Автоматизация анализа линейных систем, страница 3

Фаза спектральной плотности:

Fph =

i*atanh((1635156250000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2)*erf(1/2*i*p),p,t),t,w)+817578125000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2),p,t),t,w)-817578125000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2)*erf(1/2*i*(p-2*i)),p,t),t,w)+817578125000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2),p,t),t,w)-817578125000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2)*erf(1/2*i*(p+2*i)),p,t),t,w)-1/2*conj(3270312500000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2),p,t),t,w)-3270312500000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2)*erf(1/2*i*p),p,t),t,w)+1635156250000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2)*erf(1/2*i*(p-2*i)),p,t),t,w)+1635156250000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2)*erf(1/2*i*(p+2*i)),p,t),t,w)))/(1635156250000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2)*erf(1/2*i*p),p,t),t,w)+817968750000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2),p,t),t,w)-817968750000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2)*erf(1/2*i*(p-2*i)),p,t),t,w)+817968750000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2),p,t),t,w)-817968750000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2)*erf(1/2*i*(p+2*i)),p,t),t,w)+1/2*conj(3270312500000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2),p,t),t,w)-3270312500000000*fourier(ilaplace(p^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*p^2)*erf(1/2*i*p),p,t),t,w)+1635156250000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p/(p-2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p-2*i)^2)*erf(1/2*i*(p-2*i)),p,t),t,w)+1635156250000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2),p,t),t,w)-1635156250000000*fourier(ilaplace(p/(p+2*i)^(1/2)/(7378697629483821*p^2+73786976294838206464*p+184467440737095516160000)*exp(1/4*(p+2*i)^2)*erf(1/2*i*(p+2*i)),p,t),t,w))))

Вывод: в ходе данной работы я ознакомился с автоматизацией операторного и спектрального анализа линейных систем в СКМ MATLAB.