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. 2019 Oct 17;10(11):5755–5775. doi: 10.1364/BOE.10.005755

Table 1. Overview of variables and abbreviations.

Symbol Explanation Equation
A(x,t) Amplitude of phasor representing the OCT signal (1)
A¯ Mean signal amplitude (7)
Anoise Amplitude of complex phasor representing the OCT noise signal (3)
Anoise¯ Mean noise amplitude (4)
Δϕ Phase difference (39,42)
I Signal intensity, I=A2
I¯ Mean signal intensity (13)
Ix¯ Ix¯ with noise bias correction, (x = void,MAG,CPX) (3133)
Inoise Noise intensity, Inoise=Anoise2
Inoise¯ Mean noise intensity (11)
inoise Imaginary part of complex phasor representing the OCT noise signal (2)
N Number of averaged signals
pA(Anoise) PDF describing amplitudes of random phasors (Rayleigh distribution) (3)
pΔϕ(Δϕ,A) PDF describing distribution of phase differences (43)
pI(Inoise) PDF describing intensities of random phasors (9)
pI(I,Inoise) PDF describing intensities of signals in presence of noise (10)
pA(A,Anoise) PDF describing amplitudes of signal phasors in presence of noise (Rice distribution) (6)
pri(rnoise,inoise) Binormal PDF describing random phasors (2)
P(N) Penalty factor after averaging N signals (37)
PDF Probability density function (2,3,6,9,10)
ϕ(x,t) Phase of phasor representing the OCT signal (1)
rnoise Real part of complex phasor representing the OCT noise signal (2)
SOCT(x,t) Complex-valued OCT signal (1)
SOCT(moco) OCT signal after motion correction (moco) (40,41,45)
σ2 Variance of real/imaginary part of pri (1)
σA2 Variance of signal amplitudes for pA(A,Anoise) (8)
σI2 Variance of signal intensity for pI(I,Inoise) (14)
σInoise2 Variance of noise intensity for pI(Inoise) (12)
σnoise2 Variance of noise amplitudes for pA(Anoise) (5)
SNR1 SNR of non-averaged signal (24)
SNR1,borderline SNR1 of non-averaged signal for SNRMAG=SNRCPX (27)
SNRMAG SNR after magnitude averaging (25)
SNRCPX SNR after complex phasor averaging (26)
SNRx SNRx with noise bias correction, (x=1,MAG,CPX) (3436)
MAG Quantity ⋅ after magnitude averaging (1619)
CPX Quantity ⋅ after complex averaging (2023)