Abstract:
A signal resampler carries out a time domain interpolation of an input signal for compensating for frequency offset, such as found in an ADSL system. A sample selector interpolator carries out part of the interpolation and a second, e.g. polynomial interpolator carries out the rest of the interpolation. The time interval between samples being interpolated, can be effectively divided between sample selector interpolator and a small second, e.g. polynomial interpolator. The complexity of the second, e.g. polynomial interpolator can be reduced or its accuracy increased if it is effectively interpolating over a much smaller time interval. The sample selector interpolator can be an oversampling arrangement, and enable the order of the second, e.g. polynomial interpolator to be reduced. Selected ones of the oversampled samples are fed to the second, e.g. polynomial interpolator to keep the operating frequency lower. A chain of upsamplers can be used to generate the oversampled samples.
Abstract:
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.