Abstract: Common circuitry supporting both bit node and check node processing in LDPC (Low Density Parity Check) decoder. A novel approach is presented by which a decoder may use the same circuitry to perform updating of edge messages with respect to bit nodes as well as updating of edge messages with respect to check nodes in the context of decoding LDPC coded signals. In addition, several very efficient architectures are presented to performing check node processing that involves the updating of edge messages with respect to check nodes. One embodiment performs check node processing using min** (min-double-star) processing in conjunction with min**? (min-double-star-minus) processing. Another embodiment performs check node processing using min†† (min-double-dagger) processing in conjunction with min†? (min-dagger-minus) processing. In addition, a single FIFO may be implemented to service a number of macro blocks in a parallel decoding implementation.

Abstract: Variable modulation within combined LDPC (Low Density Parity Check) coding and modulation coding systems. A novel approach is presented for variable modulation encoding of LDPC coded symbols. In addition, LDPC encoding, that generates an LDPC variable code rate signal, may also be performed as well. The encoding can generate an LDPC variable code rate and/or modulation signal whose code rate and/or modulation may vary as frequently as on a symbol by symbol basis. Some embodiments employ a common constellation shape for all of the symbols of the signal sequence, yet individual symbols may be mapped according different mappings of the commonly shaped constellation; such an embodiment may be viewed as generating a LDPC variable mapped signal. In general, any one or more of the code rate, constellation shape, or mapping of the individual symbols of a signal sequence may vary as frequently as on a symbol by symbol basis.

Abstract: 16 QAM (Quadrature Amplitude Modulation) and 16 APSK (Asymmetric Phase Shift Keying) TTCM (Turbo Trellis Coded Modulation) with minimum bandwidth of 3 bit/s/Hz (bits per second per Hertz) using a rate 2/4 constituent encoder. Various encoder designs are presented that are operable to generate a signal whose modulation may vary as frequently as on a symbol by symbol basis while providing relatively very high throughput. Rate control sequences including RCs (Rate Controls), arranged in a period, govern the manner in which symbols of a signal are generated. The RCs correspond to various modulations that may each have a unique constellation and corresponding mapping. Different RCs may be included within a rate control sequence that correspond to 16 QAM, 16 APSK, QPSK (Quadrature Phase Shift Key), or even other modulation types. In addition, 1 or more uncoded bits may be used to generate the symbols of the coded signal.

Abstract: Multi-dimensional space Gray code maps for multi-dimensional phase modulation as applied to LDPC (Low Density Parity Check) coded modulation. A novel approach is provided within LDPC coded modulation communication systems that employ multi-dimensional phase modulation, using m-D (multi-dimensional) Gray code maps, to provide for improved performance when compared to communication systems employing 1-D (single-dimensional) Gray code maps. This approach can generate all possible m-D Gray code maps for a 2m-D M PSK modulation system. For example, all of the 2-D Gray code maps may be generated for a communication system using 4-D 8 PSK modulation system (where m=2, and M=8). A variety decoding processing approaches may be employed to perform LDPC coded modulation decoding of multi-dimensional space Gray code mapped signals. The slightly increased decoding complexity (when compared to decoding 1-D Gray code mapped signals) is the computation of symbol metrics and their decomposition to bit metrics.

Abstract: LDPC (Low Density Parity Check) coded modulation symbol decoding. Symbol decoding is supported by appropriately modifying an LDPC tripartite graph to eliminate the bit nodes thereby generating an LDPC bipartite graph (such that symbol nodes are appropriately mapped directly to check nodes thereby obviating the bit nodes). The edges that communicatively couple the symbol nodes to the check nodes are labeled appropriately to support symbol decoding of the LDPC coded modulation signal. The iterative decoding processing may involve updating the check nodes as well as estimating the symbol sequence and updating the symbol nodes. In some embodiments, an alternative hybrid decoding approach may be performed such that a combination of bit level and symbol level decoding is performed. This LDPC symbol decoding out-performs bit decoding only. In addition, it provides comparable or better performance of bit decoding involving iterative updating of the associated metrics.

Abstract: LDPC (Low Density Parity Check) coded modulation symbol decoding using non-Gray code maps for improved performance. Symbol decoding is supported by appropriately modifying an LDPC tripartite graph to eliminate the bit nodes thereby generating an LDPC bipartite graph (such that symbol nodes are appropriately mapped directly to check nodes thereby obviating the bit nodes). The edges that communicatively couple the symbol nodes to the check nodes are labeled appropriately to support symbol decoding of the LDPC coded modulation signal. In addition, the LDPC coded modulation symbol decoding can be employed to decode a signal that has been encoded using LDPC-BICM (Low Density Parity Check-Bit Interleaved Coded Modulation) encoding with non-Gray code mapping. By using the non-Gray code mapping, a performance improvement over such a system using only Gray code mapping may be achieved.

