Sentence examples for frame expansion from inspiring English sources

end{aligned} (2.32 The following theorem states the wavelet-like (frame) expansion of functions in (X^p).

The problem is approached by using a Gabor frame expansion of the symbol to construct an approximating finite rank operator.

Since proper subsets of frames are sometimes themselves frames, a quantized frame expansion can be a useful representation even when some transform coefficients are lost in transmission.

This preferable performance may be attributed to the redundant representation of the DPT, which is, from a mathematical viewpoint, essentially a frame expansion with promising robustness to added noise. Figure 8 Averaged performance against JPEG compression.

The objectives of the tests were: (1) to examine the connection performance, progress of damage, and strength degradation of the frame, (2) to assess the hysteretic responses of the frame subjected to various loading patterns, and (3) to study the effects of column restraints on the frame expansion.

See Additional file 6: The Matlab program that evaluates the steady state distribution using the time frame expansion technique for the T-cell genetic network with a perturbation rate of 0.01.

This paper considers quantization noise shaping for arbitrary finite frame expansions based on generalizing the view of first-order classical oversampled noise shaping as a compensation of the quantization error through projections.

Quantized frame expansions based on block transforms and oversampled filter banks (OFBs) have been considered recently as joint source-channel codes (JSCCs) for erasure and error-resilient signal transmission over noisy channels.

There are many ways to design MD coding schemes, for example, by use of lattice quantization and index assignment techniques [32, 33], frame expansions followed by quantization [34], oversampling and delta-sigma quantization [35], or layered source coding followed by unequal error protection [36, 37].

Although this method seems to be rather crude, it yields astoundingly accurate numerical results applied to superpositions of infinitely many Gaussians; thus it inherently has a clear relationship with frame expansions.

Other states have also rebranded their programs, framing expansion as a state-driven effort rather than a federal mandate.