UWB signal processing: Projection, B-splines, and modified Gegenbauer bases
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 with a modified Gegenbauer system designed specifically for UWB signals.
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Parameter Estimation of SAR Signal Based on SVD for the Nyquist Folding Receiver
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“Compared with the Gegenbauer system [5,6] and many other compress sensing (CS) based architectures [10,11] that require full signal reconstruction, the NYFR basically preserves the signal structure, and the information reconstruction can be relatively simple with conventional signal analysis methods [12].”
BackgroundSampling architectures for ultra-wideband signals
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Self-citation
- Authors
- Casey, S. D., & Cohl, H. S.
- Affiliations
- American University (US)
- National Institute of Standards and Technology (US)
- Venue
- 2015 International Conference on Sampling Theory and Applications (SampTA)
- Publisher
- IEEE
- Published
- 2015-05
- Volume
- 4
- Pages
- 11-15
- OpenAlex
- W1666144725
- Cited by
- 7
- References
- 18
- Citations by year
- 2023: 2 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 1
- FWCI
- 1.24
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- International Conference on Sampling Theory and Applications (publishedVersion)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Ultra-Wideband Communications Technology
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Keywords
- ultra-wideband signals, B-splines, window systems, signal decomposition, high sampling rate, dynamic range
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