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This system also has very wide dynamic range which can be greater than 76 dB with the minimum detectable phase signal about 3.3×10−4 rad/√Hz).
An average SNRdB at the signal peak was measured to be about 70 dB in this experiment, yielding a theoretical minimum detectable phase shift of about 0.3 mrad.
The minimum detectable phase shift, measured from the standard deviation of the phase difference from a stationary coverslip (no scanning) [ 13], was 0.03 radians (1.6°).
Following the analysis in [ 22], the theoretical minimum detectable phase difference between two signals was determined as σΔ ϕ (rad) = 1/ SNR -1/2.
This phase error determines the minimum detectable phase change and hence limits the velocity sensitivity of each particular PR-DOCT system.
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Therefore, without phase unwrapping, the maximum detectable phase shift is π, and the maximum detectable axial velocity is given by The theoretical limit for the minimum detectable velocity, on the other hand, is determined by the phase stability of a PR-DOCT system.
The minimum detectable velocity was determined by the phase noise and was 170 μm/s.
Assuming that DPP is the diameter of the central spot of the phase plate the minimum detectable acoustic frequency ν min can be derived from the relations outlined above to ν min = c H 2 O ⋅ sin [ tan − 1 (D P P / 2 f 1 ) ] λ D e t ⋅ n H 2 O . (13 Finally, considering that D P P / 2 f 1 ≪ 1 it is given in a good approximation by.
The noise on the phase-difference, the phase-noise σΔ ϕ, defines the smallest observable phase-difference and therefore the minimum detectable flow velocity is given by: v min = (σΔ ϕ∙λ0)/(4 πnτ∙cos [ 9, 23].
High sensitivity is however desirable since phase noise and the minimum detectable velocity scale with signal-to-noise ratio (SNR) assuming proper lateral sampling [ 28].
In theory, the minimum detectable axial velocity is determined by the phase stability of the light source, and was measured to be 1.8 mrad.
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