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In contrast to the gPC method, this approach has spectral error convergence for both short and long integration times.
For this purpose, spectral error patterns have been simulated as well as sun-normalised model radiances for nadir scanning mode, the latter using the radiative transfer model SCIATRAN.
Indeed, the raw data recorded by NIRS3 have considerable spectral distortion and the spectral error may be caused by systematic offsets of the individual pixels.
We search for the optimal Gaussian windows for different order CDs by minimizing the spectral error of the derivative and comparing the windows with the normal Hanning window function for tapering the CD operators.
In the DNS of reactive turbulent flow, the new cubic skew-symmetric form gives the most accurate results, consistent with the spectral error analysis, and at the lowest cost.
The average spectral error is 3.5%.
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The normalized average spectral errors of both methods have also been shown in Table 1.
We consider the spectral interpolation error for both Chebyshev pseudo-spectral and Galerkin approximations.
A quantitative measure for the reduced spectral phase error provided by these symmetry principles is also derived.
Therefore, if the spectral peak error in the spectrum satisfies the condition S i ( Δ ε 1 ) − S i − 1 ( Δ ε 1 ) / S i ( Δ ε 1 ) < 0.1, the Δε1 is varied with the i th searching iteration by using Δε1 as the coarsely estimated CFO of the desired user.
Optimizing pulse performance often requires a compromise between maximizing signal amplitude and minimizing spectral phase errors.
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