The problems of spectral analysis of waves in a coastal sea side are considered in this paper. It's known that integral spectral transforms, such as for example Fourier-Stieltjes transform is, do not use the real form of equations solutions. As a result it's difficult to use such forms for description of wave’s process transformation with clear physical interpretations. According to results of the theoretical researches being done by authors of this paper it's shown that the spectrum of stochastic process may be represented as a finite series of spectral parts, being spectrum of oscillator's stochastic movements. As the result of external stochastic influence on oscillator movements a stationary resulting oscillations may be presented as (see [4.5]):
where j is number of waves systems( or oscillation’s systems), and are constant, is a stochastic times function.
The autocorrelation function of such stochastic process (1) is:
where is conditioned by dissipative processes in liquid.
The increase of influence of bottom friction layer on wave’s process, being as result of reducing of liquid depth, leads to increase of spectrum width.
To find the spectral parts series it's created new method of spectral analyzing being connected with analyzing of autocorrelations function out of field of essential correlation (see: [1.3], [1.16],[4.4],[4.5] and so on). The calculations results have been used for analyses of oscillations processes (and wave’s processes too. (see: [4.4],[4.5] and so on)).
According to mathematical algorithm of modeling of systems of wind waves field presented earlier (see part 4 and part 1: # 1.10 and 1.11) the results of modeling of waves in ports having complex configurations has been considered.