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Based on the new definitions, new results are obtained for the equivalent input disturbance and disturbance estimation.
They are much more effective in the ignition enhancement than mere heating the mixture by equivalent input energy.
Pre- and post-radiation results for the equivalent input noise of the ASIC preamplifier are shown in Fig. 9.
The equivalent input noise voltage of the ASIC preamplifier is acceptable even though it is 6.7((100/15)) times worse.
The equivalent input noise charge measured at room temperature for a detector capacitance of 2.5 pF and signal integration time of 0.7 μs is 167 e− rms.
The readout channel features a maximum gain of 85 dB with a 4.3 kHz bandwidth and an equivalent input noise of 22 nV/Hz1/22
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Thus, we have the equivalent input-output model as mathbf{z}=mathbf{HEd}+mathbf{n}, (C.2).
In the proposed approach, the linear part of the network is modeled in the frequency-domain (FD) via an equivalent input-admittance and all nonlinear components but PV-buses are resolved in the time-domain (TD).
Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.
Thus, we have the equivalent input-output model as mathbf{z}=mathbf{HEd}+mathbf{n}, (C.2) where mathbf{E}=text{diag} left underbrace{sqrt{E_{1}},ldots,sqrt{E_{1}}}_{NM ~ text{elements}},ldots,underbrace{sqrt{E_{K}},ldots,sqrt{E_{K}}}_{NM ~ text{elements}} right).
This completes the proof for Lemma 1. ■. Proposition 1 is proved in three steps: Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.
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