Integral transforms associated with orthogonal finite functions in the spectral analysis of signals

The integral OFF-transforms based on the use of orthogonal finite functions (OFF) are considered. Inverse discrete and integral OFF- transforms are obtained. Their effectiveness is revealed in the tasks of signals restoring and noise reduction. On the basis of proposed OFF complex OFF (COFF) and integral COFF- transforms are constructed. A study of effectiveness OFF- and KOFF- transforms in the tasks of the spectral analysis of the mathematical models of signals is conducted on the basis of comparison with the integral wavelet-transforms.