Abstract: Systems and methods for enhancing soft decoders and detectors on asymmetric channels are provided. The methods include acquiring log-likelihood ratios (LLRS) for error-correction code (ECC) encoded data symbols, selecting a quality measure function and a quality threshold based on the LLRs, applying the selected quality measure function to the LLRs to obtain quality measures, comparing the quality measures to the selected quality threshold, and updating the LLRs for selected ECC encoded data symbols based on the comparisons. The updating may occur by multiplying the LLRs for the selected ECC encoded data symbols by a selected scaling factor.

Abstract: The disclosed technology provides systems and methods for identifying potential error locations, patterns, and likelihood metrics in connection with trellis-based detection/decoding. In one aspect of the invention, the disclosed technology computes soft reliability information for each detected/decoded bit or codeword syndrome value.

Abstract: Systems and methods for enhancing soft decoders and detectors on asymmetric channels are provided. The methods include acquiring log-likelihood ratios (LLRS) for error-correction code (ECC) encoded data symbols, selecting a quality measure function and a quality threshold based on the LLRs, applying the selected quality measure function to the LLRs to obtain quality measures, comparing the quality measures to the selected quality threshold, and updating the LLRs for selected ECC encoded data symbols based on the comparisons. The updating may occur by multiplying the LLRs for the selected ECC encoded data symbols by a selected scaling factor.

Abstract: A low-density parity-check (LDPC) decoder includes a plurality of bit node processing elements, and a plurality of check node processing elements. The LDPC decoder also includes a plurality of message passing memory blocks. A first routing matrix couples the plurality of bit node processing elements to the plurality of message passing memory blocks. A second routing matrix couples the plurality of check node processing elements to the plurality of message passing memory blocks. The first routing matrix and the second routing matrix enable each bit node to exchange LDPC decoding messages with an appropriate check node via a corresponding one of the message passing memory blocks.

Abstract: The disclosed technology provides systems and methods for identifying potential error locations, patterns, and likelihood metrics in connection with trellis-based detection/decoding. In one aspect of the invention, the disclosed technology detects information that was previously encoded based on a trellis, and decodes the detected information based on the trellis to provide decoded information. The decoded information corresponds to a winning path through the trellis that ends at a winning state. The disclosed technology can identify one or more alternate paths through the trellis that also end at the winning state, and can generate a potential error pattern for each of the alternate paths.

Abstract: The disclosed technology provides systems and methods for identifying potential error locations, patterns, and likelihood metrics in connection with trellis-based detection/decoding. In one aspect of the invention, the disclosed technology detects information that was previously encoded based on a trellis, and decodes the detected information based on the trellis to provide decoded information. The decoded information corresponds to a winning path through the trellis that ends at a winning state. The disclosed technology can identify one or more alternate paths through the trellis that also end at the winning state, and can generate a potential error pattern for each of the alternate paths.

Abstract: A system and method is provided for performing concatenated error correction. In one implementation, an apparatus for encoding data includes an outer encoder to generate a code word corresponding to received input data and a parity circuit to compute parities of logical cells of data, the logical cells of data being obtained from the code word and having a first logical cell. The apparatus also includes an inner encoder to generate an error correction bit for the first logical cell based on a first parity corresponding to the first logical cell, and to insert the error correction bit in the first logical cell.

Abstract: Systems and methods for constructing concatenated codes for data storage channels, such as holographic storage channels, are provided. The concatenated codes include an outer BCH code and an inner iteratively decodable code, such as an LDPC code or turbo code. The correction power and coding rate of one or both of the codes may be programmable based on the channel characteristics and the desired SNR coding gain. The correction power and/or coding rate of the inner and/or outer code may also be dynamically adjusted in real-time to compensate for time-varying error conditions on the channel.

Abstract: The disclosed technology provides systems and methods for identifying potential error locations, patterns, and likelihood metrics in connection with trellis-based detection/decoding. In one aspect of the invention, the disclosed technology computes soft reliability information for each detected/decoded bit or codeword syndrome value.

Abstract: A processor for performing fast Fourier-type transform operations is disclosed. At least one multiplier and a plurality of adders are provided to perform butterfly operations comprising three multiply operations and a plurality of add operations. Internal wordlengths are wider than wordlengths of input values to reduce rounding error.