On a new class of quasi-orthogonal filters

Design of generalised orthogonal filters: application to the modelling of dynamical systems

“…design of orthogonal signal generators [10], least square approximations [11][12][13], process modelling [14,15], and practical realizations of optimal [11,16] and adaptive systems [17,18]. A c c e p t e d M a n u s c r i p t…”

“…The authors of this article have developed specific methods for obtaining orthogonal functions and found their wide application in engineering [11,[15][16][17][19][20][21][22].…”

Orthogonal Hybrid-Fuzzy Controllers

“…Quasi-orthogonal functions and especially quasi-orthogonal polynomials as well as their numerous applications are discussed in many papers [11,12,[14][15][16]. It is important to notice that classical orthogonal filters and orthogonal signal generators have transfer functions with the order of numerator polynomial for one less then denominator.…”

“…Polynomials defined in this way are actually combination of two classes of polynomials and they are their generalization suitable for further applications. Now, we define a combination of almost [9] and quasi-orthogonal polynomials [14] …”

“…Also, in this experiment we used controller of PD type. Inner products of the generalized quasi-orthogonal type of membership functions described by (14) and (15) [18] is designed using (14) and (15) and it has 25 rules. These rules are given in Table 2.…”