Smoothing details - Revision history

Marc at 16:22, 14 April 2012

2012-04-14T16:22:20Z

Mao at 16:11, 12 March 2010

2010-03-12T16:11:44Z

Bertrand Guillier at 16:07, 10 March 2010

2010-03-10T16:07:52Z

Bertrand Guillier: New page: The Konno and Ohmachi (1999) smoothing id defined by the following function: 100px, where: f is the frequency fc is the central frequency *b is the...

2010-03-10T15:00:29Z

New page: The Konno and Ohmachi (1999) smoothing id defined by the following function: 100px, where: *f is the frequency *fc is the central frequency *b is the...

New page

The Konno and Ohmachi (1999) smoothing id defined by the following function: [[Image:Konno_Ohmachi_formula.png|100px]], where:

*f is the frequency

*fc is the central frequency

*b is the bandwidth coefficient.

As the Konno and Ohmachi smoothing function preserves the different number of points at low and high frequency, it use is strongly recommended for works on frequency analysis.

[[Image:Konno_Ohmachi_vs_triangle_smoothing.png|thumb|center|300px|this smoothing is recommanded because this function preserves the different number of points at low and high frequency]]

@@ Line 1: / Line 1: @@
-The Konno and Ohmachi (1998) smoothing id defined by the following function: <!--[[Image:Konno_Ohmachi_formula.png|100px]]-->
+The Konno and Ohmachi (1998) <ref name="Konno and Ohmachi (1998)">Konno, K. and Omachi, T., 1998, Bull. Seism. Soc. Am., 88, 228-241.</ref> smoothing is defined by the following function: <!--[[Image:Konno_Ohmachi_formula.png|100px]]-->
-<math>\frac{\sin(\log_{10}(\frac{f}{f_c})^b)}{((\log_{10}(\frac{f}{f_c})^b)^4}</math>, where:
+<math>\left(\frac{\sin(b\log_{10}(\frac{f}{f_c})}{b\log_{10}(\frac{f}{f_c})}\right)^4</math>, where:
-*f is the frequency
+* <math>f</math> is the frequency
-*fc is the central frequency
+* <math>f_c</math> is the central frequency
-*b is the bandwidth coefficient.
+* <math>b</math> is the bandwidth coefficient.
-As the Konno and Ohmachi smoothing function preserves the different number of points at low and high frequency, it use is strongly recommended for works on frequency analysis.
+Konno and Ohmachi smoothing function is strongly recommended for frequency analysis because it ensures a constant number points at low and high frequency.
-[[Image:Konno_Ohmachi_vs_triangle_smoothing.png|thumb|center|300px|''Konno and Ohmachi'' smoothing is recommanded because this function preserves the different number of points at low and high frequency]]
+== References ==

← Older revision		Revision as of 16:11, 12 March 2010
Line 1:		Line 1:
−	The Konno and Ohmachi (1998) smoothing id defined by the following function: [[Image:Konno_Ohmachi_formula.png\|100px]], where:	+	The Konno and Ohmachi (1998) smoothing id defined by the following function: <!--[[Image:Konno_Ohmachi_formula.png\|100px]]-->
		+	<math>\frac{\sin(\log_{10}(\frac{f}{f_c})^b)}{((\log_{10}(\frac{f}{f_c})^b)^4}</math>, where:

	*f is the frequency		*f is the frequency

@@ Line 1: / Line 1: @@
-The Konno and Ohmachi (1999) smoothing id defined by the following function: [[Image:Konno_Ohmachi_formula.png|100px]], where:
+The Konno and Ohmachi (1998) smoothing id defined by the following function: [[Image:Konno_Ohmachi_formula.png|100px]], where:
 *f is the frequency
@@ Line 10: / Line 10: @@
-[[Image:Konno_Ohmachi_vs_triangle_smoothing.png|thumb|center|300px|this smoothing is recommanded because this function preserves the different number of points at low and high frequency]]
+[[Image:Konno_Ohmachi_vs_triangle_smoothing.png|thumb|center|300px|''Konno and Ohmachi'' smoothing is recommanded because this function preserves the different number of points at low and high frequency]]

Smoothing details - Revision history

Marc at 16:22, 14 April 2012

Mao at 16:11, 12 March 2010

Bertrand Guillier at 16:07, 10 March 2010

Bertrand Guillier: New page: The Konno and Ohmachi (1999) smoothing id defined by the following function: 100px, where: *f is the frequency *fc is the central frequency *b is the...

Bertrand Guillier: New page: The Konno and Ohmachi (1999) smoothing id defined by the following function: 100px, where: f is the frequency fc is the central frequency *b is the...