Practical Coding and Decoding Schemes for the Interference Channel

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By utilizing a combination of traditional and novel information theoretic and coding tools, the applicant will investigate methods by which to reduce the amount of "noise" received when transmitting multiple wireless signals. This work will have significant impacts on the future of wireless communication standards and for practical wireless communication infrastructure. The applicant intends to investigate practical designs for transmitters and practical decoding algorithms for receivers within an interference network. On the transmitter side, we will investigate the use of structured codes from lattice theory in combination with algebraic codes using number theoretic tools originally codeveloped by the applicant for the design of diversity-multiplexing tradeoff optimal space-time coding schemes. The design criteria will take into account practical real-world situations such as the lack of channel variability, the lack of common timing reference, the finite signal to noise ratio, the finite precision quantization, and the limitation (or lack) of channel state information availability. We will consider designing lattice beamforming schemes that allow a tradeoff between achievable throughput and performance levels by sending appropriate versions of the signal plus interference over different resources. Then, we will consider the combination of lattice beamforming for interference alignment and algebraic space-time codes specifically designed to increase the diversity at the intended receiver without increasing interference levels where the signal is not intended. We will focus our attention on high rate codes that allow separability of the decoding metric at each intended receiver. Finally, we will consider the design of reduced complexity, conditionally optimized decoders that take advantage of the proposed interference alignment schemes at finite values of signal to noise ratio. Coding schemes particularly adapted for the proposed conditional decoder will be investigated.