% =========================================================================
%   Praktikum MATLAB/Simulink I
%   Technische Universität Darmstadt
%   IAT, FG rtm (Prof. Dr.-Ing. U. Konigorski)
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%                       Technische Universität Darmstadt
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% =========================================================================

% Versuch 3
% Versuchsdurchfürhung 3.1.2 Partialbruchzerlegung

% Defintion Polynome

p1 = [1, 0, omega^2];
p2 = [1, d/m, k/m];

pz = [F/m, 0]; %Zählerpolynom
pn = conv(p1, p2); %Nennerpolynom

[r, p ,K] = residue(pz, pn);

% Übertragungsfunktion 1
pz1 = conv(r(1), [1, -p(2)]) + conv(r(2), [1, -p(1)]); % Zählerpolynom ÜF1
pn1 = conv([1, -p(2)], [1, -p(2)]); % Nennerpolynom ÜF1

% Übertragungsfunktion 2
pz2 = conv(r(3), [1, -p(4)]) + conv(r(4), [1, -p(3)]); % Zählerpolynom ÜF2
pn2 = conv([1, -p(3)], [1, -p(4)]); % Nennerpolynom ÜF2

% Ergebnis speichern
% (ggf. aufgrund der endlichen Rechengenauigkeit vorhandene Imaginärteile
% durch real() entfernen.)
P1 = real( pz1(2) )
P2 = real( pz2(2) )