Sines+Noise Synthesis (S+N) generalizes the sinusoidal signal models to include a filtered noise component:
where
![\begin{psfrags}\psfrag{A1} []{ \large$ A_1(t)$\ }\psfrag{A2} []{ \large$ A_2(t)$\ }\psfrag{A3} []{ \large$ A_3(t)$\ }\psfrag{A4} []{ \large$ A_4(t)$\ }\psfrag{f1} []{ \large$ f_1(t)$\ }\psfrag{f2} []{ \large$ f_2(t)$\ }\psfrag{f3} []{ \large$ f_3(t)$\ }\psfrag{f4} []{ \large$ f_4(t)$\ }\psfrag{s} [b]{ {\Huge$\sum$} }\psfrag{noise} [][b]{{\large$\stackrel{\hbox{[new] noise}}{u(t)}$}}\psfrag{Filter} [][c]{{\large$\stackrel{\hbox{filter}}{h_t(\tau)}$}}\psfrag{out} []{
$ y(t)= \sum\limits_{i=1}^{4} A_i(t)\cos\left[\int_0^t\omega_i(t)dt+\phi_i(0)\right]
+ (h_t \ast u)(t) $\ }\begin{center}
\epsfig{file=eps/sinesplusnoise.eps,width=5in,height=4in} \\
\end{center} % was epsfbox
\end{psfrags}](img55.png)
white noise
slowly changing noise filter
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