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cyclostationary_toolbox/cyclic_3rd_order_cumulant.m010064400316540031654000000030340643656516400233250ustar00acmcacmc00003040001726function C3=cyclic_3rd_order_cumulant（x1x2x3alphamax_tau）
%
% CYCLIC_3RD_ORDER_CUMULANT
%              
%              calculates the cyclic third order cumulant of 
%              three signals x1x2x3 at frequency alpha
%             
%              C3（k*alphatau1tau2）=E{（x1（t）-E{x1（t）}） *
%                                      （x2（t+tau1）-E{x2（t+tau1）} *
%             			       （x3（t+tau2）-E{x3（t+tau2）} *
%                                      exp（-jk（alpha）t）  }
%              for k=0 ... 1/alpha
%             
%
% USAGE
%              C3=cyclic_3rd_order_cumulant（xyalphamax_tau）
%

% File: cyclic_3rd_order_cumulant.m
% Last Revised: 25/11/97
% Created: 25/11/97
% Author: Andrew C. McCormick
% （C） University of Strathclyde

% Simple error checks
if nargin~=5
  error（‘Incorrect number of arguments for function cyclic_3rd_order_cumulant‘）;
end
if alpha>2*pi
  error（‘Cyclic frequency must be less than 2 pi in function cyclic_3rd_order_cumulant‘）;
end


% Remove cyclic mean from signals
cmx1=cyclic_mean（x1alpha）;
cmx2=cyclic_mean（x2alpha）;
cmx3=cyclic_mean（x3alpha）;
lx=length（x1）;
t=0:lx-1;
T=ceil（2*pi/alpha）-1;
for k=1:lx
  x1（k）=x1（k）-1/（2*pi）*sum（cmx1.*exp（j*alpha*（0:T）*（k-1）））;
  x2（k）=x2（k）-1/（2*pi）*sum（cmx2.*exp（j*alpha*（0:T）*（k-1）））;
  x3（k）=x3（k）-1/（2*pi）*sum（cmx3.*exp（j*alpha*（0:T）*（k-1）））;
end

C3=zeros（max_taumax_tauT+1）;

ix=1:lx-max_tau-1;

for tau1=0:max_tau
  for tau2=0:max_tau
    for k=0:T
      C3（tau1+1tau2+1k+1）=mean（x1（ix）.*x2（tau1+ix） ...
	  .*x3（tau2+ix）.*exp（j*k*alpha*t（ix）））;
    end
  end
end



cyclostationary_toolbox/cyclic_3rd_order_cumulant_fast.m010064400316540031654000000060740643655537000243470ustar00acmcacmc00003040001726

 属性            大小     日期    时间   名称
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     文件      58880  2016-10-08 13:52  cyclicstationary_toolbox\cyclicstationary_toolbox\Contents.m

     文件       1564  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_3rd_order_cumulant.m

     文件       3132  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_3rd_order_cumulant_fast.m

     文件       2242  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_4th_order_cumulant.m

     文件       4073  2016-10-08 13:51  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_4th_order_cumulant_fast.m

     文件        638  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_autocorrelation.m

     文件       1113  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_autocorrelation_fast.m

     文件        686  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_autocovariance.m

     文件       1215  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_autocovariance_fast.m

     文件       1047  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_correlation_coefficient.m

     文件       1381  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cross_correlation.m

     文件       2767  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cross_correlation_fast.m

     文件       1668  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cross_covariance.m

     文件       3090  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cross_covariance_fast.m

     文件       1435  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cross_periodogram.m

     文件       1597  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_cumulants_fast.m

     文件        683  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\cyclic_mean.m

     文件        671  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\degree_of_cyclostationarity.m

     文件       1895  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\fft_accumulation_method.m

     文件       2094  2016-10-08 13:50  cyclicstationary_toolbox\cyclicstationary_toolbox\frac_delay_cyclic_ac.m

     文件        972  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\get_impulses.m

     文件        921  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\scd.m

     文件       1368  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\strip_spectral_correlation.m

     文件       1397  2016-10-08 13:49  cyclicstationary_toolbox\cyclicstationary_toolbox\synchronous_average.m

     文件        624  2016-10-08 13:48  cyclicstationary_toolbox\cyclicstationary_toolbox\wvd.m

     文件        117  2016-10-08 13:47  cyclicstationary_toolbox\cyclicstationary_toolbox\Z.m

     目录          0  2018-03-11 15:55  cyclicstationary_toolbox\cyclicstationary_toolbox

     目录          0  2018-03-11 15:55  cyclicstationary_toolbox

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