Abstract: A method for the Costa problem includes turbo-like nested code. In one embodiment, the method includes providing a turbo-like trellis-coded quantization for source coding. The method also includes providing a turbo trellis-coded modulation for channel coding.

Abstract: A system and method for realizing a Wyner-Ziv encoder may involve the following steps: (a) apply nested quantization to input data from an information source in order to generate intermediate data; and (b) encode the intermediate data using an asymmetric Slepian-Wolf encoder in order to generate compressed output data representing the input data. Similarly, a Wyner-Ziv decoder may be realized by: (1) applying an asymmetric Slepian-Wolf decoder to compressed input data using side information to generate intermediate values, and (b) jointly decoding the intermediate values using the side information to generate decompressed output data.

Abstract: A system and method for realizing a Wyner-Ziv encoder may involve the following steps: (a) apply nested quantization to input data from an information source in order to generate intermediate data; and (b) encode the intermediate data using an asymmetric Slepian-Wolf encoder in order to generate compressed output data representing the input data. Similarly, a Wyner-Ziv decoder may be realized by: (1) applying an asymmetric Slepian-Wolf decoder to compressed input data using side information to generate intermediate values, and (b) jointly decoding the intermediate values using the side information to generate decompressed output data.

Abstract: A system and method for realizing a Wyner-Ziv encoder may involve the following steps: (a) apply nested quantization to input data from an information source in order to generate intermediate data; and (b) encode the intermediate data using an asymmetric Slepian-Wolf encoder in order to generate compressed output data representing the input data. Similarly, a Wyner-Ziv decoder may be realized by: (1) applying an asymmetric Slepian-Wolf decoder to compressed input data using side information to generate intermediate values, and (b) jointly decoding the intermediate values using the side information to generate decompressed output data.

Abstract: System and method for designing Slepian-Wolf codes by channel code partitioning. A generator matrix may be partitioned to generate a plurality of sub-matrices corresponding respectively to a plurality of correlated data sources. The partitioning may be performed in accordance with a rate allocation among the plurality of correlated data sources. A corresponding plurality of parity matrices may then be generated based respectively on the sub-matrices, where each parity matrix is useable to encode correlated data for a respective correlated data source.

Abstract: A system and method for realizing a Wyner-Ziv encoder may involve the following steps: (a) apply nested quantization to input data from an information source in order to generate intermediate data; and (b) encode the intermediate data using an asymmetric Slepian-Wolf encoder in order to generate compressed output data representing the input data. Similarly, a Wyner-Ziv decoder may be realized by: (1) applying an asymmetric Slepian-Wolf decoder to compressed input data using side information to generate intermediate values, and (b) jointly decoding the intermediate values using the side information to generate decompressed output data.

Abstract: A system and method for realizing a Wyner-Ziv encoder may involve the following steps: (a) applying nested quantization to input data from an information source in order to generate intermediate data; and (b) encoding the intermediate data using an asymmetric Slepian-Wolf encoder in order to generate compressed output data representing the input data. Similarly, a Wyner-Ziv decoder may be realized by applying an asymmetric Slepian-Wolf decoder to compressed input data (representing samples of a first source) to obtain intermediate values, and then, jointly decoding the intermediate values using side information (samples of a second source having known correlation with respect to the first source).

Abstract: System and method for Slepian-Wolf coding using channel code partitioning. A generator matrix is partitioned to generate multiple sub-matrices corresponding respectively to multiple correlated data sources. The partitioning is in accordance with a rate allocation among the correlated data sources. Corresponding parity matrices may be generated respectively from the sub-matrices, where each parity matrix is useable to encode correlated data for a respective correlated data source, resulting in respective syndromes, e.g., in the form of binary vectors. A common receiver may receive the syndromes and expand them to a common length by inserting zeros appropriately. The expanded syndromes may be vector summed (e.g., modulo 2), and a single channel decoding applied to determine a closest codeword, portions of whose systematic part may be multiplied by respective submatrices of the generator matrix, which products may be added to the respective expanded syndromes to produce estimates of the source data.