Abstract: A partial Fourier Transform is performed, using Goertzel's algorithm, to calculate two frequency bins. A phase variation is calculated for each bin, the phase variation preferably representing the phase difference between the bin calculated by a Fourier Transform performed on samples in a guard interval and the bin calculated by a Fourier Transform performed on matching samples within the useful part of the symbol. The local oscillator frequency offset is compensated by summing the phase variations, and the sampling frequency offset is compensated by taking the difference between the phase variations.

Abstract: FFT demodulation of OFDM symbols is achieved using a frame synchronization pulse generated by deriving absolute values of successive complex samples of the OFDM symbol, determining the difference between such values and other values separated therefrom by a period representing the useful part of the OFDM symbol, integrating the difference values over a plurality of symbols and determining the sample position representing the point at which the integrated difference values substantially change.

Abstract: A partial Fourier Transform is performed, using Goertzel's algorithm, to calculate two frequency bins. A phase variation is calculated for each bin, the phase variation preferably representing the phase difference between the bin calculated by a Fourier Transform performed on samples in a guard interal and the bin calculated by a Fourier Transform performed on matching samples within the useful part of the symbol. The local oscillator frequency offset is compensated by summing the phase variations, and the sampling frequency offset is compensated by taking the difference between the phase variations.