Translations:Analog prediction error/43/en

${\begin{aligned}{\tilde {g}}\left(t{\rm {|1}}\right)={\tilde {f}}\left(t{\rm {|l}}\right)*p\left(t\right){\rm {=\ }}\int \limits _{-1}^{t}{{2}^{\rm {1/2}}}{\rm {\ }}e^{-\left(\tau {\rm {+l}}\right)}\left[\delta \left(t-\tau \right)-2e^{-\left(t\tau \right)}\right]d\tau \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\\={2}^{\rm {1/2}}e^{-\left(t+1\right)}\left(1-2\right)=-{2}^{\rm {l/2}}e^{-\left(t{\rm {+l}}\right)}\mathrm {\;} \;{\rm {for}}\;-\varepsilon \leq t<0,\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\end{aligned}}$

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