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Table 1 Computational complexity of the seven narrowband ANC systems in terms of real multiplications

From: A survey on filtered-x least mean square-based active noise control systems with emphasis on reducing computational complexity

 

FX-NANC

DFX-NANC

BFX-NANC

LFX-NANC

FE-NANC

LFE-NANC

CFX-NANC

Controller output

\(2q\)

\(2q\)

\(2q\)

\(2q\)

\(2q\)

\(2q\)

\(8q\)

Reference filtering

\(2q\hat{M}\)

\(0\)

\(2\hat{M} + 8q\)

\(2q\hat{M}_{l}\)

\(\hat{M}\)

\(q\hat{M}_{l}\)

\(8q\)

Weight updating

\(3q\)

\(3q\)

\(3q\)

\(3q\)

\(3q\)

\(3q\)

\(10q\)

Total

\(2q\hat{M} + 5q\)

\(5q\)

\(2\hat{M} + 13q\)

\(2q\hat{M}_{l} + 5q\)

\(\hat{M} + 5q\)

\(q\hat{M}_{l} + 5q\)

\(26q\)