Skip to main content

NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

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.

UWB Signal Processing: Projection, B-Splines, and Modified Gegenbauer Bases

Published

Author(s)

Howard S. Cohl, Stephen D. Casey

Abstract

Ultra-wide band (UWB) systems require either rapidly changing or very high sampling rates. Conventional analog-to-digital devices have limited dynamic range. We investigate UWB signal processing via a basis projection method and a basis system designed 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 windowing systems are key, and we develop systems that have variable partitioning length, variable roll-off and variable smoothness. These include systems developed to preserve orthogonality of any orthonormal systems between adjacent blocks and almost orthogonal windowing systems that are more computable/constructible than the orthogonality preserving systems, built using $B$-splines. We construct the basis projection method, developing the method for a modified Gegenbauer system designed specifically for UWB signals.
Proceedings Title
Sampling Theory and Applications 11th International Conference
Conference Dates
May 25-29, 2015
Conference Location
Washington, DC

Keywords

ultra-wide band communication, modified Gegenbauer, projection, b-splines

Citation

Cohl, H. and Casey, S. (2015), UWB Signal Processing: Projection, B-Splines, and Modified Gegenbauer Bases, Sampling Theory and Applications 11th International Conference, Washington, DC, [online], https://doi.org/10.1109/SAMPTA.2015.7148840. (Accessed October 21, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created May 24, 2015, Updated October 6, 2020
Was this page helpful?