TY - GEN
T1 - Factor analysis for spectral estimation
AU - Andén, Joakim
AU - Singer, Amit
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - Power spectrum estimation is an important tool in many applications, such as the whitening of noise. The popular multitaper method enjoys significant success, but fails for short signals with few samples. We propose a statistical model where a signal is given by a random linear combination of fixed, yet unknown, stochastic sources. Given multiple such signals, we estimate the subspace spanned by the power spectra of these fixed sources. Projecting individual power spectrum estimates onto this subspace increases estimation accuracy. We provide accuracy guarantees for this method and demonstrate it on simulated and experimental data from cryo-electron microscopy.
AB - Power spectrum estimation is an important tool in many applications, such as the whitening of noise. The popular multitaper method enjoys significant success, but fails for short signals with few samples. We propose a statistical model where a signal is given by a random linear combination of fixed, yet unknown, stochastic sources. Given multiple such signals, we estimate the subspace spanned by the power spectra of these fixed sources. Projecting individual power spectrum estimates onto this subspace increases estimation accuracy. We provide accuracy guarantees for this method and demonstrate it on simulated and experimental data from cryo-electron microscopy.
UR - http://www.scopus.com/inward/record.url?scp=85031697876&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85031697876&partnerID=8YFLogxK
U2 - 10.1109/SAMPTA.2017.8024447
DO - 10.1109/SAMPTA.2017.8024447
M3 - Conference contribution
C2 - 30854520
AN - SCOPUS:85031697876
T3 - 2017 12th International Conference on Sampling Theory and Applications, SampTA 2017
SP - 169
EP - 173
BT - 2017 12th International Conference on Sampling Theory and Applications, SampTA 2017
A2 - Anbarjafari, Gholamreza
A2 - Kivinukk, Andi
A2 - Tamberg, Gert
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 12th International Conference on Sampling Theory and Applications, SampTA 2017
Y2 - 3 July 2017 through 7 July 2017
ER -