Abstract: LDPC (Low Density Parity Check) coded modulation hybrid decoding using non-Gray code maps for improved performance. Check node updating and symbol node updating are successively and alternatively performed on bit edge messages for a predetermined number of decoding iterations or until sufficient degree of precision is achieved. The symbol node updating of the bit edge messages uses symbol metrics corresponding to the symbol being decoded and the bit edge messages most recently updated by check node updating. The check node updating of the bit edge messages uses the bit edge messages most recently updated by symbol node updating. The symbol node updating computes possible soft symbol estimates. LDPC coded modulation hybrid decoding can decode an LDPC-BICM (Low Density Parity Check-Bit Interleaved Coded Modulation) signal having a symbol mapped using non-Gray code mapping. By using the non-Gray code mapping, a performance improvement is achieved over an only Gray code mapping system.

Abstract: Iterative metric updating when decoding LDPC (Low Density Parity Check) coded signals and LDPC coded modulation signals. A novel approach is presented for updating the bit metrics employed when performing iterative decoding of LDPC coded signals. This bit metric updating is also applicable to decoding of signals that have been generated using combined LDPC coding and modulation encoding to generate LDPC coded modulation signals. In addition, the bit metric updating is also extendible to decoding of LDPC variable code rate and/or variable modulation signals whose code rate and/or modulation may vary as frequently as on a symbol by symbol basis. By ensuring that the bit metrics are updated during the various iterations of the iterative decoding processing, a higher performance can be achieved than when the bit metrics remain as fixed values during the iterative decoding processing.

Abstract: Variable modulation within combined LDPC (Low Density Parity Check) coding and modulation coding systems. A novel approach is presented for variable modulation encoding of LDPC coded symbols. In addition, LDPC encoding, that generates an LDPC variable code rate signal, may also be performed as well. The encoding can generate an LDPC variable code rate and/or modulation signal whose code rate and/or modulation may vary as frequently as on a symbol by symbol basis. Some embodiments employ a common constellation shape for all of the symbols of the signal sequence, yet individual symbols may be mapped according different mappings of the commonly shaped constellation; such an embodiment may be viewed as generating a LDPC variable mapped signal. In general, any one or more of the code rate, constellation shape, or mapping of the individual symbols of a signal sequence may vary as frequently as on a symbol by symbol basis.

Abstract: Decoder design adaptable to decode coded signals using min* or max* processing. A very efficient means of min* processing or max* processing may be performed within a communication device to assist in the very complex and cumbersome calculations that are employed when decoding coded signals. The types of coded signals that may be decoded using min* processing or max* processing are varied, and they include LDPC (Low Density Parity Check) coded signals, turbo coded signals, and TTCM (Turbo Trellis Coded Modulation) coded signals, among other coded signal types. Many of the calculations and/or determinations performed within min* processing or max* processing are performed simultaneously and in parallel of one another thereby ensuring very fast operation. In a finite precision digital implementation, when certain calculated bits of min* or max* processing are available, they govern selection of resultants from among multiple calculations and determinations made simultaneously and in parallel.

Abstract: Non-systematic and non-linear PC-TCM (Parallel Concatenate Trellis Coded Modulation). A non-systematic and non-linear PC-TCM code is presented that provides quite comparable performance to turbo encoding using only systematic and linear trellis codes (e.g., convolutional codes). The non-systematic and non-linear PC-TCM described herein may be modified to support a wide variety of code rates (e.g., rate 2/3, 5/6, 8/9, and 3/4 among other rates) and also a wide modulation types (e.g., 8 PSK (8 Phase Shift Key) and 16 QAM (16 Quadrature Amplitude Modulation) among other modulation types). In one embodiment, a non-systematic and non-linear PC-TCM presented herein comes to within approximately 0.15 dB of a systematic and linear turbo code. A design approach is presented that allows for the design of such non-systematic and non-linear PC-TCM codes and several exemplary embodiments are also presented that have been designed according to these presented principles.

Abstract: A method for parallel concatenated (Turbo) encoding and decoding. Turbo encoders receive a sequence of input data tuples and encode them. The input sequence may correspond to a sequence of an original data source, or to an already coded data sequence such as provided by a Reed-Soloman encoder. A turbo encoder generally comprises two or more encoders separated by one or more interleavers. The input data tuples may be interleaved using a modulo scheme in which the interleaving is according to some method (such as block or random interleaving) with the added stipulation that the input tuples may be interleaved only to interleaved positions having the same modulo-N (where N is an integer) as they have in the input data sequence. If all the input tuples are encoded by all encoders then output tuples can be chosen sequentially from the encoders and no tuples will be missed.

Abstract: Single stage implementation of min*, max*, min and/or max to perform state metric calculation in soft-in soft-out (SISO) decoder. This allows for calculation of state metrics in an extremely efficient, fast manner. When performing min or max calculations, comparisons are made using 2 element combinations of the available inputs. Subsequently, logic circuitry employs the results of the 2 element comparisons the smallest (min) or largest (max) input. The max or min implementations may be employed as part of the max* and/or min* implementations. For max* and/or min* implementations, simultaneous calculation of appropriate values is performed while determining which input is the smallest or largest. Thereafter, the determination of which input is the smallest or largest is used to select the appropriate resultant value (of the values calculated) for max* and/or min*. Various degrees of precision are employed for the log correction values within the max* and/or min* implementations.

