Array signal processing - Revision history

Admin: /* Basic principle of array processing - ''delay and sum'' / ''shift and sum'' */

2010-03-11T09:42:18Z

Basic principle of array processing - ''delay and sum'' / ''shift and sum''

Pierre-Yves Bard: /* Array response function */

2010-03-11T08:59:11Z

Array response function

Cecile at 08:03, 11 March 2010

2010-03-11T08:03:45Z

Mao: /* Array response function */

2010-03-10T09:22:39Z

Array response function

Mao: /* Modified Spatial Autocorrelation method (MSPAC) */

2010-03-10T08:47:19Z

Modified Spatial Autocorrelation method (MSPAC)

Mao: /* Array response function */

2010-03-10T08:46:52Z

Array response function

Mao at 08:15, 10 March 2010

2010-03-10T08:15:41Z

Cecile: /* Modified Spatial Autocorrelation method (MSPAC) */

2010-03-10T08:14:29Z

Modified Spatial Autocorrelation method (MSPAC)

Cecile: /* Modified Spatial Autocorrelation method (MSPAC) */

2010-03-10T08:06:14Z

Modified Spatial Autocorrelation method (MSPAC)

Cecile: /* Array signal processing */

2010-03-10T08:05:06Z

Array signal processing

← Older revision		Revision as of 09:42, 11 March 2010
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−	== Basic principle of array processing - ''delay and sum'' / ''shift and sum'' ==	+	== Basic principle of array processing - [[Wikipedia:Delay_and_sum\|''delay and sum'' (or ''shift and sum'')]] ==

	== Array response function ==		== Array response function ==

@@ Line 35: / Line 35: @@
 still the limits of the wavenumber range as well as the desired
 resolution for the grid computation <math>(\delta k_x, \delta k_y)</math>
-needs to be specified. The resolution needs to be sufficient high in
+needs to be specified. The resolution needs to be sufficiently high in
-order to not miss small details of the peaked surface and the
+order not to miss small details of the peaked surface and the
 size of the grid should allow to determine the position of
 grating lobes or strong secondary side lobes in the 2D surface.

@@ Line 44: / Line 44: @@
 == Frequency wavenumber power spectrum ==
 == References ==
 <references/>

@@ Line 11: / Line 11: @@
 * Van Trees (2002) <ref name="Van Trees (2002)">H.L. Van Trees, Optimum Array Processing, Part IV of 'Detection, Estimation, and Modulation Theory, John Wiley
 and Sons, Inc., New York, 2002.</ref>
 == Frequency wavenumber power spectrum ==

← Older revision		Revision as of 08:47, 10 March 2010
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	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.		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.
		+
		+	== References ==
		+	<references/>

← Older revision		Revision as of 08:46, 10 March 2010
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	== Array response function ==		== Array response function ==
		+
		+	some books and papers for reference
		+
		+	* Johnson and Dudgeon (1993) <ref name="Johnson and Dudgeon (1993)">D.H.Johnson & D.E.Dudgeon, Array Signal Processing - concepts and techniques, Prentice Hall Signal Processing Series, Alan v. Oppenheim, Series Editor, 1993.</ref>
		+	* Mykkelveit et al. (1983) <ref name="Mykkelveit et al. (1983)">Mykkeltveit, S., Astebol, K., Doornbos, D.J., and Husebye, E.S. (1983). Seismic Array configuration Optimization, BSSA, 73(1), pp. 173-186.</ref>
		+	* Rost and Thomas (2002) <ref name="Rost and Thomas (2002)">Rost, S. and Ch. Thomas, Array Seismology, Reviews of Geophysics, 2002.</ref>
		+	* Schweitzer et al. (2002) <ref name="Schweitzer et al. (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.</ref>
		+	* Van Trees (2002) <ref name="Van Trees (2002)">H.L. Van Trees, Optimum Array Processing, Part IV of 'Detection, Estimation, and Modulation Theory, John Wiley
		+	and Sons, Inc., New York, 2002.</ref>

	== Frequency wavenumber power spectrum ==		== Frequency wavenumber power spectrum ==

@@ Line 1: / Line 1: @@
-== Array signal processing ==
+== Basic principle of array processing - ''delay and sum'' / ''shift and sum'' ==
-=== Basic principle of array processing - ''delay and sum'' / ''shift and sum'' ===
+== Array response function ==
-=== Array response function ===
+== Frequency wavenumber power spectrum ==
-=== Frequency wavenumber power spectrum ===
+== Modified Spatial Autocorrelation method (MSPAC) ==
 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.

@@ Line 9: / Line 9: @@
 === 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.
+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
-The co-array is defined as the set of all possible combinations of two array sensors (Haubrich, 1968 [4]): 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.

← Older revision		Revision as of 08:06, 10 March 2010
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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) [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 [4]): 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.

← Older revision		Revision as of 08:05, 10 March 2010
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	=== Frequency wavenumber power spectrum ===		=== Frequency wavenumber power spectrum ===
		+
		+	=== Modified Spatial Autocorrelation method (MSPAC) ===