Leonardo Journal of Sciences ISSN 1583-0233 Issue 20, January-June 2012 p. 1-14 1 http://lejpt.academicdirect.org An Integrated Approach for Non-Recursive Formulation of Connection- Coefficients of Orthogonal Functions Monika GARG * and Lillie DEWAN Electrical Engineering Department, National Institute of Technology Kuruksehtra, India - 136119. E-mails: monika_mittalkkr@rediffmail.com (1), l_dewan@nitkkr.ac.in (2) * Corresponding author Abstract In this paper, an integrated approach is proposed for non-recursive formulation of connection coefficients of different orthogonal functions in terms of a generic orthogonal function. The application of these coefficients arises when the product of two orthogonal basis functions are to be expressed in terms of single basis functions. Two significant advantages are achieved; one, the non-recursive formulations avoid memory and stack overflows in computer implementations; two, the integrated approach provides for digital hardware once-designed can be used for different functions. Computational savings achieved with the proposed non-recursive formulation vis-à-vis recursive formulation, reported in the literature so far, have been demonstrated using MATLAB PROFILER. Keywords Connection Coefficients; Haar Wavelet; Orthogonal Functions; Operational Matrices; Product Coefficients Matrices.