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We provide an analysis of the constant modulus (CM) cost function under the assumption of a white equalizer input. This can be achieved by means of an adaptive prewhitening all-pole filter and has been suggested in previous works as a means for both MSE improvement and DFE cold start-up. For white inputs, it is seen that CM-optimizing the spherical component of the equalizer parameter vector is equivalent to minimizing the fourth moment of its output, regardless of the value of the radialdoi:10.1109/icassp.2002.5745190 dblp:conf/icassp/Lopez-ValcarceP02 fatcat:w6sg4uq7ijbeljr2sg5umyf42u