Sentence examples for transform pairs from inspiring English sources

This paper describes a new scheme for the design of Hilbert transform pairs of biorthogonal wavelets in detail.

Two biorthogonal filter banks are designed, whose corresponding wavelet bases,,, and form Hilbert transform pairs, that is, they satisfy (6).

In [1, 2], Kingsbury had chosen the odd/even-length filter pairs in designing the Hilbert transform pairs wavelet bases.

A pair of filter banks is used in DTCWT, with which the wavelet bases associated form (approximate) Hilbert transform pairs.

The chapter describes the examples of the application of this principle and the most important and relatively simple Fourier transform pairs.

then and form Fourier transform pairs for all time and hence the spatial moments can be obtained by way of (14).

(3.4) The transform pair (3.4) follows immediately from (3.2).

In addition, ψ r (t) and ψ i (t) form a Hilbert transform pair.

Therefore, a better approximation quality to Hilbert transform pair is possible.

The nonuniform discrete Fourier transform pair is defined as follows [10]: (1).

According to Wiener-Khintchine theory, the PSD and the autocorrelation function form a Fourier transform pair.