Warangps - Revision history

Mao: /* $k_{max}$ */

2010-03-11T15:32:49Z

Mao: /* $k_{max}$ */

2010-03-11T15:28:33Z

Mao: /* $k_{max}$ */

2010-03-11T15:08:22Z

Mao: /* $k_{max}$ */

2010-03-11T14:53:32Z

Mao: /* Typical usage */

2010-03-11T14:49:59Z

Typical usage

Mao: /* Typical usage */

2010-03-11T14:37:15Z

Typical usage

Mao: /* $k_{min}$ */

2010-03-11T14:31:12Z

Mao: /* $k_{min}$ */

2010-03-11T13:45:49Z

Mao: /* Loading coordinates */

2010-03-11T13:42:44Z

Loading coordinates

Mao: /* $k_{min}$ */

2010-03-11T13:38:12Z

@@ Line 75: / Line 75: @@
 is a fully cyclic pattern. <math>k_{max}</math> then corresponds to the distance in wavenumber domain
 between any exact repetition of the main lobe pattern along the 1-D axis of propagation.
 It is often reported that <math>k_{max}</math> can be used to specify aliasing limits of the array settings.
 To a certain extent this is true, as the grating lobes are indeed aliasing patterns from the spatial
 sampling process implicitly performed by recording a continuous wavefield at a finite number of discrete
-points in space.
+points in space. However, spatial aliasing can not be avoided, only ameliorated by array recordings with
 == Typical usage ==

@@ Line 75: / Line 75: @@
 is a fully cyclic pattern. <math>k_{max}</math> then corresponds to the distance in wavenumber domain
 between any exact repetition of the main lobe pattern along the 1-D axis of propagation.
 == Typical usage ==

@@ Line 71: / Line 71: @@
 <math>k_{max}</math> is used to describe the proximity of grating lobes (or strong side lobes)
-in the array response to the main lobe position.
+in the array response to the main lobe position. The definition of a grating lobe is most simple
 == Typical usage ==

← Older revision		Revision as of 14:53, 11 March 2010
Line 69:		Line 69:

	== <math>k_{max}</math> ==		== <math>k_{max}</math> ==
		+
		+	<math>k_{max}</math> is used to describe the proximity of grating lobes (or strong side lobes)
		+	in the array response to the main lobe position.

	== Typical usage ==		== Typical usage ==

@@ Line 72: / Line 72: @@
 == Typical usage ==
-[[warangps]] will mostly be used for designed an array with particualr properties or to predict the capabilities on
+[[Image:WarangpsEdit.png|thumb|right|250px|Enabling station editing function in station map]]
 a planned array setting in advance. [[warangps]] replaces the older tool '''build_array''' with reduced functionality
 with regard to the exploration of the array response function. However, the added value of [[warangps]] and its true
 power lies in the direct applicability for in-filed determination of station coordinates and immediate display of the
 array response function, thus allowing for the detection of array geometry deficiencies and improving the array capabilities by
-re-location of individual stations in an uran environment.
+re-location of individual stations in an urban environment.
 For testing, one can interactively move individual stations in the station map view (lower left figure) by right click
-on the figure and enabling the station edit mode.
+on the figure and enabling the station edit mode (see menu to the right). The cursor will change its appearance and

← Older revision		Revision as of 14:37, 11 March 2010
Line 71:		Line 71:

	== Typical usage ==		== Typical usage ==
		+
		+	[[warangps]] will mostly be used for designed an array with particualr properties or to predict the capabilities on
		+	a planned array setting in advance. [[warangps]] replaces the older tool '''build_array''' with reduced functionality
		+	with regard to the exploration of the array response function. However, the added value of [[warangps]] and its true
		+	power lies in the direct applicability for in-filed determination of station coordinates and immediate display of the
		+	array response function, thus allowing for the detection of array geometry deficiencies and improving the array capabilities by
		+	re-location of individual stations in an uran environment.
		+
		+	For testing, one can interactively move individual stations in the station map view (lower left figure) by right click
		+	on the figure and enabling the station edit mode.

@@ Line 58: / Line 58: @@
 the effective aperture of the array geometry varies with the direction of plane wave propagation.
 Note that, as mentioned above, the true resolution capability may be better or worse, depending on
 the wave field properties (number of plane waves in analysis window) and signal properties (correlated signals).
 You can use the graphical tool [[Gpfksimulator|gpfksimulator]] allows
 you to do so and explore by yourself the problem of [[Multiple plane wave arrivals|multiple plane wave arrivals]].
-Given ''just'' two not-correlated (outphased) plane wave arrivals
+By our experience from ambient vibration experiments with synthetic (ground truth) data, the resolution capability
 == <math>k_{max}</math> ==
 == Typical usage ==

@@ Line 31: / Line 31: @@
 Besides the ARF, there are two more useful visualizations derived from the array response function:
-* Directly below the ARF figure, 1-D cross sections along different look directions for the wave propagation are plotted. The grey lines in the background show cross sections in all directions in 2 degree steps. The black curve displays a cross section along the direction chosen in the '''Azimuth''' spin box located on the right below the drawing area. The black curve is only drawn in between the two circles for [[Warangps#kmin|<math>k_{min}</math>]] and [[Warangps#kmax|<math>k_{max}</math>]].
+* Directly below the ARF figure, 1-D cross sections along different look directions for the wave propagation are plotted. The grey lines in the background show cross sections in all directions in 2 degree steps. The black curve displays a cross section along the direction chosen in the '''Azimuth''' spin box located on the right below the drawing area. The black curve is only drawn in between the two circles for [[Warangps#kmin|<math>k_{min}</math>]] and [[Warangps#kmax|<math>k_{max}</math>]]. [[Image:WarangpsFKResponseKminKmaxAzm.png|400px]]
 * On the lower right of the drawing area, you will find a display of 4 distinct wavenumber values, <math>k_{min}/2</math>, [[Warangps#kmin|<math>k_{min}</math>]], <math>k_{max}/2</math>, [[Warangps#kmax|<math>k_{max}</math>]], as curves in frequency vs. slowness which finally provide information on the capabilities of the array geometry in terms of resolution and expected aliasing features (see below [[Warangps#kmin|<math>k_{min}</math>]] and [[Warangps#kmin|<math>k_{max}</math>]]). The intention of this plot is to export the layer of this curve that can then be overlaid to the display of f-k analysis results in [[max2curve]].

@@ Line 53: / Line 53: @@
 k_{min} = \frac{2\pi}{D_{max}}
 </math>
 The graphical tool [[Gpfksimulator|gpfksimulator]] allows

Warangps - Revision history

Mao: /* k_{max} */

Mao: /* k_{max} */

Mao: /* k_{max} */

Mao: /* k_{max} */

Mao: /* Typical usage */

Mao: /* Typical usage */

Mao: /* k_{min} */

Mao: /* k_{min} */

Mao: /* Loading coordinates */

Mao: /* k_{min} */

Mao: /* $k_{max}$ */

Mao: /* $k_{max}$ */

Mao: /* $k_{max}$ */

Mao: /* $k_{max}$ */

Mao: /* $k_{min}$ */

Mao: /* $k_{min}$ */

Mao: /* $k_{min}$ */