Construction of a multioutput digital function generator using approximating functional structures

Conclusion

The proposed method of approximating functional structures for the realization of a multioutput digital function generator permits the representation of a given function F(x₁, x₂, ..., x_n) in the form-of the most simply realized segments of various functional series. Usually the first terms of any functional series are most simply realized; so, as shown above, linear and quadratic terms of exponential series and several first terms of an orthogonal series with the basis$\int\limits_0^z {W_\alpha (z)dz}$ have been used in forming the approximating structures. Considering the fact that the coefficients of functional series characteristically decrease in magnitude with increase in the order number of the series term, the proposed method, for a given accuracy of approximation, permits a significant reduction in the number of terms of the expansion to be stored, which, in turn, simplifies the device realizing a given functional relationship.