Sampling Theorem in Terms of the Bandwidth and Sampling Interval

An approach has been developed for interpolating non-uniformly sampled data, with applications in signal and image reconstruction. This innovation generalizes the Whittaker-Shannon sampling theorem by emphasizing two assumptions explicitly (definition of a band-limited function and construction by periodic extension). The Whittaker-Shannon sampling theorem is thus expressed in terms of two fundamental length scales that are derived from these assumptions. The result is more general than what is usually reported, and contains the Whittaker-Shannon form as a special case corresponding to Nyquist-sampled data. The approach also shows that the preferred basis set for interpolation is found by varying the frequency component of the basis functions in an optimal way.

This work was done by Bruce H. Dean of Goddard Space Flight Center. For further information, contact the Goddard Innovative Partnerships Office at (301) 286-5810.

This invention is owned by NASA, and a patent application has been filed. Inquiries concerning nonexclusive or exclusive license for its commercial development should be addressed to the Patent Counsel, Goddard Space Flight Center, (301) 286-7351. Refer to GSC-15685-1.

White Papers

Removing the Gap Between ECAD and MCAD Design
Sponsored by Mentor Graphics
Telemedicine Robots Bring Expertise to Remote Areas
Sponsored by MICROMO
A Brief History of Modern Digital Shaker Controllers
Sponsored by Crystal Instruments
Domestic Versus Offshore PCB Manufacturing
Sponsored by Sunstone Circuits
How Paper-based 3D Printing Works: The Technology and Advantages
Sponsored by Mcor Technologies
HIG™: Combining the Benefits of Inductive and Resistive Heating
Sponsored by iTherm Technologies

White Papers Sponsored By: