Programmer Guide/SPU Reference/ZEROCROSS - Revision history

Toni at 11:30, 9 May 2011

2011-05-09T11:30:29Z

← Older revision		Revision as of 13:30, 9 May 2011
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	\|number of zero crossings		\|number of zero crossings
	\|}		\|}
	Note: If ''Z'' ~~is lower than~~ 2, ~~the output~~ <var>Y</var> is set to ~~zero~~.		Note: To compute density, frequency or periode, the value of ''Z'' (number of zero crossings) must be greater than 1. If ''Z''<2 and <var>TYPE</var> equals <code>DENSITY</code>, <code>FREQUENCY</code> or <code>PERIODE</code>, <var>Y</var> is set to 0.
	;See also:		;See also:
	<[[../#Signal Processing Atoms\|SP-atoms]]>		<[[../#Signal Processing Atoms\|SP-atoms]]>
	<!-- AN, 2.5.2011 -->		<!-- AN, 2.5.2011 -->

Toni at 11:26, 9 May 2011

2011-05-09T11:26:50Z

← Older revision		Revision as of 13:26, 9 May 2011
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	\|number of zero crossings		\|number of zero crossings
	\|}		\|}
			Note: If ''Z'' is lower than 2, the output <var>Y</var> is set to zero.
	;See also:		;See also:
	<[[../#Signal Processing Atoms\|SP-atoms]]>		<[[../#Signal Processing Atoms\|SP-atoms]]>
	<!-- AN, 2.5.2011 -->		<!-- AN, 2.5.2011 -->

Toni: /* [SPU ZEROCROSS X SR XMIN TYPE OUT Y] */

2011-05-09T11:25:03Z

[SPU ZEROCROSS X SR XMIN TYPE OUT Y]

← Older revision		Revision as of 13:25, 9 May 2011
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	\|<math>periode=\frac{2}{density}=\frac{2}{SR}\cdot\frac{I_N-I_1+1}{Z-1}</math>		\|<math>periode=\frac{2}{density}=\frac{2}{SR}\cdot\frac{I_N-I_1+1}{Z-1}</math>
	\|periode duration in seconds		\|periode duration in seconds
			\|-
			\|<code>3</code> or <code>COUNT</code>
			\|<math>count=Z\!</math>
			\|number of zero crossings
	\|}		\|}
	;See also:		;See also:
	<[[../#Signal Processing Atoms\|SP-atoms]]>		<[[../#Signal Processing Atoms\|SP-atoms]]>
	<!-- AN, 2.5.2011 -->		<!-- AN, 2.5.2011 -->

Toni at 11:24, 9 May 2011

2011-05-09T11:24:06Z

← Older revision		Revision as of 13:24, 9 May 2011
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	\|<math>frequency=\frac{density}{2}=\frac{SR}{2}\cdot\frac{Z-1}{I_N-I_1+1}</math>		\|<math>frequency=\frac{density}{2}=\frac{SR}{2}\cdot\frac{Z-1}{I_N-I_1+1}</math>
	\|frequeny in Hz		\|frequeny in Hz
			\|-
			\|<code>2</code> or <code>PERIODE</code>
			\|<math>periode=\frac{2}{density}=\frac{2}{SR}\cdot\frac{I_N-I_1+1}{Z-1}</math>
			\|periode duration in seconds
	\|}		\|}
	;See also:		;See also:
	<[[../#Signal Processing Atoms\|SP-atoms]]>		<[[../#Signal Processing Atoms\|SP-atoms]]>
	<!-- AN, 2.5.2011 -->		<!-- AN, 2.5.2011 -->

Toni: /* [SPU ZEROCROSS X SR XMIN TYPE OUT Y] */

2011-05-09T11:22:35Z

[SPU ZEROCROSS X SR XMIN TYPE OUT Y]

