Abstract :
As bees and crystals (and people selling oranges in the market) know it for many years, lattices provide efficient structures for packing, covering, quantization and channel coding. In the recent years, interesting links were found between lattices and coding schemes for multi-terminal networks. This tutorial paper covers close to 20 years of my research in the area; of enjoying the beauty of lattice codes, and discovering their power in dithered quantization, dirty paper coding, Wyner-Ziv DPCM, modulo-lattice modulation, distributed interference cancelation, and more.
Keywords :
channel coding; interference suppression; quantisation (signal); channel coding; dirty paper coding; distributed interference cancelation; dithered quantization; lattice codes; modulo-lattice modulation; multiterminal networks; AWGN; Additive white noise; Channel coding; Crystals; H infinity control; Information theory; Interference cancellation; Lattices; Modulation coding; Quantization;