Abstract: A method of interleaving blocks of indexed data of varying lengths is disclosed. The method includes the steps of: providing a set of basic Interleavers comprising a family of one or more permutations of the indexed data and having a variable length; selecting one of the basic Interleavers based upon a desired Interleaver length L; and adapting the selected basic Interleaver to produce an Interleaver having the desired Interleaver length L.

Abstract: The present invention provides a low density parity check (LDPC) code system and method of using such a system. A transmitted LDPC code block size may be chosen such that the minimum transmitted block size is minimized. Further, the system provides for intermediate LDPC code block size support. Finally, a common decoder architecture may be used to decode different LDPC code rates and block sizes.

Abstract: A spread scrambled multiple access (SSCMA) scheme is described. A first encoded bit stream of a first terminal is scrambled according to a first scrambling signature. A second encoded bit stream of a second terminal is scrambled according to a second scrambling signature. The first scrambled bit stream is spread to match a communication channel bandwidth. The second scrambled bit stream is spread to match the communication channel bandwidth.

Abstract: Method and apparatus for implementing LDPC codes in an IEEE 802.11 standard system configured to operate in a Multiple-Input, Multiple-Output (MIMO) schema. A method in accordance with the present invention comprises defining a base LDPC code, having a length equal to an integer number of data carriers in an ODFM symbol, transmitting the base LDPC code over a plurality of sub-carriers, wherein the base code is transmitted at an expected phase on sub-carriers specified by the IEEE 802.11 standard system, and transmitting the base LDPC code on other sub-carriers than those specified by the IEEE 802.11 standard system, wherein the base LDPC code on the other sub-carriers is transmit offset in phase from the base LDPC code on the specified sub-carriers.

Abstract: An approach is provided for decoding a low density parity check (LDPC) coded signal. Edge values associated with a structured parity check matrix used to generate the LDPC coded signal are retrieved from memory. The edge values specify the relationship of bit nodes and check nodes, and are stored within memory according to a predetermined scheme that permits concurrent retrieval of a set of the edge values. A decoded signal corresponding to the LDPC coded signal is output based on the retrieved edge values.

Abstract: A parameterized interleaver design process is provided, which optimizes the design for interleavers of any size, and can be completely specified using only a few design parameters. According to the parameterized interleaver design process an interleaver ?(i) of a length N is generated. A number of subpermutation masks are defined, and a first intermediate interleaver permutation is partitioned into a number of subgroups, wherein the number of subgroups corresponds with the number of subpermutation masks. Each of the subgroups of the first intermediate interleaver permutation is partitioned into a number of further subgroups, and each of the subpermutation masks is applied to each of the further subgroups of a corresponding subgroup of the first intermediate interleaver permutation, resulting in a corresponding portion of a second intermediate interleaver permutation. The resulting interleaver ?(i) is generated based at least in part on the first and second intermediate interleaver permutations.

Abstract: A parameterized interleaver design process is provided, which optimizes the design for interleavers of any size, and can be completely specified using only a few design parameters. According to the parameterized interleaver design process an interleaver ?(i) of a length N is generated. A number of subpermutation masks are defined, and a first intermediate interleaver permutation is partitioned into a number of subgroups, wherein the number of subgroups corresponds with the number of subpermutation masks. Each of the subgroups of the first intermediate interleaver permutation is partitioned into a number of further subgroups, and each of the subpermutation masks is applied to each of the further subgroups of a corresponding subgroup of the first intermediate interleaver permutation, resulting in a corresponding portion of a second intermediate interleaver permutation. The resulting interleaver ?(i) is generated based at least in part on the first and second intermediate interleaver permutations.

Abstract: A method and apparatus for Turbo encoding uses a set of rate-compatible Turbo Codes optimized at high code rates and derived from a universal constituent code. The Turbo Codes have rate-compatible puncturing patterns. The method comprises: encoding a signal at a first and second encoder using a best rate ½ constituent code universal with higher code rates, the first encoder and the second encoder each producing a respective plurality of parity bits for each information bit; puncturing the respective plurality of parity bits at each encoder with a higher rate best puncturing patterns; and puncturing the respective plurality of parity bits at each encoder with a lower rate best puncturing pattern. In a variation, the best rate ½ constituent code represents a concatenated of polynomials 1+D2+D3 (octal 13) and 1+D+D3 (octal 15), D a data bit. A Turbo Encoder is provided which has hardware to implement the method.

Abstract: A system and method for data transmissions in a wireless communications system, which accommodates for a periodic blockage of the transmission signal, is provided. A data stream is segmented into packets of a predetermined fixed-size for a burst-mode transmission over a channel of the communications system, wherein the transmission is subject to a periodic blockage. A forward error correction outer code is then applied to the packets of the data stream for recovery of packets subjected to the periodic blockage, and a unique word is added to each packet for acquisition of frequency, carrier phase and symbol timing of the respective packet. The packets of the data stream are interleaved based on an interleaver of a depth based at least in part on a ratio of a blockage free duration between two consecutive blockages of the periodic blockage to a duration of each blockage of the periodic blockage.

Abstract: A parameterized interleaver design process is provided, which optimizes the design for interleavers of any size, and can be completely specified using only a few design parameters. According to the parameterized interleaver design process an interleaver ?(i) of a length N is generated. A number of subpermutation masks are defined, and a first intermediate interleaver permutation is partitioned into a number of subgroups, wherein the number of subgroups corresponds with the number of subpermutation masks. Each of the subgroups of the first intermediate interleaver permutation is partitioned into a number of further subgroups, and each of the subpermutation masks is applied to each of the further subgroups of a corresponding subgroup of the first intermediate interleaver permutation, resulting in a corresponding portion of a second intermediate interleaver permutation. The resulting interleaver ?(i) is generated based at least in part on the first and second intermediate interleaver permutations.

