Programmer Guide/Command Reference/EVAL/map2map - Revision history

193.171.195.48 at 10:17, 21 April 2011

2011-04-21T10:17:50Z

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	;Result 2:A LxM matrix containing the interpolated map ''y''.		;Result 2:A LxM matrix containing the interpolated map ''y''.
	----		----
			;See also: [[../rpolyreg\|rpolyreg]], [[../qinterp\|qinterp]], [[../interp\|interp]]

	~~;See also:~~ [[~~Programmer_Guide~~/~~Command_Reference/EVAL/rpolyreg\|rpolyreg]], [[Programmer_Guide/Command_Reference/EVAL/qinterp\|qinterp]], [[Programmer_Guide/Command_Reference/EVAL/interp\|interp]]~~		[[../#Functions\|<function list>]]

	~~[[Programmer_Guide/Command_Reference/EVAL~~#Functions\|<function list>]]

Christian at 14:14, 13 April 2011

2011-04-13T14:14:17Z

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	:;<var>x</var>:a NxM matrix containing the input map		:;<var>x</var>:a NxM matrix containing the input map
	:;<var>nc</var>:a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map		:;<var>nc</var>:a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map
	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 ≤ ''nc''[i] ≤ M; with: i=0..N-1</code>
	;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.		;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.
	:;Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[i,*] is stored in ''nc''[i].		:;Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[i,*] is stored in ''nc''[i].

193.171.195.48 at 09:01, 12 April 2011

2011-04-12T09:01:12Z

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	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]



	~~//-----~~
	~~// Map2Map(Type_s=0, X_m, NCol_v {, PRow_v})~~
	//
	~~// Type_s=0 expand all rows to equal length (use linear interpolation)~~
	~~// if PRow_v is specified: map varying row distances to fixed grid (use linear interpolation)~~
	//
	~~// X_m input map (N rows, M columns) N > 2, M > 2~~
	~~// NCol_v NCol_v[n] = the number of used columns in row X_m[n,*]; 0 <= n < N, 2 < NCol[n] < M~~
	~~// PRow_v XRow_v[n] = the relative position of row X_m[n,*]; 0 <= n < N, PRow_[0] < PRow[1] < .. < PRow[N-2] < PRow[NX-1]~~
	//
	~~// result: without PRow_v: Y_m (N rows, M columns)~~
	~~// with PRow_v: Y_m (NY rows, M columns); NY := int ( (PRow_v[N-1] - PRow_v[0]) / min(PRow_v) ) + 1~~
	~~//-----~~

193.171.195.48 at 09:00, 12 April 2011

2011-04-12T09:00:19Z

← Older revision		Revision as of 11:00, 12 April 2011
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	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.		;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.
	:;Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].		:;Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[i,*] is stored in ''nc''[i].
	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----
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	::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>		::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>
	;Description: First the vectors ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.		;Description: First the vectors ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.
	::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])		::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])</code>
	:;Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center ~~positions (or starting time)~~ of the i-th analysis window.		:;Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[i,*] is stored in ''nc''[i] and the value ''pr''[i] is set to the center position of the i-th analysis window.
	;Result 2:A LxM matrix containing the interpolated map ''y''.		;Result 2:A LxM matrix containing the interpolated map ''y''.
	----		----

193.171.195.48 at 08:59, 12 April 2011

2011-04-12T08:59:18Z

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	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.		;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.
	:Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].		:;Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].
	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----
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	;Description: First the vectors ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.		;Description: First the vectors ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.
	::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])		::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])
	:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center positions (or starting time) of the i-th analysis window.		:;Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center positions (or starting time) of the i-th analysis window.
	;Result 2:A LxM matrix containing the interpolated map ''y''.		;Result 2:A LxM matrix containing the interpolated map ''y''.
	----		----

193.171.195.48 at 08:57, 12 April 2011

2011-04-12T08:57:56Z

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	:;<var>nc</var>:a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map		:;<var>nc</var>:a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map
	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each ~~column~~ i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all ~~column~~ vectors to the length M.		;Description: Each row i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all vectors to the length M.
	:Example: ''x'' contains a spectrogram. The spectra ~~stored in the columns of ''x''~~ are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].		:Example: ''x'' contains a spectrogram. The spectra are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].
	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----
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	:;<var>pr</var>:a vector with length N; the value ''pr''[i] specifies the relative position of the function stored in the row ''x''[i,*] of the input map.		:;<var>pr</var>:a vector with length N; the value ''pr''[i] specifies the relative position of the function stored in the row ''x''[i,*] of the input map.
	::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>		::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>
	;Description: First the ~~spectra stored in the columns~~ ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.		;Description: First the vectors ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.
	::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])		::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])
	:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center positions (or starting time) of the i-th analysis window.		:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center positions (or starting time) of the i-th analysis window.

