TABLE II.

Notations.

Symbol	Description	Defined in equations
$⌊x⌋$	Floor function	(4)
$⌈x⌉$	Ceiling function	(105)
$x\left[T\right]$	Modulo operation	(18)
$H\left(t\right)$	Heaviside function	(8)
$f_T\underset{T}{*}{g}_T\left(t\right)$	Cyclic convolution product of two T-periodic functions	(9)
$I_T\left(t\right)$	T-periodic instrument response function (IRF)	(15)
${\mathrm{\Lambda }}_{\tau }\left(t\right)$	Normalized exponential function	(16)
${\mathrm{\Lambda }}_{\tau ,T}\left(t\right)$	Normalized T-periodic exponential function (PSED)	(17)
${\mathrm{\Lambda }}_{\tau ,T|t_0}\left(t\right)$	Normalized PSED with offset (Dirac excitation)	(120)
${\mathrm{\Psi }}_{\tau ,{\tau }_{\times },T}\left(t\right)$	Convolution of 2 T-PSEDs	(20) and (27)
${\overline{\mathrm{\Gamma }}}_{W,nT}\left(t\right)$	Mirrored nT-periodic gate function of width W	(35)
${\overline{\mathrm{\Pi }}}_{W,nT}\left(t\right)$	Mirrored nT-periodic square-gate function of width W	(37)
$I_{T,W}\left(t\right)$	Square-gated (width W) T-periodic IRF	(43)
${\mathrm{\Lambda }}_{\tau ,T,W}\left(t\right)$	Square-gated (W) T-PSED (Dirac excitation)	(47)
${\mathrm{\Lambda }}_{\tau ,T,W|t_0}\left(t\right)$	Square-gated (W) T-PSED with offset (Dirac excitation)	(121)
${\mathrm{\Psi }}_{\tau ,{\tau }_{\times },T,W}\left(t\right)$	Square-gated (W) T-PSED (single-exponential excitation)	(48)
$z\left[S_T\right]$	Cyclic phasor of T-periodic function ST	(66) and (67)
${\zeta }_f\left(\tau \right)$	Continuous phasor of ungated PSED (Dirac excitation)	(70)
$z_{\left[W\right]}\left[{\mathrm{\Lambda }}_{\tau ,T}\right]$	Continuous phasor of square-gated PSED (Dirac excitation)	(75)
$z_N\left[S_T\right]$	Discrete cyclic phasor of T-periodic function ST	(88), (91), and (92)
$z_{N\left[W\right]}\left[{\mathrm{\Lambda }}_{\tau ,T}\right]$	Discrete phasor of square-gated PSED (Dirac excitation)	(103)
$‖S\left(t\right)‖,‖S‖$	Integral over ]−∞,∞[ of function S	(53)
${‖S_T\left(t\right)‖}_T,{‖S_T‖}_T$	Integral over [0,T] of T-periodic function ST	(60)
${‖S_T\left(t_p\right)‖}_N,{‖S_T‖}_N$	Discrete version of ${‖S_T\left(t\right)‖}_D$ over [0,D], D: record duration	(88) and (92)