Abstract: Single CRC polynomial for both turbo code block CRC and transport block CRC. Rather than employing multiple and different generation polynomials for generating CRC fields for different levels within a coded signal, a single CRC polynomial is employed for the various levels. Effective error correction capability is achieved with minimal hardware requirement by using a single CRC polynomial for various layers of CRC encoding. Such CRC encoding can be implemented within any of a wide variety of communication devices that may be implemented within a wide variety of communication systems (e.g., a satellite communication system, a wireless communication system, a wired communication system, and a fiber-optic communication system, etc.). In addition, a single CRC check can be employed within a receiver (or transceiver) type communication device for each of the various layers of CRC of a received signal.

Abstract: LDPC (Low Density Parity Check) codes with corresponding parity check matrices selectively constructed with CSI (Cyclic Shifted Identity) and null sub-matrices. An LDPC matrix corresponding to an LDPC code is employed within a communication device to encode and/or decode coded signals for use in any of a number of communication systems. The LDPC matrix is composed of a number of sub-matrices and may be partitioned into a left hand side matrix and a right hand side matrix. The right hand side matrix may include two sub-matrix diagonals therein that are composed entirely of CSI (Cyclic Shifted Identity) sub-matrices; one of these two sub-matrix diagonals is located on the center sub-matrix diagonal and the other is located just to the left thereof. All other sub-matrices of the right hand side matrix may be null sub-matrices (i.e., all elements therein are values of zero “0”).

Abstract: The present disclosure presents symbol mapping for any desired error correction code (ECC) and/or uncoded modulation. A cross-shaped constellation is employed to perform symbol mapping. The cross-shaped constellation is generated from a rectangle-shaped constellation. Considering the rectangle-shaped constellation and its left hand side, a first constellation point subset located along that left hand side are moved to be along a top of the cross-shaped constellation while a second constellation point subset located along that left hand side are moved to be along a bottom of the cross-shaped constellation. For example, considering an embodiment having four constellation point subsets along the left hand side of the rectangle-shaped constellation, two of those subsets are moved to be along the top of the cross-shaped constellation while two other subsets of the constellation points along the left hand side are moved to be along the bottom of the cross-shaped constellation.

Abstract: Turbo decoder employing ARP (almost regular permutation) interleave and arbitrary number of decoding processors. A novel approach is presented herein by which an arbitrarily selected number (M) of decoding processors (e.g., a plurality of parallel implemented turbo decoders) be employed to perform decoding of a turbo coded signal while still using a selected embodiment of an ARP (almost regular permutation) interleave. The desired number of decoding processors is selected, and very slight modification of an information block (thereby generating a virtual information block) is made to accommodate that virtual information block across all of the decoding processors during all decoding cycles except some dummy decoding cycles. In addition, contention-free memory mapping is provided between the decoding processors (e.g., a plurality of turbo decoders) and memory banks (e.g., a plurality of memories).

Abstract: LDPC (Low Density Parity Check) codes with corresponding parity check matrices selectively constructed with CSI (Cyclic Shifted Identity) and null sub-matrices. An LDPC matrix corresponding to an LDPC code is employed within a communication device to encode and/or decode coded signals for use in any of a number of communication systems. The LDPC matrix is composed of a number of sub-matrices and may be partitioned into a left hand side matrix and a right hand side matrix. The right hand side matrix may include two sub-matrix diagonals therein that are composed entirely of CSI (Cyclic Shifted Identity) sub-matrices; one of these two sub-matrix diagonals is located on the center sub-matrix diagonal and the other is located just to the left thereof. All other sub-matrices of the right hand side matrix may be null sub-matrices (i.e., all elements therein are values of zero “0”).

Abstract: LDPC (Low Density Parity Check) code size adjustment by shortening and puncturing. A variety of LDPC coded signals may be generated from an initial LDPC code using selected shortening and puncturing. Using LDPC code size adjustment approach, a single communication device whose hardware design is capable of processing the original LDPC code is also capable to process the various other LDPC codes constructed from the original LDPC code after undergoing appropriate shortening and puncturing. This provides significant design simplification and reduction in complexity because the same hardware can be implemented to accommodate the various LDPC codes generated from the original LDPC code. Therefore, a multi-LDPC code capable communication device can be implemented that is capable to process several of the generated LDPC codes. This approach allows for great flexibility in the LDPC code design, in that, the original code rate can be maintained after performing the shortening and puncturing.

Abstract: Address generation for contention-free memory mappings of turbo codes with ARP (almost regular permutation) interleaves. Anticipatory address generation is employed using an index function , that is based on an address mapping , which corresponds to an interleave inverse order of decoding processing (??1). In accordance with parallel turbo decoding processing, instead of performing the natural order phase decoding processing by accessing data elements from memory bank locations sequentially, the accessing of addresses is performed based on the index function , that is based on an mapping and the interleave (?) employed within the turbo coding. In other words, the accessing data elements from memory bank locations is not sequential for natural order phase decoding processing. The index function also allows for the interleave (?) order phase decoding processing to be performed by accessing data elements from memory bank locations sequentially.

