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55 lines
2.5 KiB
55 lines
2.5 KiB
function [fluctRate,flucTag]=getFluctuationTagPadeMod(coeffA,coeffB,maxTime,rateThreshold)
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%
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% FUNCTION getFluctuationTagPadeMod
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%
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% Author: Rui Yao <ruiyao@ieee.org>
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%
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% Copyright (C) 2021, UChicago Argonne, LLC. All rights reserved.
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%
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% OPEN SOURCE LICENSE
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%
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% Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
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%
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% 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
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% 2. 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.
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% 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
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%
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%
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% ******************************************************************************************************
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% DISCLAIMER
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%
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% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
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% WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
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% PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY
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% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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% CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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% OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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% ***************************************************************************************************
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%
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if nargin<4
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rateThreshold=0.0005;
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end
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sz=max([size(coeffA,2);size(coeffB,2)]);
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coeffAe=zeros(size(coeffA,1),sz);
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coeffBe=zeros(size(coeffB,1),sz);
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coeffAe(:,1:size(coeffA,2))=coeffA;
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coeffBe(:,1:size(coeffB,2))=coeffB;
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constAB=coeffAe(:,1)./coeffBe(:,1);
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coeffCe=coeffAe-coeffBe.*repmat(constAB,1,sz);
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[ubb,lbb]=findPolynomialBounds(coeffBe,maxTime);
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[ubc,lbc]=findPolynomialBounds(coeffCe(:,2:end),maxTime);
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denSgn=ubb.*lbb;
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flucNumerator=max(abs([ubc,lbc]),[],2);
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den=min(abs([ubb,lbb]),[],2);
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fluctRate=flucNumerator./den;
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flucTag=all((denSgn>0)&(fluctRate<rateThreshold));
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end |