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@ -835,8 +835,10 @@ The noise sources $\tilde{n}_i$ are considered to be white noise: $\Phi_{\tilde{
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\begin{align*}
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\hat{x} &= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 + \Big(H_1(s) \big(1 + w_1(s) \Delta_1(s)\big) + H_2(s) \big(1 + w_2(s) \Delta_2(s)\big)\Big) x \\
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&= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 + \big(1 + H_1(s) w_1(s) \Delta_1(s) + H_2(s) w_2(s) \Delta_2(s)\big) x
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\hat{x} &= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 \\
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&\quad \quad + \Big(H_1(s) \big(1 + w_1(s) \Delta_1(s)\big) + H_2(s) \big(1 + w_2(s) \Delta_2(s)\big)\Big) x \\
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&= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 \\
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&\quad \quad + \big(1 + H_1(s) w_1(s) \Delta_1(s) + H_2(s) w_2(s) \Delta_2(s)\big) x
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\end{align*}
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To the dynamics of the super sensor is:
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@ -168,4 +168,17 @@
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year = 2008,
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doi = {10.1109/tac.2008.923738},
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url = {https://doi.org/10.1109/tac.2008.923738},
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}
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@article{barzilai98_techn_measur_noise_sensor_presen,
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author = {Aaron Barzilai and Tom VanZandt and Tom Kenny},
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title = {Technique for Measurement of the Noise of a Sensor in the
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Presence of Large Background Signals},
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journal = {Review of Scientific Instruments},
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volume = 69,
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number = 7,
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pages = {2767-2772},
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year = 1998,
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doi = {10.1063/1.1149013},
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url = {https://doi.org/10.1063/1.1149013},
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}
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