Sentence examples for resolution assumption from inspiring English sources

Using the approximation (42), δ ̄ can be expressed as a function of quantization step denoted Δ assumed to be constant over each quantization cell (using the high resolution assumption).

Under high resolution assumptions, the approximated inertial profile of a quantizer with transformed codebook can be upper and lower bounded by the following form: (16).

The proposed system distortion bounds, as well as the corresponding observations made in previous sections, are all derived based on the high-resolution assumption.

As shown in Fig. 7 a, the trajectories of T1 and T2 are mixed after range compression (to clearly state the principle, the range curve are ignored under the low-resolution assumption).

where (10) follows from the definition of (qleft (theta |mathbf {z}_{1}^{M}right)), (11) is derived from the high-resolution assumption, and (12) is obtained from the definition of the conditional entropy (Hleft (theta |hat {mathbf {z}}_{1}^{M}right)).

The quantizers were designed under high-resolution assumptions, and no stability assessment was provided.

Under high-resolution assumptions (large ), the distortion of a finite-rate feedback system has been shown to have the following form: (2).

Although the X-ray structures and the NOE data are obtained in different environments and may reflect structural diversity and have different resolutions, the assumption here is that the correctly positioned H-atoms should, on average, have the maximum convergence with NOE proton distance map, because they are from the same proteins.