193.171.195.48 at 08:54, 12 April 2011

2011-04-12T08:54:00Z

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	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.		;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.
	:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with constant hopsize, but different transformation length.		:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with constant hopsize, but different transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i].
	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----
	;Usage 1:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>, <var>pr</var>)</code>		;Usage 2:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>, <var>pr</var>)</code>
	:;<var>type, x, nc</var>:see '''Usage 1'''		:;<var>type, x, nc</var>:see '''Usage 1'''
	:;<var>pr</var>a vector with length N; the value ''pr''[i] specifies the relative position of the function stored in the row ''x''[i,*] of the input map. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.		:;<var>pr</var>:a vector with length N; the value ''pr''[i] specifies the relative position of the function stored in the row ''x''[i,*] of the input map.
			::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>
			;Description: First the spectra stored in the columns ''x''[i,*] are expanded as described above. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.
	::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])		::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])
	::~~<code>~~''pr''[0] < ''pr''[1] ~~< .. <~~ ''pr''[N-~~1]</code>~~		:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with varying hopsize and transformation length. The length of each spectrum ''x''[*,i] is stored in ''nc''[i] and the value ''pr''[i] is set to the center positions (or starting time) of the i-th analysis window.
	;Result 1:A LxM matrix containing the interpolated map ''y''.		;Result 2:A LxM matrix containing the interpolated map ''y''.
	----		----

193.171.195.48 at 08:48, 12 April 2011

2011-04-12T08:48:20Z

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	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----
	;Usage 1:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>)</code>		;Usage 1:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>, <var>pr</var>)</code>
	:;<var>type, x, nc</var>:see '''Usage 1'''		:;<var>type, x, nc</var>:see '''Usage 1'''
	:;<var>pr</var>a vector with length N; the value ''nc''[i] specifies the ~~number~~ of ~~used columns~~ in the row ''x''[i,*] of the input map		:;<var>pr</var>a vector with length N; the value ''pr''[i] specifies the relative position of the function stored in the row ''x''[i,*] of the input map. In the second step interpolated rows are inserted to create a map with equidistant rows. The number of rows L of the interpolated map ''y'' depends on the range of the ''pr'' values and the minimum distance of two neighboring values of ''pr''.
	::<code>~~2 <~~= ''nc''[i] ~~<= M; with:~~ i~~=0..N~~-1</code>		::<code>L = (''pr''[N-1] - ''pr''[0]) / min(''pr''[i] - ''pr''[i-1])
	~~;Description: Each column i of the input map contains a data vector {~~''x''[i,0]~~, ..,~~ ''x''[''~~i,''nc~~''[i]-1]~~}. A linear interpolation is used to expand all column vectors to the length M.~~		::<code>''pr''[0] < ''pr''[1] < .. < ''pr''[N-1]</code>
	;Result 1:A ~~NxM~~ matrix containing the interpolated map ''y''.		;Result 1:A LxM matrix containing the interpolated map ''y''.

	----		----

193.171.195.48 at 08:38, 12 April 2011

2011-04-12T08:38:03Z

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	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.		;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.
	E.~~g.:~~ The ''x'' ~~column~~		:Example: ''x'' contains a spectrogram. The spectra stored in the columns of ''x'' are computed with constant hopsize, but different transformation length.
	;Result 1:A NxM matrix containing the interpolated map ''y''.		;Result 1:A NxM matrix containing the interpolated map ''y''.
	----		----

193.171.195.48 at 08:35, 12 April 2011

2011-04-12T08:35:21Z

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	;Usage 1:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>)</code>		;Usage 1:<code>map2map(<var>type</var>, <var>x</var>, <var>nc</var>)</code>
	:;<var>type</var>:this argument must be set to '''0'''; it will be used in future to select the format of the input data and/or the remapping algorithm		:;<var>type</var>:this argument must be set to '''0'''; it will be used in future to select the format of the input data and/or the remapping algorithm
	:;<var>x</var>a NxM matrix containing the input map		:;<var>x</var>:a NxM matrix containing the input map
	:;<var>nc</var>a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map		:;<var>nc</var>:a vector with length N; the value ''nc''[i] specifies the number of used columns in the row ''x''[i,*] of the input map
	::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>		::<code>2 <= ''nc''[i] <= M; with: i=0..N-1</code>
	;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.		;Description: Each column i of the input map contains a data vector {''x''[i,0], .., ''x''[''i,''nc''[i]-1]}. A linear interpolation is used to expand all column vectors to the length M.