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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 July 24, 2024)

Issues

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Created May 24, 2015, Updated October 6, 2020