Skip to main content

Table 4 Computational complexity per node per time instant

From: Adaptive link selection algorithms for distributed estimation

Algorithm

Multiplications

Additions

ES-LMS

\(\left [{\frac {(t+1)|\mathcal {N}_{k}|!}{t!(|\mathcal {N}_{k}|-t)!}}+8\right ]M+2\)

\(\left [{\frac {|\mathcal {N}_{k}|!}{(t-1)!(|\mathcal {N}_{k}|-t)!}}+8\right ]M\)

ES-RLS

\(4M^{2}+\left [{\frac {(t+1)|\mathcal {N}_{k}|!}{t!(|\mathcal {N}_{k}|-t)!}}+16\right ]M+2\)

\(4M^{2}+\left [{\frac {|\mathcal {N}_{k}|!}{(t-1)!(|\mathcal {N}_{k}|-t)!}}+12\right ]M-1\)

SI-LMS

\((8+2|\mathcal {N}_{k}|)M+4|\mathcal {N}_{k}|+2\)

\((8+|\mathcal {N}_{k}|)M+2|\mathcal {N}_{k}|\)

SI-RLS

\(4M^{2}+(16+2|\mathcal {N}_{k}|)M+4|\mathcal {N}_{k}|+2\)

\(4M^{2}+(12+|\mathcal {N}_{k}|)M+2|\mathcal {N}_{k}|-1\)