Sentence examples for spectrum of a time from inspiring English sources

The scanned response is the spatial analogue of the power spectrum of a time series in time domain processing.

The S-transform was originally defined as a method of determining the local spectrum of a time series, through the use of a translating, real Gaussian window that dilates to accomodate the different cycle durations of different frequencies.

This technique is based on rejecting the null hypothesis of a purely random process through considering the power spectrum of a time dependent signal.

Mathematically, the multitapered power spectrum of a time series is defined for a given frequency as an average over all repetitions and tapers: where is the discrete Fourier transform of the product of the measured time series sequence { x n(t), n = 1, 2, …, N} with the k-th Slepian taper, denoted w k(t).

Figure 3 shows a comparison among the time evolutions of the different emission peaks observed in the cw-PL spectrum on a time scale of 45 ps.

One result [8] relates the 2nd moment of the energy spectrum of a time-varying sinusoid to its amplitude and phase variations by (2).

We computed periodicities from the spectrum (periodogram) of a time series as a function of linear axis, such as, length along a strand of hair.

Here, the PSD is treated as the limit of a statistical average of the modulus square of the Fourier spectrum of a truncated time series with a truncated length as goes to infinity.

The power spectrum of a single time series is essentially Ai*Ai, where Ai denotes elements of a series of complex Fourier coefficients as a function of frequency.

Furthermore, unambiguously interpreting the spectrum of an individual time series is simply not possible because power from noise sources is aliased.

Verizon, meanwhile, will gain a substantial amount of new spectrum at a time when it and its smaller competitors, like AT&T, are striving to keep up with growing demand.