Integrated modeling tools for large ground-based optical telescopes

In a system that uses a dither signal in the production of a transmitted signal, the recoverability of an original trellis code is maintained while forming the dither signal using a modulo value that is equal to the distance between two adjacent symbols. This is accomplished by forming individual modulo counts for each of the orthogonal components produced by the transmitter's 3-tap FIR filter. The modulo counts and the bits from the trellis encoder are used to substitute the constellation subset identified by the trellis encoder with another constellation subset. The substituted subset is used for transmission and results in recovery of the original trellis code by the trellis decoder in the receiver.