Power normalized update algorithm for adaptive filters-without divisions

Two power-normalized update algorithms for adaptive filters that do not require divisions are described. The algorithms are based on very simple iterative procedures that approximate divisions. Since neither the quotients nor the dividends change quickly, the division procedures need only be updated once each time the coefficients of the adaptive filter are updated. The new update algorithms result in adaptive filters only slightly more complex than steepest descent adaptive filters. The algorithms are especially applicable to real-time adaptive filters realized using single chip digital signal processors or custom ASICs (application-specific integrated circuits), where hard-wired dividers are usually not available and fast convergence is still desired