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We discuss different methods for phenomenological approximations of signalswith (generally) irregularly spaced arguments. Such signals may be classifiedas periodic, multi-periodic, quasi-periodic (cyclic), burst-type andflicker-type (see e.g. a review by Andronov (2003)). In this talk, weconcentrate on (nearly) periodic light curves of the Algol-type eclipsingvariables. Having no possibility to determine all physical parameters for allstars and to make physical modeling, the phenomenological fits are used. Thisis especially important for discovery papers, when there are often availableonly mono-chromatic photometric data, without estimates of temperature andorbital velocities of the components.

Special Shapes for Optimal Phenomenological Approximations of Astronomical Signals