Abstract: Turbo coding having combined turbo de-padding and rate matching de-padding. An approach is presented by which a singular module is operable to perform both zero bit de-padding and dummy bit de-padding in accordance with turbo encoding. Zero padding can be performed on an input information stream before undergoing turbo encoding. One or more of the 3 outputs from the turbo encoding module (e.g., systematic bits, parity 1 bits, and parity 2 bits) may then undergo dummy bit padding as well. Thereafter, these 3 streams (some or all of which may have undergone dummy bit padding) undergo sub-block interleaving. After all of these operations have taken place, a singular combined de-padding module that can be employed to perform de-padding any zero padded bits and any dummy padded bits from each of the three streams that have undergone the sub-block interleaving.

Abstract: Flexible rate matching. No constraints or restrictions are placed on a sending communication device when effectuating rate matching. The receiving communication device is able to accommodate received transmissions of essentially any size (e.g., up to an entire turbo codeword that includes all systematic bits and all parity bits). The receiving communication device employs a relatively small-sized memory to ensure a lower cost, smaller sized communication device (e.g., handset or user equipment such as a personal wireless communication device). Moreover, incremental redundancy is achieved in which successive transmissions need not include repeated information therein (e.g., a second transmission need not include any repeated information from a first transmission). Only when reaching an end of a block of bits or codeword to be transmitted, and when wrap around at the end of such block of bits or codeword occurs, would any repeat of bits be incurred within a later transmission.

Abstract: LDPC (Low Density Parity Check) coding and interleaving implemented in multiple-input-multiple-output (MIMO) communication systems. As described herein, a wide variety of irregular LDPC codes may be generated using GRS or RS codes. A variety of communication device types are also presented that may employ the error correcting coding (ECC) using a GRS-based irregular LDPC code, along with appropriately selected interleaving, to provide for communications using ECC. These communication devices may be implemented to in wireless communication systems including those that comply with the recommendation practices and standards being developed by the IEEE 802.11n Task Group (i.e., the Task Group that is working to develop a standard for 802.11 TGn (High Throughput)).

Abstract: Formulaic flexible collision-free memory accessing for parallel turbo decoding with quadratic polynomial permutation (QPP) interleave. A means is presented by which any desired number of parallel implemented turbo decoding processors can be employed to perform turbo decoding that has been performed using a QPP interleave. This approach is presented to allow an arbitrarily selected number (M) of decoding processors (e.g., a plurality of parallel implemented turbo decoders) to perform decoding of a turbo coded signal while still using a selected embodiment of a QPP interleave. In addition, a collision-free memory mapping, (MOD,C,W) provides more freedom for selecting the particular quadratic polynomial permutation (QPP) interleave (?) that satisfies a parallel turbo decoding implementation with any desired number of parallel implemented turbo decoding processors.

Abstract: Multi-CSI (Cyclic Shifted Identity) sub-matrix based LDPC (Low Density Parity Check) codes. A CSI parameter set, that includes at least one dual-valued entry and may also include at least one single-valued entry, and/or at least one all-zero-valued entry, is employed to generate an LDPC matrix. One of the single-valued entries may be 0 (being used to generate a CSI matrix with cyclic shift value of 0, corresponding to an identity sub-matrix such that all entries along the diagonal have elements values of 1, and all other elements therein are 0). Once the LDPC matrix is generated, it is employed to decode an LDPC coded signal to make an estimate of an information bit encoded therein. Also, the LDPC matrix may itself be used as an LDPC generator matrix (or the LDPC generator matrix may alternatively be generated by processing the LDPC matrix) for use in encoding an information bit.

Abstract: LDPC (Low Density Parity Check) codes with corresponding parity check matrices selectively constructed with CSI (Cyclic Shifted Identity) and null sub-matrices. An LDPC matrix corresponding to an LDPC code is employed within a communication device to encode and/or decode coded signals for use in any of a number of communication systems. The LDPC matrix is composed of a number of sub-matrices and may be partitioned into a left hand side matrix and a right hand side matrix. The right hand side matrix may include two sub-matrix diagonals therein that are composed entirely of CSI (Cyclic Shifted Identity) sub-matrices; one of these two sub-matrix diagonals is located on the center sub-matrix diagonal and the other is located just to the left thereof. All other sub-matrices of the right hand side matrix may be null sub-matrices (i.e., all elements therein are values of zero “0”).

Abstract: Virtual limited buffer modification for rate matching. A reduced-size memory module is employed within a communication device to assist in storage of log-likelihood ratios (LLRs) employed in accordance with turbo decoding. This architecture is also applicable to other types of error correction code (ECC) besides turbo code as well. The memory size is selected to match the number of coded bits (e.g., including information bits and redundancy/parity bits) that is included within a transmission. The received signals may be various transmissions made in accordance with hybrid automatic repeat request (HARQ) transmissions. When the LLRs calculated from a first HARQ transmission is insufficient to decode, those LLRs are selectively stored in the memory module. When LLRs corresponding to a second HARQ transmission is received, LLRs corresponding to both the first HARQ transmission and the second HARQ transmission are passed from the memory module for joint use in decoding.

