--- a +++ b/featurebased-approach/subfunctions/lib/Recurrence quantification analysis (RQA)/RPplot.m @@ -0,0 +1,101 @@ +function [RP,DD] = RPplot(P,m,t,r,index) + +% Recurrence plot (RP) with fixed threshold value + +% Input: P: time series; +% m: the embedding dimension +% t: the delay time +% r: the threshold value +% index: the value 0 or 1 (0 for Euclidean distance,1 for maximum distance) +% Output: +% RP: Recurrence plot Matrix +% DD: Distance Matrix + +% referrence: +% X Li, G Ouyang, X Yao, X Guan, Dynamical characteristics of pre-epileptic seizures in rats with recurrence quantification analysis +% Physics Letters A 333 (1), 164-171 + +%% If you need these codes that implement critical functions with (fast) C code, please visit my website: +%% http://www.escience.cn/people/gxouyang/Tools.html + +% revise time: May 5 2014, Ouyang,Gaoxiang +% Email: ouyang@bnu.edu.cn +% +% Example: +% P = randn(1,100); +% [RP,DD] = RPplot(P,3,1,.5,0); +% subplot(121);imagesc(RP) +% P = sin(0.1:0.1:10); +% [RP,DD] = RPplot(P,3,1,.5,0); +% subplot(122);imagesc(RP) +% +% Copyright (c) 2014, Gaoxiang Ouyang +%All rights reserved. +% +%Redistribution and use in source and binary forms, with or without +%modification, are permitted provided that the following conditions are +%met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +%THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +%AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +%IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +%ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +%LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +%CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +%SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +%INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +%CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +%ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +%POSSIBILITY OF SUCH DAMAGE. + +r = r*std(P); + +if nargin < 4, error('Not enough input arguments'),end +N=length(P); + +X=zeros(N-(m-1)*t,m); +for k=1:(N-(m-1)*t) + PP=[]; + for i=1:m + PP=[PP P(1,k-t+i*t)]; + end + X(k,:)=PP; +end +N1=length(X); + +DD=zeros(N1,N1); +if index == 0; + r = r*r; + for k1=1:N1 + for k2=k1+1:N1 + DD(k1,k2) = sum( (X(k1,:) - X(k2,:)).^2 ); + end + end + DD=DD+DD'; +end + +if index == 1 + for k1=1:N1 + for k2=k1+1:N1 + DD(k1,k2) = max(abs(X(k1,:)-X(k2,:))); + end + end + DD=DD+DD'; +end + +RP=zeros(N1,N1); +for i=1:N1 + for j=i+1:N1 + if DD(i,j) <= r + RP(i,j)=1; + RP(j,i)=1; + end + end +end +RP = RP +eye(N1); \ No newline at end of file