Abstract: A system and method of decoding a Reed-Solomon code using a Reed-Solomon decoder comprising an erasure location selector, multiple syndrome formers and multiple Berlekamp-Massey decoders that share a single error correction unit, and means for selecting a Berlekamp-Massey decoder output as the input to the error correction unit. The method improves the bit error rate performance of the Reed-Solomon decoder compared to known hard-decision and soft-decision Reed-Solomon decoders. The Reed-Solomon decoder also provides hardware area and power savings over more complex Reed-Solomon decoders.

Abstract: Apparatus and methods provide relatively low uncorrectable bit error rates, low write amplification, long life, fast and efficient retrieval, and efficient storage density such that a solid-state drive (SSD) can be reliably implemented using various types of memory cells, including relatively inexpensive multi-level cell flash. One embodiment intelligently coordinates remapping of bad blocks with error correction code control, which eliminates the tables used to avoid bad blocks.

Abstract: Apparatus and methods provide relatively low uncorrectable bit error rates, low write amplification, long life, fast and efficient retrieval, and efficient storage density such that a solid-state drive (SSD) can be reliably implemented using various types of memory cells, including relatively inexpensive multi-level cell flash. One embodiment intelligently coordinates remapping of bad blocks with error correction code control, which eliminates the tables used to avoid bad blocks.

Abstract: Apparatus and methods provide relatively low uncorrectable bit error rates, low write amplification, long life, fast and efficient retrieval, and efficient storage density such that a solid-state drive (SSD) can be reliably implemented using various types of memory cells, including relatively inexpensive multi-level cell flash. One embodiment intelligently coordinates remapping of bad blocks with error correction code control, which eliminates the tables used to avoid bad blocks.

Abstract: Apparatus and methods provide relatively low uncorrectable bit error rates, low write amplification, long life, fast and efficient retrieval, and efficient storage density such that a solid-state drive (SSD) can be reliably implemented using various types of memory cells, including relatively inexpensive multi-level cell flash. One embodiment intelligently coordinates remapping of bad blocks with error correction code control, which eliminates the tables used to avoid bad blocks.

Abstract: Methods and apparatus are described for determining, via a Hybrid Automatic Repeat Request (HARQ) module, that a maximum number of retransmissions has been reached for a HARQ packet. The HARQ module may communicate an internal NACK to a message retransmission module indicating a transmission failure. The message retransmission module may retransmit at least a part of the message. The retransmission may be performed prior to the expiration of a timer.

Abstract: A circuit for reducing phase errors in a digital communication systems signal is provided. The circuit comprises a demodulator block, a feed-forward path, a feed-back path, and a slicer. The demodulator block generates a plurality of samples from the signal and determines for each sample a corresponding phase error. The feed-forward path is configured to reduce in the signal a high frequency component of the phase errors. The feed-back path configured to reduce in the signal a low frequency component of the phase errors. The slicer selectively forwards phase errors to the feed-forward path or the feed-back path based on a respective magnitude of the phase error when operating in a decision-directed mode.

Abstract: Methods and apparatus are described for determining, via a Hybrid Automatic Repeat Request (HARQ) module, that a maximum number of retransmissions has been reached for a HARQ packet. The HARQ module may communicate an internal NACK to a message retransmission module indicating a transmission failure. The message retransmission module may retransmit at least a part of the message. The retransmission may be performed prior to the expiration of a timer.

Abstract: Methods and apparatus are described for determining, via a Hybrid Automatic Repeat Request (HARQ) module, that a maximum number of retransmissions has been reached for a HARQ packet. The HARQ module may communicate an internal NACK to a message retransmission module indicating a transmission failure. The message retransmission module may retransmit at least a part of the message. The retransmission may be performed prior to the expiration of a timer.

Abstract: Methods and apparatus are described for determining, via a Hybrid Automatic Repeat Request (HARQ) module, that a maximum number of retransmissions has been reached for a HARQ packet. The HARQ module may communicate an internal NACK to a message retransmission module indicating a transmission failure. The message retransmission module may retransmit at least a part of the message. The retransmission may be performed prior to the expiration of a timer.

Abstract: In an aspect, in general, a forward error correction algorithm (FEC) utilizes an FEC block structure in a manner that extends the effective error correction such that it can approach an “infinite” length to obtain benefits typical of very large FEC block size without the commensurate computation cost.

Abstract: A mechanism is provided to allow an HARQ retransmission to more closely match the receiver's need for energy with the additional energy sent over the wireless link. In one aspect, the receiver sends the transmitter qualitative feedback which indicates to the transmitter an approximate amount of additional energy that the receiver needs to successfully decode the transmission.

Abstract: In an aspect, in general, a forward error correction algorithm (FEC) utilizes an FEC block structure in a manner that extends the effective error correction such that it can approach an “infinite” length to obtain benefits typical of very large FEC block size without the commensurate computation cost.

Abstract: A mechanism is provided to allow an HARQ retransmission to more closely match the receiver's need for energy with the additional energy sent over the wireless link. In one aspect, the receiver sends the transmitter qualitative feedback which indicates to the transmitter an approximate amount of additional energy that the receiver needs to successfully decode the transmission.

Abstract: An interleaver for use with transform processors provides an address generator allowing for implementation using a reduced memory foot print, and permitting interleaving of an input sequence while minimizing latency.

Abstract: An FFT processor using a single delay path and a permuter provides a reduction in the implementation area and a related reduction in power consumption through efficiencies obtained by the modification of a butterfly unit and the use of a novel interleaver. The modified butterfly unit is obtained by removal of complex variable multipliers, which is possible due to the simplification of twiddle factors in the stages that correspond to the modified butterfly unit.

Abstract: A single-path delay feedback pipelined fast Fourier transform processor comprising at least one set of triplet FFT stage means: a first FFT stage means comprising a radix-2 butterfly, a feedback memory, and a multiplication by unity; a second FFT stage means comprising a trivial coefficient pre-multiplication, a radix-2 butterfly, a feedback memory, and a multiplication by selectable unity or WNN/8; and a third FFT stage means comprising a trivial coefficient pre-multiplication, a butterfly, a feedback memory, and a complex twiddle coefficient multiplication with coefficients determined using a twiddle factor decomposition technique.