Reconstructed spectra

Figure 10.7 Reconstructed spectra of the two E. coli strains are reflected across the x-axis.

The principle of the determination of time-resolved fluorescence spectra is described in Section 6.2.8. For solvent relaxation in the nanosecond time range, the single-photon timing technique can be used. The first investigation using this technique was reported by Ware and coworkers (1971). Figure 7.3 shows the reconstructed spectra of 4-aminophthalimide (4-AP) at various times after excitation. 

Figure 3.21 Reconstructed spectra using three (top) or two (bottom) eigenvalues...

FIGURE 1.31 Plot of fractional area under the emission curve (CH2C12 solutions) for X > 500 nm (Area >50o/Areatota ) as a function of extent of conjugation x . Open circles correspond to the recorded spectra, while open squares are for the reconstructed spectra. Inset Variation of the difference of the fractional areas between the recorded and reconstructed spectra as a function of jc . (Source Ref. [38].)... 

Fig. 5 Original NIR spectrum (a) and the. spectra reconstructed with 10 (h), 30 (c) and 62 (d) top wavelet coefficients with the corresponding residuals, i.e. differences between the original and reconstructed spectra.

WT has been proposed as a new method for compressing spectra for storage and library searching in our study. In this kind of work, spectra are reconstructed from time to time from the compressed data. In order to maintain the quality of the reconstructed spectra, we have introduced another technique called the translation-rotation transformation (TRT) method [23] in the wavelet computation. In the FWT operation, the spectral data vector Cj needs to be extended periodically at the two extremes in the following manner ... 

The survival probability computed in this way is displayed in figure 4.12 for the three reconstructed spectra in figure 4.11. The survival plot shows rapid fall-off by t = 10,000 au ( 0.25 psec), and small recurrences near t = 17,000 au, 32,000 au, and... 

Fig. 4 Reconstructed spectra using the additive back-projection algorithm, showing the effect of increasing the number of projections, (a) n = 6, (b) n = 12, (c) n = 18. Six responses are detected as the signal-to-noise ratio increases and the artefacts become less obtrusive. Residual ridges are apparent in (a) but not in (c)...

Perform an inverse cosine transform, which gives us a mel-scaled spectrum. This differs from the analysis mel-scale cepstrum because of the liftering, but in fact the differences in the envelopes of the original and reconstructed spectra have been shown to be minor, particularly with respect to the important formant locations. 

Fig. 11 a Observed spectra, b resolved spectra, c reconstructed spectra and d residues (A part... 

The profile of the aged interface shows that the film has changed the copper sulphide is no longer the dominant sulphide, but more ZnS has been formed. This is not only concluded from the profiles, but from the reconstructed spectra as well. 

Figure 3.10 TEM picture of carbon onions and reconstructed spectra of two selected areas centre of a diamond core with carbon onions and its periphery (ESI method)...

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