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niexianling

铜虫 (初入文坛)

[求助] matlab中std2函数计算矩阵的标准差时,分母是除以了n-1还是n?

matlab中std2函数计算矩阵的标准差时,分母是除以了n-1还是n?
这是如下代码
function s = std2(a)
%STD2 Standard deviation of matrix elements.
%   B = STD2(A) computes the standard deviation of the values in
%   A.
%
%   Class Support
%   -------------
%   A can be numeric or logical. B is a scalar of class double.
%
%   Example
%   -------
%       I = imread('liftingbody.png');
%       val = std2(I)
%
%   See also CORR2, MEAN2, MEAN, STD.

%   Copyright 1992-2010 The MathWorks, Inc.
%   $Revision: 5.19.4.6 $  $Date: 2010/09/13 16:14:04 $

% validate that our input is valid for the IMHIST optimization
fast_data_type = isa(a,'logical') || isa(a,'int8') || isa(a,'uint8') || ...
    isa(a,'uint16') || isa(a,'int16');

% only use IMHIST for images of sufficient size
big_enough = numel(a) > 300000;

if fast_data_type && isequal(ndims(a),2) && ~issparse(a) && big_enough
   
    % compute histogram
    if islogical(a)
        num_bins = 2;
    else
        data_type = class(a);
        num_bins = double(intmax(data_type)) - double(intmin(data_type)) + 1;
    end
    [bin_counts bin_values] = imhist(a, num_bins);

    % compute standard deviation
    total_pixels = numel(a);
   
    sum_of_pixels = sum(bin_counts .* bin_values);
    mean_pixel = sum_of_pixels / total_pixels;
   
    bin_value_offsets      = bin_values - mean_pixel;
    bin_value_offsets_sqrd = bin_value_offsets .^ 2;
   
    offset_summation = sum( bin_counts .* bin_value_offsets_sqrd);
    s = sqrt(offset_summation / total_pixels);
   
else
   
    % use simple implementation
    if ~isa(a,'double')
        a = double(a);
    end
    s = std(a();
   
end
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niexianling

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引用回帖:
2楼: Originally posted by 月只蓝 at 2013-06-27 10:34:09
默认的是N-1吧,以下是MATLAB 帮助文档的说明:
STD Standard deviation.
    For vectors, Y = STD(X) returns the standard deviation.  For matrices,
    Y is a row vector containing the standard devi ...

我想知道的是std2函数
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3楼2013-06-27 11:00:36
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