Sentence examples for an unknown scaling from inspiring English sources

Detection of a deterministic signal known up to an unknown scaling factor in the presence of colored noise is a fundamental problem in many applications including wireless communications, seismic analysis, hyperspectral imaging, sonar, radar, and others.

In contrast to the realizable case, success should be seen as a relative quantity, as the finite sample size induces an unknown scaling for the maximal rate of practical success.

The light fluence rate measured by the CCD camera is related to the light fluence rate at the "detectors" on ∂ Ω by where α is an unknown scaling vector that represents all calibrations required to obtain the right values of the light fluence rate at the detectors.

Here, σ2 is an unknown scale factor of the covariance matrix.

When the ambiguity on the geometry is metric, (i.e., Euclidean up to an unknown scale factor), the camera projection matrices can be put in the following form: (2).

However, it was found that through estimating and applying an unknown scale factor relating measurements, the overall accuracy could be improved with average errors reducing to 0.51 mm and 0.59 mm for the active and passive datasets respectively.

Aided by the on-board IMU, a homography model is developed in which it is proposed to directly obtain the speed up to an unknown scale factor (the ratio of speed to distance) from the homography matrix without performing Singular Value Decomposition SVDD) afterwards.

Since ϕ is an unknown scale parameter, it seems appropriate to assign an inverse scaled χ distribution to it with parameters υ ϕ, S c ϕ.

We also suppose that u i ~ N 0, σ), where σ is an unknown scale parameter which should be estimated in the model fitting process.

The parameter-space trajectory followed by the iterative scheme shows that the proposed scatter-to-attenuation back-projection can be used to estimate true attenuation values despite an initially unknown scaling factor.

A small-molecule structure refinement typically minimizes the weighted least-squares (LS) function where (respectively, ) denotes either the measured amplitude (respectively, the modulus of the calculated complex structure factor ) or the measured intensity (respectively, the calculated intensity ), whereas K is an overall, unknown scale factor that places on the same scale as.