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For the clean signal (SNR =∞), the order of the TVAR model, M, is equal to 4. Since higher error is imposed on pole estimation for stronger noise, M should increase to alleviate this problem.
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In the MED-PARTICLES project, exposure error was imposed by the limited number of monitors per city and variability due to differences in PM2.5 measurement methods among the cities.
When increasing measurement errors are imposed, the estimated parameters become less accurate, but the inverse solution is still stable, i.e., parameter, IC, and BC estimation remains bounded.
Although standard next-generation sequencing technologies have the capacity to generate hundreds of billions of nucleotides of DNA sequence in a single experiment, the practical limit of detection is imposed by errors introduced during sample preparation and sequencing.
When the boundary condition is imposed through reconstruction, the error is maximum.
A constraint of tolerance (tol) is imposed on this minimized error which defines the maximum allowable deviation in prediction.
When the boundary condition is imposed through numerical fluxes, the error is minimum.
A constraint is imposed on the decimated filter output to force a posteriori error to become zero.
A specific form of persistency of excitation is imposed to guarantee the convergence of the (state and parameter) estimation errors.
Thus, a highly stringent criterion (≥0.9) is imposed to exclude heterozygous loci or false positive SNPs due to alignment errors.
State of emergency is imposed.
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