Key dates
| Filing date | Aug 2, 2004 |
| Grant date | Dec 30, 2008 |
| Priority date | — |
| Expiry date | Nov 24, 2026 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F17/141
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
A Fourier transformation algorithm implementation in which accommodation is provided for the output attenuation occurring when an input signal falls intermediate two terms of the transformation output series in its frequency. Corrected Fourier transformation terms, achieved by combining the magnitudes of attenuated Fourier transformation terms generated by the input signal at Fourier transformation frequencies distant to the input signal frequency, in either a vectorial or a scalar combination, are substituted for an attenuated Fourier transformation term according to the invention. Noise correction of the substitute Fourier transformation terms is also provided. The invention is disclosed through use of a global position system signal example that is subjected to a double Fourier transformation filtering process to enhance the incoming signal to noise ratio. Normally occurring 3.9 decibel attenuations in each Fourier transformation step are reduced to about 0.9 decibel each through use of the invention.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.