Array signal processing
Contents
Basic principle of array processing - delay and sum / shift and sum
Array response function
some books and papers for reference
- Johnson and Dudgeon (1993) [1]
- Mykkelveit et al. (1983) [2]
- Rost and Thomas (2002) [3]
- Schweitzer et al. (2002) [4]
- Van Trees (2002) [5]
Frequency wavenumber power spectrum
Modified Spatial Autocorrelation method (MSPAC)
The Modified Spatial Autocorrelation (MSPAC) was introduced by Bettig et al. (2001) [6] after pioneer paper of Aki (1957)[7]. This method allows computing spatial autocorrelation coefficients for any arbitary array configurations.
BLA BLA BLA
The co-array is defined as the set of all possible combinations of two array sensors (Haubrich, 1968 [8]): the array can thus be divided into several semicircular sub-arrays (hereafter called rings) as described in Bettig et al. (2001) [6]. Since, for each ring, an azimuthal and radial integration is performed when computing spatial autocorrelation values, the design of rings results from a compromise between a number of sensors pair per ring as large as possible and a ring thickness as small as possible.
- ↑ D.H.Johnson & D.E.Dudgeon, Array Signal Processing - concepts and techniques, Prentice Hall Signal Processing Series, Alan v. Oppenheim, Series Editor, 1993.
- ↑ Mykkeltveit, S., Astebol, K., Doornbos, D.J., and Husebye, E.S. (1983). Seismic Array configuration Optimization, BSSA, 73(1), pp. 173-186.
- ↑ Rost, S. and Ch. Thomas, Array Seismology, Reviews of Geophysics, 2002.
- ↑ Schweitzer, J., Fyen, J., Mykkeltveit, S. and Kvaerna, T. (2002). Chapter 9: Seismic Arrays, In: Bormann, P. (Ed.), IASPEI New Manual of Seismological Observatory Practice, GeoForschungsZentrum Potsdam, Vol. 1, 51pp.
- ↑ H.L. Van Trees, Optimum Array Processing, Part IV of 'Detection, Estimation, and Modulation Theory, John Wiley and Sons, Inc., New York, 2002.
- ↑ 6.0 6.1 Bettig B., P.-Y. Bard, F. Scherbaum, J. Riepl, F. Cotton, C. Cornou, D. Hatzfeld, 2001. Analysis of dense array measurements using the modified spatial auto-correlation method (SPAC). Application to Grenoble area., Boletin de Geofisica Teoria e Applicata, 42, 3-4, 281-304.
- ↑ Aki, K., 1957. Space and Time Spectra of Stationary Stochastic Waves, with Special Reference to Microtremors, Bull. Earthq. Res. Inst. Tokyo, 35, 415-457.
- ↑ Haubrich, R.A., 1968. Array Design, Bull. seism. Soc. Am., 58(3), 977–991.
