[转载]matlab 中smooth函数原理_仿真派王博士

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[转载]matlab 中smooth函数原理

(2017-06-23 20:58:40)

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原文地址：matlab 中smooth函数原理作者：marine

转：http://powerelite.blog.163.com/blog/static/429658912013459306166/

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smooth Smooth data.

Z = smooth(Y) smooths data Y using a 5-point moving average.

Z = smooth(Y,SPAN) smooths data Y using SPAN as the number of points used

to compute each element of Z.

Z = smooth(Y,SPAN,METHOD) smooths data Y with specified METHOD. The

available methods are:

'moving' - Moving average (default)

'lowess' - Lowess (linear fit)

'loess' - Loess (quadratic fit)

'sgolay' - Savitzky-Golay

'rlowess' - Robust Lowess (linear fit)

'rloess' - Robust Loess (quadratic fit)

Z = smooth(Y,METHOD) uses the default SPAN 5.

Z = smooth(Y,SPAN,'sgolay',DEGREE) and Z = smooth(Y,'sgolay',DEGREE)

additionally specify the degree of the polynomial to be used in the

Savitzky-Golay method. The default DEGREE is 2. DEGREE must be smaller

than SPAN.

Z = smooth(X,Y,...) additionally specifies the X coordinates. If X is

not provided, methods that require X coordinates assume X = 1:N, where

N is the length of Y.

Notes:

1. When X is given and X is not uniformly distributed, the default method

is 'lowess'. The 'moving' method is not recommended.

2. For the 'moving' and 'sgolay' methods, SPAN must be odd.

If an even SPAN is specified, it is reduced by 1.

3. If SPAN is greater than the length of Y, it is reduced to the

length of Y.

4. In the case of (robust) lowess and (robust) loess, it is also

possible to specify the SPAN as a percentage of the total number

of data points. When SPAN is less than or equal to 1, it is

treated as a percentage.

For example:

Z = smooth(Y) uses the moving average method with span 5 and

X=1:length(Y).

Z = smooth(Y,7) uses the moving average method with span 7 and

X=1:length(Y).

Z = smooth(Y,'sgolay') uses the Savitzky-Golay method with DEGREE=2,

SPAN = 5, X = 1:length(Y).

Z = smooth(X,Y,'lowess') uses the lowess method with SPAN=5.

Z = smooth(X,Y,SPAN,'rloess') uses the robust loess method.

Z = smooth(X,Y) where X is unevenly distributed uses the

'lowess' method with span 5.

Z = smooth(X,Y,8,'sgolay') uses the Savitzky-Golay method with

span 7 (8 is reduced by 1 to make it odd).

Z = smooth(X,Y,0.3,'loess') uses the loess method where span is

30% of the data, i.e. span = ceil(0.3*length(Y)).

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