A method for OFDM communication using an OFDM receiver configured to receive and process an input signal comprising at least one OFDM symbol comprising data subchannels and pilot subchannels (520, 530), the method comprising: performing first time domain channel estimation (720, 820) using a reference signal (S, 703, 803, 620, 630) local to the receiver and the input signal to generate a first time domain channel estimate (h 1, 722, 822) as an initial estimate of a channel over which the received OFDM symbol (520, 530) was transmitted, wherein the reference signal has, in the frequency domain, a symbol structure similar to the one of the received OFDM symbol wherein the symbol structure comprises pilot subchannels corresponding to the pilot subchannels in the received OFDM symbol and data subchannels modulated by zero; generating a basis and providing the basis to a dimension reduction module (740, 840), the dimension reduction module coupled to provide an output to a projection module (750, 850), the projection module projecting (750, 850) the first time domain channel estimate (h 1, 722, 822) to obtain a reduced dimension representation (h S, 752, 852) of the first time domain estimate; generating a second time domain channel estimate (g, 780, 880) using the first time domain channel estimate (h 1, 722, 822) and the reduced dimension representation of the first time domain channel estimate, the second time domain channel estimate (g, 780, 880) more accurately characterizing the time domain channel over which the received OFDM symbol (520, 530) was transmitted; using the second time domain channel estimate and the received OFDM symbol, generating an equalized signal frequency domain OFDM signal; and outputting (232, 351, 451) output information responsive to the equalized signal. performing first time domain channel estimation (720, 820) using a reference signal (S, 703, 803, 620, 630) local to the receiver and the input signal to generate a first time domain channel estimate (h 1, 722, 822) as an initial estimate of a channel over which the received OFDM symbol (520, 530) was transmitted, wherein the reference signal has, in the frequency domain, a symbol structure similar to the one of the received OFDM symbol wherein the symbol structure comprises pilot subchannels corresponding to the pilot subchannels in the received OFDM symbol and data subchannels modulated by zero; generating a basis and providing the basis to a dimension reduction module (740, 840), the dimension reduction module coupled to provide an output to a projection module (750, 850), the projection module projecting (750, 850) the first time domain channel estimate (h 1, 722, 822) to obtain a reduced dimension representation (h S, 752, 852) of the first time domain estimate; generating a second time domain channel estimate (g, 780, 880) using the first time domain channel estimate (h 1, 722, 822) and the reduced dimension representation of the first time domain channel estimate, the second time domain channel estimate (g, 780, 880) more accurately characterizing the time domain channel over which the received OFDM symbol (520, 530) was transmitted; using the second time domain channel estimate and the received OFDM symbol, generating an equalized signal frequency domain OFDM signal; and outputting (232, 351, 451) output information responsive to the equalized signal.