Sentence examples for theoretical variance from inspiring English sources

This MSEs of the M2M4 algorithm approaches its theoretical variance for SNR > −5 dB and SNR < 15 dB [22].

Under reasonable conditions the theoretical variance of the structural system parameter estimates decreases with the duration of the long non-stationary record.

Moreover, Sanchez-Araujo and Marcos proposed in [23] to utilize the asymptotic (for N>1) theoretical variance expression of the considered DOA estimation method to calculate the variance of the measurement noise.

The approximated model variances (tilde{sigma }_{(1)}^2) and (tilde{sigma }_{(2)}^2) for the observables (varvec{Gamma }^{(1)}) and (varvec{Gamma }^{(2)}) bear a good resemblance and are very similar to the calculated theoretical variance (tilde{sigma }_{(0)}^2) which corresponds to the observable (varvec{Gamma }^{(0)}).

The goal of this article is to determine theoretical variance lower bounds on how well a single-sensor system is able to localize a target in the presence of exploitable multipath and discuss several practical issues that arise in this context, including the multipath association problem, clutter, and the impact of wall roughness.

In Figure 3a, b, we show for the same scenario considered in Figure 2a, b the theoretical variance σ φ ̃ k 2 and mean square error (MSE) ∈ φ ̃ k 2 = σ φ ̃ k 2 + ( μ φ ̃ k - φ k ) 2 (both computed from (14) and (15)), the CRLB c φ k, and the simulated (simulation repeated 10,000 times) variance and MSE of φ ̃ k, all versus the frequency.

It was shown that the b-exponent had a large influence on theoretical variances.

It is found that the theoretical variances of the estimates are unbiased and approach the CRLB at high signal-to-noise ratio (SNR).

A quantitative comparison between (tilde{sigma }_{(0)}^2), (tilde{sigma }_{(1)}^2) and (tilde{sigma }_{(2)}^2) with the analytically calculated theoretical variances (sigma _{(0)}^2), (sigma _{(1)}^2) and (sigma _{(2)}^2) shown in Fig. 2 cannot be made since the scales are so different.

LSD GR 2 95) refers to the theoretical least significant difference calculated using equation 3 with theoretical variances and infinite degrees of freedom.

A theoretical error variance formula and stability analysis of the loop are also presented.