@@ Line 21: / Line 21: @@
 In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>XMIN</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>XMIN</var>&gt;0 the absolute signal magnitude has to exceed this value between two zero crossings.
-To compute more exact density, frequency and periode values, also the index (position) of the first (I<sub>1</sub>) and last (I<sub>N</sub>) zero crossing is computed.
+To get more exact density, frequency and periode values, also the index (position) of the first (I<sub>1</sub>) and last (I<sub>N</sub>) zero crossing is computed.
@@ Line 28: / Line 28: @@
 |-
 |<code>0</code> or <code>DENSITY</code>
-|<math>SR\cdot\frac{Z-1}{I_N-I_1+1}</math>
+|<math>density=SR\cdot\frac{Z-1}{I_N-I_1+1}</math>
-|density; number of zero crossings per second
+|number of zero crossings per second
 |}
 ;See also:
 <[[../#Signal Processing Atoms|SP-atoms]]>
 <!-- AN, 2.5.2011 -->

Toni at 11:17, 9 May 2011

2011-05-09T11:17:34Z

← Older revision		Revision as of 13:17, 9 May 2011
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	\|-		\|-
	\|<code>0</code> or <code>DENSITY</code>		\|<code>0</code> or <code>DENSITY</code>
	\|<math>SR<\cdot\frac{Z-1}{I_N-I_1+1}</math>		\|<math>SR\cdot\frac{Z-1}{I_N-I_1+1}</math>
	\|density; number of zero crossings per second		\|density; number of zero crossings per second
	\|}		\|}

Toni at 11:17, 9 May 2011

2011-05-09T11:17:20Z

← Older revision		Revision as of 13:17, 9 May 2011
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	In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>XMIN</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>XMIN</var>>0 the absolute signal magnitude has to exceed this value between two zero crossings.		In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>XMIN</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>XMIN</var>>0 the absolute signal magnitude has to exceed this value between two zero crossings.
			To compute more exact density, frequency and periode values, also the index (position) of the first (I<sub>1</sub>) and last (I<sub>N</sub>) zero crossing is computed.


	{\|class="einrahmen"		{\|class="einrahmen"
	~~!output !~~!<var>~~NORM~~</var~~>=<code>0</code~~> !!<var>~~NORM~~</var~~>=<code>1</code~~> !!description		!<var>TYPE</var> !!<var>Y</var> !!description
	\|-
	~~\|<var>M1</var>~~
	~~\|<math>\mu\!</math>~~
	~~\|<math>\mu\!</math>~~
	~~\|mean: <math>\mu = \frac{\sum_{i=0}^{N-1} x_i px_i}{\sum_{i=0}^{N-1} px_i}</math>~~
	\|-
	~~\|<var>M2</var>~~
	~~\|<math>V\!</math>~~
	~~\|<math>\frac{V}{\mu}</math>~~
	~~\|variance: <math>\sigma^2 = V = \frac{\sum_{i=0}^{N-1}(x_i-\mu)^2px_i}{\sum_{i=0}^{N-1} px_i}</math>~~
	\|-
	~~\|<var>M3</var>~~
	~~\|<math>S\!</math>~~
	~~\|<math>\frac{S}{\sqrt{V^3}}</math>~~
	~~\|skewness: <math>S = \frac{\sum_{i=0}^{N-1}(x_i-\mu)^3px_i}{\sum_{i=0}^{N-1} px_i}</math>~~
	\|-		\|-
	\|<~~var~~>M4</~~var~~>		\|<code>0</code> or <code>DENSITY</code>
	\|<~~math~~>~~K\!~~</~~math~~>		\|<math>SR<\cdot\frac{Z-1}{I_N-I_1+1}</math>
	\|<math>\~~frac{K}{V^2}</math>~~		\|density; number of zero crossings per second
	~~\|kurtosis: <math>K =~~ \frac{~~\sum_{i=0}^{N~~-1~~}(x_i-\mu)^4px_i~~}{~~\sum_{i=0}^{N~~-1~~} px_i~~}</math>
	\|}		\|}
	;See also:		;See also:

Toni at 11:10, 9 May 2011

2011-05-09T11:10:22Z

← Older revision		Revision as of 13:10, 9 May 2011
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	;Description:		;Description:

	In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>~~xmin~~</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>~~xmin~~</var>>0 the signal has to exceed ~~a certain absolute~~ value ~~if another point is to be counted~~.		In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>XMIN</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>XMIN</var>>0 the absolute signal magnitude has to exceed this value between two zero crossings.



