Method of computing spectral factors in piecewise-quadratic bases and its application in problems of digital signal processing

Many different piecewise-quadratic bases are in existence, but they cannot be used practically since the method for calculation of factors in these bases have not been developed. This work is hardware-oriented method, that allows the use of existing algorithms of fast transformations based on Haar and Harmut’s orthogonal step-function for the calculation of coefficients both piecewise-linear, and piecewise-quadratic bases factors.