Array signal processing
Contents
Array signal processing
Basic principle of array processing - delay and sum / shift and sum
Array response function
Frequency wavenumber power spectrum
Modified Spatial Autocorrelation method (MSPAC)
The Modified Spatial Autocorrelation (MSPAC) was introduced by Bettig et al. (2001) [1] after pioneer paper of Aki (1957)[2]. 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 [3]): the array can thus be divided into several semicircular sub-arrays (hereafter called rings) as described in Bettig et al. (2001) [1]. 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.
- ↑ 1.0 1.1 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.
