Research Article

A ROM-Less Direct Digital Frequency Synthesizer Based on Hybrid Polynomial Approximation

Table 3

Comparison on different polynomial arrangement.

Rule Required multiplierAdders

Standard fourth orderEquation (1)7 (4 fixed coefficients, 1 variable
Coefficient, and 2 squarer)
4
Horner rule Equation (4)4 (1 fixed coefficient and 3 variable coefficients)4
Reference [12] Equation (5)4 (2 fixed coefficients and 2 squarer)4
Proposed rule Equation (6)3 (1 fixed coefficient, 1 squarer,
and 1 variable coefficient)
5