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.
Sampling Theory and Applications 11th International Conference
and Casey, S.
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 March 3, 2024)