Publication: On approximation of bandlimited functions with compressed sensing
On approximation of bandlimited functions with compressed sensing
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Huber, A. E. G., & Liu, S.-C. (2018, April 20). On approximation of bandlimited functions with compressed sensing. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary. https://doi.org/10.1109/ICASSP.2018.8461376
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The application of Compressed Sensing techniques to bandlimited functions is investigated in this paper. It is shown that under the assumption of sparsity, stable reconstruction of a bandlimited function is possible from finitely many samples, contrary to classical results from signal processing theory. The number of measurements that need to be taken is proportional to the sparsity of the function. In compact intervals, it is shown that the number of pointwise measurements required scales quadratically with the size of the largest ex
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Huber, A. E. G., & Liu, S.-C. (2018, April 20). On approximation of bandlimited functions with compressed sensing. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary. https://doi.org/10.1109/ICASSP.2018.8461376