Figure 5

Integration of differences in signal duration. Differences in signal duration parameterized by τ_deg a.) time domain. b.) frequency domain; ${\tau }_{\mathrm{deg}}^{-1}$ = 0.1 (dash-dotted), 0.5 (dashed), 1.0 (solid), 2.0 (dotted) lines. Plots of S(ω) ≡ |F(ω)|² are shown. Corresponding plots of f(t) are shown in the inset. Short ${\tau }_{\mathrm{deg}}^{-1}$ = 2.0 and long ${\tau }_{\mathrm{deg}}^{-1}$ = 0.5 duration signals are filtered through b.) g₃(ω) and c.) $g_1^f(\omega )$ resulting in b.) P₃(ω) and c.) $P_1^f(\omega )$ for ${\tau }_{\mathrm{deg}}^{-1}$ = 0.5 (dashed lines) and ${\tau }_{\mathrm{deg}}^{-1}$ = 2.0 (dotted lines). Parameters taken to be: b.) c) $k_1^{+}$ = 2.0, $k_2^{+}$ = 1.0, $k_1^{-}$ = 1.0, $k_2^{-}$ = 0.01, k^f= -5.0.