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Table 1 Blind algorithm equations

From: Frequency domain soft-constraint multimodulus blind equalization for uplink SC-FDMA

Algorithm

Cost function

Estimation error (e(n))

CMA

E{(|z(n)|2−R)2}

4z(n)(|z(n)|2−R)

MMA

E{[|y R (n)|2−R 1,R ]2+[|y I (n)|2−R 1,I ]2}

\(2\left [ z_{R}(n)\left ({z_{R}^{2}}(n)-R_{1,R}\right)+{jz}_{I}(n)\left ({z_{I}^{2}}(n)-R_{1,I}\right)\right ]\)

SCS-MMA

\(\boldsymbol {E}\left \{ \frac {|z_{R}(n)|^{3}}{{3R_{2,R}}} - \frac {{z^{2}_{R}}(n)}{2} + \frac {{R_{2,R}}^{2}}{6} + \frac {|z_{I}(n)|^{3}}{{3R_{2,I}}} - \frac {{z^{2}_{I}}(n)}{2} + \frac {{R_{2,I}}^{2}}{6} \right \}\)

\(z_{R}(n)\left (1-\frac {|z_{R}(n)|}{{R_{2,R}}}\right)+ {jz}_{I}(n)\left (1-\frac {|z_{I}(n)|}{{R_{2,I}}}\right)\)