Programmer Guide/SPU Reference/LIMITER - Revision history

Toni: /* [SPU LIMITER X TYPE MAX LIM OUT Y Q] */

2011-05-09T09:54:12Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:54, 9 May 2011
Line 17:		Line 17:
	\|<var>Y</var>\|\|limited signal\|\|same type as <var>A</var>\|\|variable		\|<var>Y</var>\|\|limited signal\|\|same type as <var>A</var>\|\|variable
	\|-		\|-
	\|<var>Q</var>\|\|~~overload ratio~~\|\|number\|\|variable		\|<var>Q</var>\|\|relative number of limited samples\|\|number\|\|variable
	\|}		\|}
	;Description:		;Description:
Line 42:		Line 42:


	The output <var>Q</var> ~~(overload ratio)~~ is set to the relative number of limited (changed) samples.		The output <var>Q</var> is set to the relative number of limited (changed) samples.
	:<math>Q = \frac{changedSamples}{processedSamples}</math>		:<math>Q = \frac{changedSamples}{processedSamples}</math>

2011-05-09T09:53:05Z

← Older revision		Revision as of 11:53, 9 May 2011
Line 26:		Line 26:
	\end{cases}		\end{cases}
	</math>		</math>
	The limiter function is selected by the input <var>TYPE</var>.		The absolute magitude of the limited signal is always lower than <var>MAX</var>. The limiter function is selected by the input <var>TYPE</var>.
	:{\|class="einrahmen"		:{\|class="einrahmen"
	!<var>TYPE</var> !!limiter function ''f''(''z''<sub>i</sub>)		!<var>TYPE</var> !!limiter function ''f''(''z''<sub>i</sub>)

2011-05-09T09:51:17Z

← Older revision		Revision as of 11:51, 9 May 2011
Line 1:		Line 1:
	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	Apply limiter function to a signal.		Apply a non-linear limiter function to a signal.
	==<code>[SPU LIMITER <var>X TYPE MAX LIM</var> OUT <var>Y Q</var>]</code>==		==<code>[SPU LIMITER <var>X TYPE MAX LIM</var> OUT <var>Y Q</var>]</code>==
	{\|class="einrahmen"		{\|class="einrahmen"
Line 39:		Line 39:
	\|<math>1-(1-k) \cdot e^{-\frac{z-k}{1-k}}</math>		\|<math>1-(1-k) \cdot e^{-\frac{z-k}{1-k}}</math>
	\|}		\|}
	:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>		:with: <math>z_i = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>

2011-05-09T09:50:22Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:50, 9 May 2011
Line 23:		Line 23:
	:<math>y_i = \begin{cases}		:<math>y_i = \begin{cases}
	x_i & \mbox{ if }\|x_i\| \leqslant LIM \\		x_i & \mbox{ if }\|x_i\| \leqslant LIM \\
	sign(x_i).f(\frac{\|x_i\|}{MAX}) & \mbox{ otherwise}		sign(x_i).f \left ( \frac{\|x_i\|}{MAX} \right ) & \mbox{ otherwise}
	\end{cases}		\end{cases}
	</math>		</math>

2011-05-09T09:49:21Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:49, 9 May 2011
Line 37:		Line 37:
	\|-		\|-
	\|<code>2</code> or <code>EXPONENTIAL</code>		\|<code>2</code> or <code>EXPONENTIAL</code>
	\|<math>1-(1-k) \cdot e^{-\frac{z-k}{1-k}\!}</math>		\|<math>1-(1-k) \cdot e^{-\frac{z-k}{1-k}}</math>
	\|}		\|}
	:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>		:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>

2011-05-09T09:48:22Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:48, 9 May 2011
Line 37:		Line 37:
	\|-		\|-
	\|<code>2</code> or <code>EXPONENTIAL</code>		\|<code>2</code> or <code>EXPONENTIAL</code>
	\|<math>1-(1-k) \cdot e^{\!-\frac{z-k}{1-k}}</math>		\|<math>1-(1-k) \cdot e^{-\frac{z-k}{1-k}\!}</math>
	\|}		\|}
	:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>		:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>

2011-05-09T09:47:46Z

← Older revision		Revision as of 11:47, 9 May 2011
Line 37:		Line 37:
	\|-		\|-
	\|<code>2</code> or <code>EXPONENTIAL</code>		\|<code>2</code> or <code>EXPONENTIAL</code>
	\|<math>1-(1-k) \cdot e^{-frac{z-k}{1-k}}</math>		\|<math>1-(1-k) \cdot e^{\!-\frac{z-k}{1-k}}</math>
	\|}		\|}
	:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>		:with: <math>z = \frac{\|x_i\|}{MAX}, k = \frac{LIM}{MAX}</math>

2011-05-09T09:47:23Z

@@ Line 36: / Line 36: @@
 |<math>k+(1-k) \cdot \frac{2}{\pi} \cdot atan\left ( \frac{z-k}{1-k} \cdot \frac{\pi}{2} \right )</math>
 |-
+|<code>2</code> or <code>EXPONENTIAL</code>
 |}
 :with: <math>z = \frac{|x_i|}{MAX}, k = \frac{LIM}{MAX}</math>
 The output <var>Q</var> (overload ratio) is set to the relative number of limited (changed) samples.
+:<math>Q = \frac{changedSamples}{processedSamples}</math>
 ;See also:
 <[[../#Signal Processing Atoms|SP-atoms]]>
 <!-- AN, 2.5.2011 -->

2011-05-09T09:43:35Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:43, 9 May 2011
Line 34:		Line 34:
	\|-		\|-
	\|<code>1</code> or <code>ATAN</code>		\|<code>1</code> or <code>ATAN</code>
	\|<math>k+(1-k).\frac{2}{\pi}.atan\left ( \frac{z-k}{1-k}.\frac{\pi}{2} \right )</math>		\|<math>k+(1-k) \cdot \frac{2}{\pi} \cdot atan\left ( \frac{z-k}{1-k} \cdot \frac{\pi}{2} \right )</math>
	\|-		\|-
	\|		\|

2011-05-09T09:41:02Z

[SPU LIMITER X TYPE MAX LIM OUT Y Q]

← Older revision		Revision as of 11:41, 9 May 2011
Line 28:		Line 28:
	The limiter function is selected by the input <var>TYPE</var>.		The limiter function is selected by the input <var>TYPE</var>.
	:{\|class="einrahmen"		:{\|class="einrahmen"
	!<var>TYPE</var> !!limiter function ''f''(''z''<sub>i<sub>)		!<var>TYPE</var> !!limiter function ''f''(''z''<sub>i</sub>)
	\|-		\|-
	\|<code>0</code> or <code>RECTANGLE</code>		\|<code>0</code> or <code>RECTANGLE</code>
Line 34:		Line 34:
	\|-		\|-
	\|<code>1</code> or <code>ATAN</code>		\|<code>1</code> or <code>ATAN</code>
	\|<math>k+(1-k).\frac{2}{\pi}.atan(\frac{z-k}{1-k}.\frac{\pi}{2})</math>		\|<math>k+(1-k).\frac{2}{\pi}.atan\left ( \frac{z-k}{1-k}.\frac{\pi}{2} \right )</math>
	\|-		\|-
	\|		\|