Comparison of Performance and Computational Complexity of Nonlinear Active Noise Control Algorithms

Table 2

Complexity comparison of NANC algorithms.

NANC algorithm	Op.	Controller output (stage 1)	Filtered x; (stage 2)	Weights update; (stage 3)	Sin(⋅) & Cos(⋅)	Total	𝑀=10; 𝐿=4
FXLMS	×	𝑀	𝐿	𝑀+1	—	2𝑀+𝐿+1	25
	+	𝑀−1	𝐿−1	𝑀	—	2𝑀+𝐿−2	22
VFXLMS; 2^Md order	×	𝑀(𝑀+5)/2	𝐿	𝑀^2+2𝑀+1	—	(3𝑀^2+9𝑀+2𝐿+2)/2	200
	+	(𝑀^2+3𝑀−4)/2	𝐿−1	𝑀(𝑀+1)/2	—	𝑀2+2𝑀+𝐿−3	121
BFXLMS	×	2𝑀^2+4𝑀+1	2𝐿	𝑀^2+4𝑀+4	—	3𝑀^2+8𝑀+2𝐿+5	393
	+	𝑀^2+3𝑀−2	2𝐿−2	𝑀^2+3𝑀+1	—	2𝑀2+6𝑀+2𝐿−3	265
FSLMS; 𝑃=3	×	7𝑀	7𝐿𝑀	14𝑀	6𝑀	7𝑀(𝐿+3)	490
	+	7𝑀−1	7𝑀−𝐿+1	7𝑀−1	—	21𝑀−𝐿−1	205