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Legacy Documentation
Digital Image Processing
(2000)
This is documentation for an obsolete product.
Current products and services
Function Index
SmoothingFilter
SmoothingFilter[
n
,
k
]
returns a 1D linear-phase FIR smoothing filter of length
n
and order
k
.
SmoothingFilter[
n
1
,
k
1
,
n
2
,
k
2
,
...
]
returns a multidimensional linear-phase FIR smoothing filter.
The filter's coefficients are the so-called Savitzky-Golay smoothing coefficients of length
n
and order
k
. These coefficients yield the best, in the least-squares sense, approximation to a given sequence, by fitting the data samples with the
k
th order polynomial: a
0
+a
1
x + a
2
x
2
+ ...+a
k
x
k
.
Length
n
of the filter
must be odd, and n>k+1. (In effect, the degree of the polynomial must be less than the filter length.)
See also User's Guide
5.3
.
Example
This loads the package.
In[1]:=
This returns the Savitzky-Golay coefficients of order 5 and length 15.
In[2]:=
Out[2]=
This plots the filter's coefficients.
In[3]:=
Out[3]=
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