Difference between revisions of "Array signal processing"
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=== Modified Spatial Autocorrelation method (MSPAC) === | === Modified Spatial Autocorrelation method (MSPAC) === | ||
| − | The Modified Spatial Autocorrelation (MSPAC) was introduced by Bettig et al. (2001) | + | The Modified Spatial Autocorrelation (MSPAC) was introduced by Bettig et al. (2001) <ref name="Bettig et al. (2001)"> 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.</ref> after pioneer paper of Aki (1957)<ref name="Aki (1957)."> Aki, K., 1957. Space and Time Spectra of Stationary Stochastic Waves, with Special Reference to Microtremors, Bull. Earthq. Res. Inst. Tokyo, 35, 415-457. </ref>. This method allows computing spatial autocorrelation coefficients for any arbitary array configurations. |
BLA BLA BLA | BLA BLA BLA | ||
| − | The co-array is defined as the set of all possible combinations of two array sensors (Haubrich, 1968 | + | |
| + | The co-array is defined as the set of all possible combinations of two array sensors (Haubrich, 1968 <ref name="Haubrich (1968)"> Haubrich, R.A., 1968. Array Design, Bull. seism. Soc. Am., 58(3), 977–991. </ref>): the array can thus be divided into several semicircular sub-arrays (hereafter called rings) as described in Bettig et al. (2001) <ref name="Bettig et al. (2001)"> 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.</ref>. 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. | ||
Revision as of 08:14, 10 March 2010
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.
