An equalizer for a multi carrier transmission system, converts a
transmitted multi carrier signal into sampled frequency domain signals,
and suppresses time domain delay dispersion, on the sampled frequency
domain signals. It exploits circulant decomposition of a Toeplitz matrix
to enable the computationally heavy evaluation of a matrix multiplied by
a vector, to be avoided. Increased precision arises from the frequency
domain processing being equivalent to a longer time domain FIR filter
than is normally practical. The amount of compensation for different
carriers can be adjusted, which can lead to increased precision.