Abstract: Low Density Parity Check (LDPC) code decoder using min*, min**, max* or max** and their respective inverses. For the first time, min* processing is demonstrated for use in decoding LDPC-coded signals. In addition, max*, min**, or max** (and their respective inverses) may also be employed when performing calculations that are required to perform decoding of signals coded using LDPC code. These new parameters may be employed to provide for much improved decoding processing for LDPC codes when that decoding involves the determination of a minimal and/or maximal value, or a minimal and/or maximal log corrected value, from among a number of possible values. The total number of processing steps employed within the decoding of an LDPC-coded signal is significantly reduced be employing the min*, max*, min**, or max** (and their respective inverses) decoding processing described herein.

Abstract: True bit level decoding of TTCM (Turbo Trellis Coded Modulation) of variable rates and signal constellations. A decoding approach is presented that allows for decoding on a bit level basis that allows for discrimination of the individual bits of a symbol. Whereas prior art approaches typically perform decoding on a symbol level basis, this decoding approach allows for an improved approach in which the hard decisions/best estimates may be made individually for each of the individual bits of an information symbol. In addition, the decoding approach allows for a reduction in the total number of calculations that need to be performed as well as the total number of values that need to be stored during the iterative decoding. The bit level decoding approach is also able to decode a signal whose code rate and/or signal constellation type (and mapping) may vary on a symbol by symbol basis.

Abstract: Metric calculation design for variable code rate decoding of broadband trellis, TCM (trellis coded modulated), or TTCM (turbo trellis coded modulation). A single design can accommodate a large number of code rates by multiplexing the appropriate paths within the design. By controlling where to scale for any noise of a received symbol within a received signal, this adaptable design may be implemented in a manner that is much more efficient in terms of performance, processing requirements (such as multipliers and gates), as well as real estate consumption when compared to prior art approaches. In supporting multiple code rates, appropriately selection of the coefficients of the various constellations employed, using the inherent redundancy and symmetry along the I and Q axes, can result in great savings of gates borrowing upon the inherent redundancy contained therein; in addition, no subtraction (but only summing) need be performed when capitalizing on this symmetry.

Abstract: Efficient design to calculate extrinsic information for Soft-In-Soft-Out (SISO) decoder. A design provides for very efficient performing extrinsic value calculation when performing iterative decoding. The design also accommodates a variety of rate controls each having varying bandwidth efficiencies. By grouping and capitalizing on the commonality of many of the intermediate terms that are employed when calculating the extrinsic values needed to perform iterative decoding, a great saving in terms of hardware may be achieved. In addition, this also provides a great deal of improvement in terms of operational speed and overall decoder system efficiency. The design is also adaptable to assist in performing decoding input symbols having multiple bits; a single design may be employed to accommodate different input symbols that have different numbers of bits. The extrinsic calculation employs min* processing in one embodiment; however, the design may also be performed using max*, min, or max processing.

Abstract: Variable code rate and signal constellation turbo trellis coded modulation (TTCM) codec. A common trellis is employed at both ends of a communication system (in an encoder and decoder) to code and decode data at different rates. The encoding employs a single TTCM encoder whose output bits may be selectively punctured to support multiple modulations (constellations and mappings) according to a rate control sequence. A single TTCM decoder is operable to decode each of the various rates at which the data is encoded by the TTCM encoder. The rate control sequence may include a number of rate controls arranged in a period that is repeated during encoding and decoding. Either one or both of the encoder and decoder may adaptively select a new rate control sequence based on operating conditions of the communication system, such as a change in signal to noise ratio (SNR).

Abstract: A method of providing time tracking between a first signal and a second signal in a communication device. In one embodiment, a first signal is generated by the communication device and a second signal is received from an outside source. Then correlation data between a first signal, at a plurality of timing conditions, and a second signal is generated by hardware. Next, the correlation data is filtered by software or firmware at a plurality of timing conditions. Afterward, the correlation data is compared to a threshold value to evaluate accuracy of a system timing for the first signal to obtain a result. Finally, the system timing for the first signal is corrected based upon said result of the comparing step.

Abstract: An integrated circuit device including a FIFO and a clock generator having a pulse swallower. The pulse swallower eliminates pulses from a reference frequency signal, producing a primary digital transceiver clock signal having a frequency of chiprate(S)(n), which is used to clock a digital transceiver when the device is in a primary mode. A first clock divider divides the frequency of the primary digital transceiver clock signal to produce a FIFO output clock signal having a frequency of chiprate(S). The FIFO has a data bus input for coupling to a data output, for example from an analog transceiver. The FIFO also has an external clock input for coupling to a clock output, for example from the analog transceiver. The external clock signal clocks the data into the FIFO asynchronous with the primary digital transceiver clock signal at a frequency of chiprate(S). The internal clock signal clocks the data out of the FIFO, synchronous with the primary digital transceiver clock signal at a frequency of chiprate(S).