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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)|2R)2} 4z(n)(|z(n)|2R)
MMA E{[|y R (n)|2R 1,R ]2+[|y I (n)|2R 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 \(\boldsymbol {E}\left \{ \frac {|z_{R}(n)|^{3}}{{3R_{2,R}}} - \frac {{z^{2}_{R}}(n)}{2} + \frac {{R_{2,R}}^{2}}{6} + \frac {|z_{I}(n)|^{3}}{{3R_{2,I}}} - \frac {{z^{2}_{I}}(n)}{2} + \frac {{R_{2,I}}^{2}}{6} \right \}\) \(z_{R}(n)\left (1-\frac {|z_{R}(n)|}{{R_{2,R}}}\right)+ {jz}_{I}(n)\left (1-\frac {|z_{I}(n)|}{{R_{2,I}}}\right)\)