Abstract: A method and apparatus for Turbo encoding uses a set of rate-compatible Turbo Codes optimized at high code rates and derived from a universal constituent code. The Turbo Codes have rate-compatible puncturing patterns. The method comprises: encoding a signal at a first and second encoder using a best rate 1/2 constituent code universal with higher code rates, the first encoder and the second encoder each producing a respective plurality of parity bits for each information bit; puncturing the respective plurality of parity bits at each encoder with a higher rate best puncturing patterns; and puncturing the respective plurality of parity bits at each encoder with a lower rate best puncturing pattern. In a variation, the best rate 1/2 constituent code represents a concatenation of polynomials 1+D2+D3 (octal 13) and 1+D+D3 (octal 15), D a data bit. A Turbo Encoder is provided which has hardware to implement the method.

Abstract: An approach for reliably communicating over a satellite in support of a communication service including, for example, as direct broadcast satellite and data service, is disclosed. An input message is encoded, yielding a structured Low Density Parity Check (LDPC) coded message. The coded message is modulated according to a high order modulation scheme that has a signal constellation representing more than two symbols per signaling point—e.g., 8-PSK (Phase Shift Keying) and 16-QAM (Quadrature Amplitude Modulation). The system includes a transmitter configured to propagate the modulated signal over the satellite. The above approach is particularly applicable to bandwidth constrained communication systems requiring high data rates.

Abstract: Methods, systems and software are provided for high order signal modulation based on improved signal constellation and bit labeling designs for enhanced performance characteristics, including decreased power consumption. According to the improved signal constellation and bit labeling designs for enhanced performance characteristics, designs for 8-ary, 16-ary, 32-ary and 64-ary signal constellations are provided. According to an 8-ary constellation, improved bit labeling and bit coordinates are provided for a 1+7APSK signal constellation. According to a 16-ary constellation, improved bit labeling and bit coordinates are provided for a 6+10APSK signal constellation. According to three 32-ary constellations, improved bit labeling and bit coordinates are provided for a 16+16APSK signal constellation and two 4+12+16APSK signal constellations.

Abstract: A method of terminating two or more constituent encoders of a turbo encoder employing a turbo code, comprising the steps of: generating tail input bits at each of two or more constituent encoders, including deriving the tail input bits from each of the two or more constituent encoders separately from a contents of shift registers within each of the two or more constituent encoders, after an encoding of information bits by the two or more constituent encoders; puncturing one or more tail output bits such that 1/R output tail bits are transmitted for each of a plurality of trellis branches, wherein R is a turbo code rate employed by the turbo encoder during an information bit transmission. In yet another variation, the step of puncturing the tail output bits further comprises the step of: transmitting, during trellis termination, the tail output bits, only if they are sent from an output branch of one of the two or more constituent encoders that are used during information bit transmission.

Abstract: An approach is provided for processing structure Low Density Parity Check (LDPC) codes. Memory storing edge information and a posteriori probability information associated with a structured parity check matrix used to generate Low Density Parity Check (LDPC) coded signal are accessed. The edge information represent relationship between bit nodes and check nodes, and are stored according to a predetermined scheme that permits concurrent retrieval of a set of the edge information.

Abstract: Methods include configuring M parallel accumulation engines, accumulating a first information bit at a first set of specific parity bit addresses using the accumulation engines, increasing a parity bit address for each member of the first set of specific parity bit addresses by a pre-determined offset for each new information bit, accumulating subsequent information bits at parity bit addresses that are offset from the specific parity bit addresses by a pre-determined offset until an M+1 information bit is reached, accumulating the next M information bits at a second set of specific parity bit addresses using the accumulation engines, increasing a parity bit address for each member of the second set of specific parity bit addresses by the pre-determined offset for each new information bit; and repeating accumulating and increasing the addresses until the information bits are exhausted. Related systems are described.

Abstract: An approach is providing for supporting broadcast transmission of low density parity check (LDPC) coded signals. A receiver includes a decoder configured to decode an LDPC signal to output a decoded signal. The decoder is further configured to operate as an encoder; as such, interference cancellation can be implemented by the encoder re-encoded the received decoded signal. The above approach has particular applicability to satellite broadcast systems.

Abstract: A method of interleaving blocks of indexed data of varying length is disclosed. The method includes the steps of: providing a set of basic Interleavers comprising a family of one or more permutations of the indexed data and having a variable length; selecting one of the basic Interleavers based upon a desired Interleaver length L; and adapting the selected basic Interleaver to produce an Interleaver having the desired Interleaver length L.

Abstract: An approach is provided for decoding a low density parity check (LDPC) coded signal. Edge values associated with a structured parity check matrix used to generate the LDPC coded signal are retrieved from memory. The edge values specify the relationship of bit nodes and check nodes, and are stored within memory according to a predetermined scheme that permits concurrent retrieval of a set of the edge values. A decoded signal corresponding to the LDPC coded signal is output based on the retrieved edge values.

Abstract: A method of terminating two or more constituent encoders of a turbo encoder employing a turbo code, comprising the steps of: generating tail input bits at each of two or more constituent encoders, including deriving the tail input bits from each of the two or more constituent encoders separately from a contents of shift registers within each of the two or more constituent encoders, after an encoding of information bits by the two or more constituent encoders; puncturing one or more tail output bits such that 1/R output tail bits are transmitted for each of a plurality of trellis branches, wherein R is a turbo code rate employed by the turbo encoder during an information bit transmission. In yet another variation, the step of puncturing the tail output bits further comprises the step of: transmitting, during trellis termination, the tail output bits, only if they are sent from an output branch of one of the two or more constituent encoders that are used during information bit transmission.