Abstract: Quasi-cyclic LDPC (Low Density Parity Check) code construction is presented that ensures no four cycles therein (e.g., in the bipartite graphs corresponding to the LDPC codes). Each LDPC code has a corresponding LDPC matrix that is composed of square sub-matrices, and based on the size of the sub-matrices of a particular LDPC matrix, then sub-matrix-based cyclic shifting is performed as not only a function of sub-matrix size, but also the row and column indices, to generate CSI (Cyclic Shifted Identity) sub-matrices. When the sub-matrix size is prime (e.g., each sub-matrix being size q×q, where q is a prime number), then it is guaranteed that no four cycles will exist in the resulting bipartite graph corresponding to the LDPC code of that LDPC matrix. When q is a non-prime number, an avoidance set can be used and/or one or more sub-matrices can be made to be an all zero-valued sub-matrix.

Abstract: Single CRC polynomial for both turbo code block CRC and transport block CRC. Rather than employing multiple and different generation polynomials for generating CRC fields for different levels within a coded signal, a single CRC polynomial is employed for the various levels. Effective error correction capability is achieved with minimal hardware requirement by using a single CRC polynomial for various layers of CRC encoding. Such CRC encoding can be implemented within any of a wide variety of communication devices that may be implemented within a wide variety of communication systems (e.g., a satellite communication system, a wireless communication system, a wired communication system, and a fiber-optic communication system, etc.). In addition, a single CRC check can be employed within a receiver (or transceiver) type communication device for each of the various layers of CRC of a received signal.

Abstract: Overlapping sub-matrix based LDPC (Low Density Parity Check) decoder. Novel decoding approach is presented, by which, updated bit edge messages corresponding to a sub-matrix of an LDPC matrix are immediately employed for updating of the check edge messages corresponding to that sub-matrix without requiring storing the bit edge messages; also updated check edge messages corresponding to a sub-matrix of the LDPC matrix are immediately employed for updating of the bit edge messages corresponding to that sub-matrix without requiring storing the check edge messages. Using this approach, twice as many decoding iterations can be performed in a given time period when compared to a system that performs updating of all check edge messages for the entire LDPC matrix, then updating of all bit edge messages for the entire LDPC matrix, and so on. When performing this overlapping approach in conjunction with min-sum processing, significant memory savings can also be achieved.

Abstract: Flexible rate matching. No constraints or restrictions are placed on a sending communication device when effectuating rate matching. The receiving communication device is able to accommodate received transmissions of essentially any size (e.g., up to an entire turbo codeword that includes all systematic bits and all parity bits). The receiving communication device employs a relatively small-sized memory to ensure a lower cost, smaller sized communication device (e.g., handset or user equipment such as a personal wireless communication device). Moreover, incremental redundancy is achieved in which successive transmissions need not include repeated information therein (e.g., a second transmission need not include any repeated information from a first transmission). Only when reaching an end of a block of bits or codeword to be transmitted, and when wrap around at the end of such block of bits or codeword occurs, would any repeat of bits be incurred within a later transmission.

Abstract: Overlapping sub-matrix based LDPC (Low Density Parity Check) decoder. Novel decoding approach is presented, by which, updated bit edge messages corresponding to a sub-matrix of an LDPC matrix are immediately employed for updating of the check edge messages corresponding to that sub-matrix without requiring storing the bit edge messages; also updated check edge messages corresponding to a sub-matrix of the LDPC matrix are immediately employed for updating of the bit edge messages corresponding to that sub-matrix without requiring storing the check edge messages. Using this approach, twice as many decoding iterations can be performed in a given time period when compared to a system that performs updating of all check edge messages for the entire LDPC matrix, then updating of all bit edge messages for the entire LDPC matrix, and so on. When performing this overlapping approach in conjunction with min-sum processing, significant memory savings can also be achieved.

Abstract: Virtual limited buffer modification for rate matching. A reduced-size memory module is employed within a communication device to assist in storage of log-likelihood ratios (LLRs) employed in accordance with turbo decoding. This architecture is also applicable to other types of error correction code (ECC) besides turbo code as well. The memory size is selected to match the number of coded bits (e.g., including information bits and redundancy/parity bits) that is included within a transmission. The received signals may be various transmissions made in accordance with hybrid automatic repeat request (HARQ) transmissions. When the LLRs calculated from a first HARQ transmission is insufficient to decode, those LLRs are selectively stored in the memory module. When LLRs corresponding to a second HARQ transmission is received, LLRs corresponding to both the first HARQ transmission and the second HARQ transmission are passed from the memory module for joint use in decoding.