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70 lines
2.7 KiB
70 lines
2.7 KiB
function [xa,xb]=getPadeApproxVector(xc,m,tag)
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% Calculate Pade coefficients by a vector of variables, called by getPadeApproxHelm()
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%
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% FUNCTION getPadeApproxVector
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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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% INPUT
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% xc - HE coefficients in power series
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% m - order on the numerator
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% tag
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% 0 - proceed for computation
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% 1 - this variable is ignored, do not compute
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%
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% OUTPUT
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% xa - Pade coeffcients on the numerator
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% xb - Pade coeffcients on the denominator
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%
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N=size(xc,2);
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n=N-m;
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nD=size(xc,1);
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xa=zeros(nD,m);
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xb=zeros(nD,n);
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txc=xc(tag==0,:);
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if size(txc,1)>0
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augTxc=[zeros(size(txc,1),n),txc];
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nT=2*n-1;
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ttxc=augTxc(:,(end-nT):(end-1));
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ytxc=-augTxc(:,(end-n+1):end);
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tb=solveToepLevinson(ttxc,ytxc);
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ta=augTxc(:,(n+1):(n+m));
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for k=1:n
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ta=ta+augTxc(:,(n+1-k):(n+m-k)).*repmat(tb(:,k),1,m);
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end
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xa(tag==0,:)=ta;
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xb(tag==0,:)=tb;
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end
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end |