# Efficient Modulation for Band-Limited Channels

@article{Forney1984EfficientMF, title={Efficient Modulation for Band-Limited Channels}, author={G. David Forney and Robert G. Gallager and Gordon R. Lang and Fred M. Longstaff and Shahid U. H. Qureshi}, journal={IEEE J. Sel. Areas Commun.}, year={1984}, volume={2}, pages={632-647} }

This paper attempts to present a comprehensive tutorial survey of the development of efficient modulation techniques for bandlimited channels, such as telephone channels. After a history of advances in commercial high-speed modems and a discussion of theoretical limits, it reviews efforts to optimize two-dimensional signal constellations and presents further elaborations of uncoded modulation. Its principal emphasis, however, is on coded modulation techniques, in which there is an explosion of…

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