Modem utilizing parity and convolutional encoder feedback

Abstract

A modem is provided with a Trellis encoder which utilizes a double-branch feedback, with a first branch of the feedback including a convolutional encoder, and a second branch of the feedback including a parity generator which computes the parity of consecutive offsets. The Trellis encoder includes a four-dimensional (4D) mapper which generates pairs of 2D points u(k). Each point is offset by a value c(k) to obtain offset points y(k) which are then predistorted by a value p(k) to obtain an output x(k). The output x(k) is filtered to update the predistortion value p(k) which in turn is used to update the offset value c(k). The offset value c(k) is chosen from a 2D constellation lattice which is closest to the predistortion value p(k). The parity C0 of consecutive offset values c(k) is used in conjunction with a redundant bit output Y0 of a convolutional encoder to generate a rotational feedback bit input U0 to the 4D mapper, where the rotational bit input is the parity of two 2D points chosen by the mapper. The mapper uses bit U0 in generating the second of the pair of points u(k). The second point is likewise offset to obtain another offset value y(k), and then predistorted to obtain another output. Two offset values y(k) are used by the convolutional encoder to generate the next redundant bit output with is eventually used with the parity of the next two offset values to generate the next bit U0 for the second of the next pair of points.