Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Sampling Architectures for Ultra-Wideband Signals

Published

Author(s)

Howard S. Cohl, Steve Casey

Abstract

Ultra-wideband (UWB) signal processing is a technology with many features that could develop into advances in communication and information technology. The technology has tremendous potential, but also presents challenges to the signal processing community, and, in particular, to sampling theory. UWB systems require either rapidly changing or very high sampling rates. Conventional analog-to-digital devices have limited dynamic range. This motivates rethinking how one could reliably sample a UWB signal. This article outlines a UWB signal processing system via a basis projection and a basis system designed specifically for UWB signals. The method first windows the signal and then decomposes the signal into a basis via a continuous-time inner product operation, computing the basis coefficients in parallel. The windows are key, and we develop windows that have variable partitioning length, variable roll-off and variable smoothness. They preserve orthogonality of any orthonormal system between adjacent blocks. In this paper, we develop new windows, and give an outline for a new architecture for the projection. We then use this projection with a basis system designed to work with UWB signals, implementing modified Gegenbauer functions designed specifically for UWB signals. The Gegenbauer system minimizes the Gibbs phenomenon. This gives the point values of a piecewise smooth signal with essentially the same accuracy as a smooth approximation, making it the ideal system to use for UWB systems.
Proceedings Title
Sampling Theory and Applications, 12th International Conference,
July 3 – 7, 2017,
Conference Dates
July 3-7, 2017
Conference Location
Tallinn,

Keywords

Ultra-Wideband Signals, Projection Method, Gegenbauer polynomials

Citation

Cohl, H. and Casey, S. (2017), Sampling Architectures for Ultra-Wideband Signals, Sampling Theory and Applications, 12th International Conference, July 3 – 7, 2017,, Tallinn,, -1, [online], https://doi.org/10.1109/SAMPTA.2017.8024452 (Accessed May 20, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created July 2, 2017, Updated October 7, 2020