A method and modem for communicating serial input data over a transmission link. Serial input data is partitioned into parallel data elements prior to rotation by an invertible linear mapping. Resulting frames of parallel
signal elements sequentially modulate a carrier, which is then transmitted over the link. After
receipt of the modulated carrier from the link, the
signal is demodulated and assembled into frames of parallel
signal elements which are de-rotated by an inverse linear mapping.
Thresholding the result of the inverse mapping recovers the parallel data elements, which are then re-assembled into serial output data. The linear mapping employs: 1) commuting rotation matrices for convolutionally rotating data vectors into signal vectors and vice-versa; 2)
filter bank polyphase rotation matrices; or 3) computationally efficient multi-rate
wavelet filter banks.
Transmitter pre-emphasis places most of the information in lower
baseband frequencies; complimentary de-emphasis occurs in the
receiver. Logarithmic amplification of the
baseband signal prior to
carrier modulation improves modulation
gain and transmit channel
noise attenuation. Coefficients of the
rotation matrix of the
receiver are adaptively equalized to correct for transmission path
distortion. FM double-
side band is employed in systems requiring minimized cost and complexity. FM single-
side band is employed in systems in which bandwidth reduction is desirable. AM is also employable.