Weiner filters for gravitational-wave antennas: Characteristics and applications
Tóm tắt
We report on the application of Wiener filters to the data of Weber-type gravitational-wave antennas, with particular reference to data processed by means of lock-in amplifiers driven at the frequencies of the modes of the detector. After a review of some basic results concerning the filtering of the data, we briefly examine the relationship between Wiener filters and matched filters. The discussion that follows is centred on various aspects related to the practical application of Wiener filters as well as on their limitations, also addressing the dependence of their performance on the values of their parameters. Finally, we consider some applications of non-optimal Wiener filters: by reducing the filter smoothing time constant, the time resolution can be increased; by increasing it, the filter becomes an estimator of the Brownian motion.
Tài liệu tham khảo
J. Weber:Phys. Rev. Lett.,18, 498 (1967).
G. W. Gibbons andS. W. Hawking:Phys. Rev. D,4, 2191 (1971).
J. L. Levine andR. L. Garwin:Phys. Rev. Lett.,31, 173 (1973).b)D. Bramanti, K. Maischberger andD. Parkinson:Lett. Nuovo Cimento,7, 665 (1973).
P. Bonifazi, V. Ferrari, S. Frasca, G. V. Pallottino andG. Pizzella:Nuovo Cimento C,1, 465 (1978).
P. F. Michelson andR. C. Taber:J. Appl. Phys.,52, 4313 (1981).
W. Johnson, Bu-Xin Xu, B. Price andW. O. Hamilton:Digital filters for bar antennas, International Symposium on GW Signal Analysis, Amalfi, 1988.
A. Papoulis:Probability, Random Variables, and Stochastic Process (McGraw-Hill, New York, N.Y., 1991).
A. D. Whalen:Detection of Signals in Noise (Academic Press, New York, N.Y., 1971).
P. Astone, P. Bonifazi, S. Frasca, G. V. Pallottino andG. Pizzella:Nuovo Cimento C,15, 447 (1992).
B. F. Schutz:Data processing, analysis and storage for interferometric antennas, inThe Detection of Gravitational Waves, edited byD. G. Blair (Cambridge University Press, Cambridge, 1991), pp. 406–452.
S. Frasca, G. V. Pallottino andG. Pizzella:Spectral domain data analysis for a gravitational wave antenna, inSignal Processing III: Theories and Applications, edited byI. T. Young (North-Holland, Amsterdam, 1986), pp. 597–600.
P. Astone, M. Bassan, P. Bonifazi, P. Carelli, M. G. Castellano, G. Cavallari, E. Coccia, C. Cosmelli, V. Fafone, S. Frasca, E. Majorana, I. Modena, G. V. Pallottino, G. Pizzella, P. Rapagnani, F. Ricci andM. Visco:Phys. Rev. D,47, 362 (1993).
G. V. Pallottino andG. Pizzella:Data analysis and algorithms for GW antennas, inData Analysis in Astronomy III, edited byV. Di Gesù (Plenum Press, New York, N.Y., 1989), pp. 361–390.
G. V. Pallottino andG. Pizzella:Nuovo Cimento C,4, 237 (1981).
R. Giffard:Phys. Rev. D,14, 2478 (1976).
S. Frasca:Discrete time Gauss-Markov processes: theory and application to gravitational antenna signals simulation and filtering, Internal report 732, Institute of Physics, University of Rome, July 13, 1979.
H. J. Paik:J. Appl. Phys.,47, 1168 (1976).
G. L. Turin:IEEE Trans. Inf. Theory, IT-6, 311 (1960).
B. M. Dwork:Proc. IRE,38, 771 (1950).
G. C. Newton, L. A. Gould andJ. F. Kaiser:Analytical Design of Linear Feedback Controls (Wiley, New York, N.Y., 1957).
D. R. White:IEEE Trans. Instrum. Meas.,IM-38, 1036 (1989).
P. Astone, P. Bonifazi andG. V. Pallottino:Rev. Sci. Instrum.,61, 3899 (1990).