A sliding-window multi-carrier communication
system is described, wherein the carriers are orthogonal in a local sense, but not necessarily in a global sense. In one embodiment, the
system allows a reduction of the length of the
basis function time as compared to conventional OFDM systems. In some circumstances, the symbol time can be reduced almost to the
basis function length even though the
delay spread from channel-to-channel is significant. In one embodiment, a
discrete Fourier transform DFT is used in the sliding-window
receiver. In one embodiment, the DFT produces M outputs (one output for each of M channels) for each time-domain input. In one embodiment, the DFT produces outputs for M channels from N samples, where N is a
basis function length. In one embodiment, the sliding-window
receiver provides an adjustable basis-function length. In one embodiment, the basis-function length can be separately selected for each channel. In one embodiment, the sliding-window
receiver provides independent
equalization for each channel by extracting
equalization information from a packet header.