Programmer Guide/Command Reference/EVAL/optmm: Difference between revisions
From STX Wiki
< Programmer Guide | Command Reference | EVAL
Jump to navigationJump to search
No edit summary |
No edit summary |
||
Line 13: | Line 13: | ||
:*The smoothed output is computed as follows: | :*The smoothed output is computed as follows: | ||
::<math>r[i]=\sum_{j=-M}^M \sum_{k=-N}^N a[i+j,N+k]*w[M+j,N+k]</math> | ::<math>r[i]=\sum_{j=-M}^M \sum_{k=-N}^N a[i+j,N+k]*w[M+j,N+k]</math> | ||
::with: <code>i=0..nrow(''a'')-1</code>; <code>''a''[i+j]=0 if <code>i+j<0</code> or <code>i+j>=nrow(''a'')</code> | ::with: <code>i=0..nrow(''a'')-1</code>; <code>''a''[i+j]=0</code> if <code>i+j<0</code> or <code>i+j>=nrow(''a'')</code> | ||
;Result: The vector ''r'' with the length <code>nrow(''a'')</code>, containing the smooth filter spectrum. | ;Result: The vector ''r'' with the length <code>nrow(''a'')</code>, containing the smooth filter spectrum. |
Revision as of 13:29, 20 April 2011
Smooth multiplier matrix using a two dimensional convolution. The function optmm</comp> was especially implemented for the script application MulAc.
- Usage
optmm(mflag, a, w)
- mflag
- selects the method used to modify the multiplier matrix; currently only the method mflag=0 is implemented
- a
- The multiplier matrix. Each row a[i] contains one linear filter spectrum to be applied to a signal.
- w
- The smoothing matrix, containg a two dimensional a smoothing function.
- Description
-
nrow(w) = 2M+1
and nrow(a) >> M
ncol(w) = 2N+1
and ncol(w) = ncol(a)
- The matrix w contains the weighting function, with the maximum at w[M,N] and which should be symetrical in both dimensions.
w[M-i,N-j]=w[M-i,N+j]=w[M+i,N-j]=w[M+i,N+j]; with: i=1..M, j=1..N
- The smoothed output is computed as follows:
- with:
i=0..nrow(a)-1
; a[i+j]=0
if i+j<0
or i+j>=nrow(a)
- Result
- The vector r with the length
nrow(a)
, containing the smooth filter spectrum.
- See also
- hcomb, cvphase, script application MulAc