Methods of digital filtering and multi-dimensional data...

Details Methods of digital filtering and multi-dimensional data... Methods of digital filtering and multi-dimensional data...

2007-01-02

2007-01-02

Bayard, Emmanuel (Department: 2611)

Pulse or digital communications

Bandwidth reduction or expansion

Reexamination Certificate

active

09869640

ABSTRACT:
Methods are presented for calculating the wavelet filters and their inverses which rely on a new method of sampling (UA, TA, A) either digital or analog data. These methods combine and extend to give novel procedures for non-reversible multi-dimensional data compression. For selected applications, this procedure improves achievable compression factors by an estimated one to three orders of magnitude and is well-suited to picture build-up or other iterative refinement. Combining these wavelet filters and their inverse with previous theoretical work furthermore provides novel methods for calculating Fourier and other transforms. In a preferred embodiment used to calculate the Fourier transform (1) and its inverse (34) applied to digital input date, the method replaces the fast Fourier transform and its inverse and provides improvements in achievable accuracy. The new sampling method is inherently multiscale, and the invention thereby obviates the usual Nyquist constraint on the meaningful bandwidth in terms of the number of samples. Finally, the invention provides novel and efficient analog-to-digital and digital-to-analog interface.

REFERENCES:
patent: 4717962 (1988-01-01), Moore
patent: 5253192 (1993-10-01), Tufts
patent: 6473013 (2002-10-01), Velazquez et al.
patent: 2002/0054610 (2002-05-01), Reusens et al.
“Universal Constructions in Telchmüller Theory” R.C. Penner, Advances in Mathematics, vol. 98, No. 2, pp. 143-215, Apr. 1993.
“The Decorated Teichmüller Space of Punctured Surfaces”, R.C. Penner, Communications in Mathematical Physics 113, pp. 299-339, 1987.

Affiliated with

Also associated with

Rating

Methods of digital filtering and multi-dimensional data... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Methods of digital filtering and multi-dimensional data..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Methods of digital filtering and multi-dimensional data... will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-3754244