	{\|class="einrahmen"		{\|class="einrahmen"

Toni at 11:08, 9 May 2011

2011-05-09T11:08:59Z

← Older revision		Revision as of 13:08, 9 May 2011
Line 19:		Line 19:

	;Description:		;Description:

			In this atom the zero crossings ''Z'' of the signal <var>X</var> are counted and than converted to the value selected by <var>TYPE</var>. If <var>xmin</var>=0 all zero crossings, i.e. changes of signs, are counted. If <var>xmin</var>>0 the signal has to exceed a certain absolute value if another point is to be counted.

	{\|class="einrahmen"		{\|class="einrahmen"
	!output !!<var>NORM</var>=<code>0</code> !!<var>NORM</var>=<code>1</code> !!description		!output !!<var>NORM</var>=<code>0</code> !!<var>NORM</var>=<code>1</code> !!description

Toni at 11:05, 9 May 2011

2011-05-09T11:05:14Z

← Older revision		Revision as of 13:05, 9 May 2011
Line 1:		Line 1:
			{{DISPLAYTITLE:{{SUBPAGENAME}}}}
			Compute zero crossing rate.
			==<code>[SPU ZEROCROSS <var>X SR XMIN TYPE</var> OUT <var>Y</var>]</code>==
			{\|class="einrahmen"
			!input !!description !!data type !!value type!!default value
			\|-
			\|<var>X</var>\|\|signal vector\|\|vector \|\|variable \|\|
			\|-
			\|<var>SR</var>\|\|sampling rate in Hz\|\|number\|\|constant\|\|<code>1<code>
			\|-
			\|<var>XMIN</var>\|\|signal amplitude threshold\|\|number\|\|constant \|\|<code>0</code>
			\|-
			\|<var>TYPE</var>\|\|type of output value<BR>(<code>DENSITY, FREQUENCY, PERIODE, COUNT</code>)\|\|number (int.), string\|\|<code>0</code> (= <code>DENSITY</code>)
			\|-
			!output !!description !!data type !!value type!!comment
			\|-
			\|<var>Y</var>\|\|zero crossing rate converted to the selected value\|\|number\|\|variable
			\|}

			;Description:
			{\|class="einrahmen"
			!output !!<var>NORM</var>=<code>0</code> !!<var>NORM</var>=<code>1</code> !!description
			\|-
			\|<var>M1</var>
			\|<math>\mu\!</math>
			\|<math>\mu\!</math>
			\|mean: <math>\mu = \frac{\sum_{i=0}^{N-1} x_i px_i}{\sum_{i=0}^{N-1} px_i}</math>
			\|-
			\|<var>M2</var>
			\|<math>V\!</math>
			\|<math>\frac{V}{\mu}</math>
			\|variance: <math>\sigma^2 = V = \frac{\sum_{i=0}^{N-1}(x_i-\mu)^2px_i}{\sum_{i=0}^{N-1} px_i}</math>
			\|-
			\|<var>M3</var>
			\|<math>S\!</math>
			\|<math>\frac{S}{\sqrt{V^3}}</math>
			\|skewness: <math>S = \frac{\sum_{i=0}^{N-1}(x_i-\mu)^3px_i}{\sum_{i=0}^{N-1} px_i}</math>
			\|-
			\|<var>M4</var>
			\|<math>K\!</math>
			\|<math>\frac{K}{V^2}</math>
			\|kurtosis: <math>K = \frac{\sum_{i=0}^{N-1}(x_i-\mu)^4px_i}{\sum_{i=0}^{N-1} px_i}</math>
			\|}
			;See also:
			<[[../#Signal Processing Atoms\|SP-atoms]]>
			<!-- AN, 2.5.2011 -->


	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	====ZEROCROSS - zerocrossing rate====		====ZEROCROSS - zerocrossing rate====