Journal
SENSORS
Volume 22, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/s22093387
Keywords
finite rate of innovation; terahertz time-domain spectroscopy; low sampling rate; sum-of-sincs; annihilating filters
Funding
- Engineering and Physical Sciences Research Council (EPSRC) [EP/S021442/1, EP/V047914/1]
- Royal Society Wolfson Merit Award
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This study presents a finite rate of innovation method applied specifically to terahertz signals, achieving low sampling rates and faster data acquisition.
Recently, finite rate of innovation methods have been successfully applied to achieve low sampling rates in many areas, such as for ultrasound and radio signals. However, to the best of our knowledge, there are no journal publications applying this to real terahertz signals. In this work, we mathematically describe a finite rate of innovation method applied specifically to terahertz signals both experimentally and in simulation. To demonstrate our method, we applied it to randomized simulated signals with and without the presence of noise and to simple experimental measurements. We found excellent agreement between the simulated signals and those recreated based on results from our method, with this success also being replicated experimentally. These results were obtained at relatively low sampling rates, compared to standard methods, which is a key advantage to using a finite rate of innovation method as it allows for faster data acquisition and signal processing.
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