Exact(7)
The waveform being processed is the legacy square root Nyquist-shaped quamplitudeamodulationodulation (QAM).
Note also that both μ s and Σ s depend on the characteristics of the random waveform being emitted by the PU and its position with respect to the K sensors.
With the waveform being more stationary, the IF estimation procedure can be performed again to obtain finer IF and phase estimates (denoted as f D,fine and ψ fine, respectively).
The conditional probability density of the received waveform being noise only is given by (17) and the conditional probability density of the received waveform being signal plus noise as p(x|H_{1}) = left{ begin{array}{ll} beta max left(frac{1-c}{sqrt{2 pi} sigma}e^{-frac{(x-s)^{2}}}2 sigma^{2}}}, frac{c}{b-a} right), & a
For the in-plane displacement measurement, the laser beam is aligned parallel to the surface to intersect a small optically reflective step with the time waveform being gated to measure only the direct shear arrival produced using a normal incidence shear wave source transducer.
The conditional probability density of the received waveform being noise only can be written as p(x|H_{0}) = left{ begin{array}{ll} beta_{0} max left(frac{1-c}{sqrt{2 pi} sigma_{n}}e^{-frac{x^{2}}{sigma_{n_{n}^{2}}}}, frac{c}{b-a} right) & a
Similar(53)
The waveform is then amplified and transmitted.
A semi-sinusoidal inspiratory waveform was selected.
A 1.2/50 μs lightning impulse waveform was used during testing.
The waveform is band-pass-filtered at 0.05 1.0 Hz.
The original waveform is plotted for comparison (black).
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