TY - GEN
T1 - Fitting instead of annihilation
T2 - 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
AU - Gilliam, Christopher
AU - Blu, Thierry
PY - 2014
Y1 - 2014
N2 - Recently, classical sampling theory has been broadened to include a class of non-bandlimited signals that possess finite rate of innovation (FRI). In this paper we consider the reconstruction of a periodic stream of Diracs from noisy samples. We demonstrate that its noiseless FRI samples can be represented as a ratio of two polynomials. Using this structure as a model, we propose recovering the FRI signal using a model fitting approach rather than an annihilation method. We present an algorithm that fits this model to the noisy samples and demonstrate that it has low computation cost and is more reliable than two state-of-the-art methods.
AB - Recently, classical sampling theory has been broadened to include a class of non-bandlimited signals that possess finite rate of innovation (FRI). In this paper we consider the reconstruction of a periodic stream of Diracs from noisy samples. We demonstrate that its noiseless FRI samples can be represented as a ratio of two polynomials. Using this structure as a model, we propose recovering the FRI signal using a model fitting approach rather than an annihilation method. We present an algorithm that fits this model to the noisy samples and demonstrate that it has low computation cost and is more reliable than two state-of-the-art methods.
KW - Finite rate of innovation
KW - noise
KW - recovery of Dirac pulses
KW - sampling theory
UR - https://www.scopus.com/pages/publications/84905228226
U2 - 10.1109/ICASSP.2014.6853556
DO - 10.1109/ICASSP.2014.6853556
M3 - Conference contribution
AN - SCOPUS:84905228226
SN - 9781479928927
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 51
EP - 55
BT - 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
PB - Institute of Electrical and Electronics Engineers (IEEE)
Y2 - 4 May 2014 through 9 May 2014
ER -