FIG. 5 is a flow chart showing a process for obtaining a constellation optimized for capacity for use in a communication system having a fixed code rate and modulation scheme in accordance with an embodiment of the invention.
FIG. 6a is a chart showing a comparison of Gaussian capacity and PD capacity over the AWGN channel for traditional PAM-2,4,8,16,32.
FIG. 6b is a chart showing a comparison between Gaussian capacity and joint capacity over the AWGN channel for traditional PAM-2,4,8,16,32.
FIG. 7 is a chart showing the SNR gap to Gaussian capacity for the PD capacity and joint capacity over the AWGN channel of traditional PAM-2,4,8,16,32 constellations.
FIG. 8a is a chart comparing the SNR gap to Gaussian capacity of the PD capacity for traditional and optimized PAM-2,4,8,16,32 constellations, over the AWGN channel.
FIG. 8b is a chart comparing the SNR gap to Gaussian capacity of the joint capacity for traditional and optimized PAM-2,4,8,16,32 constellations, over the AWGN channel.
FIG. 9 is a chart showing Frame Error Rate performance of traditional and PD capacity optimized PAM-32 constellations in simulations involving several different length LDPC codes, over the AWGN channel.