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Multicarrier modulation partitions an inter-symbol interference channel into multiple narrowband channels if the length of the cyclic prefix is longer than the channel impulse response. Otherwise, interference from the current and previous multicarrier symbols causes significant distortion at the receiver. This paper expands on the approach introduced, where a transmitter based precoder suppresses insufficient-cyclic-prefix distortion. In this paper, the problem of finding an approximate optimal linear precoder to maximize the data-rate in the presence of Inter-Carrier Interference (ICI) due to insufficient-cyclic-prefix distortion is formulated and shown to be a convex optimization problem.
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