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.

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



Howard S. Cohl, Stephen D. Casey


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


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


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], (Accessed July 24, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created May 24, 2015, Updated October 6, 2020