Abstract: Generating a remainder from a division of a first polynomial by a second polynomial having a variable width. One or more embodiments include a first sub-circuit, a first adder, a second sub-circuit, and a second adder. The first sub-circuit is adapted to generate a first partial remainder, which has a fixed width greater than or equal to the width of the second polynomial, from the first polynomial excepting a least significant portion. The first adder is adapted to generate a sum of the least significant portion of the first polynomial and a most significant portion of the first partial remainder. The second sub-circuit is adapted to generate a second partial remainder from the sum. The second adder is adapted to generate the remainder from the second partial remainder and the first partial remainder excepting the most significant portion.

Abstract: A method and apparatus for the generation of discrete power series values (PSVs) and associated PSV addresses. Repeated evaluations of a discrete power series are performed by a reduced complexity PSV generator, such that the need for multiplication operations is obviated. Each evaluation cycle performed by the reduced complexity PSV generator is modified by each primitive root of the desired discrete power series. For each PSV generated, a corresponding address is calculated to indicate the correct placement of the PSV generated.

Abstract: A method of accessing a memory of a trellis decoder. The method comprises the steps of writing a first block of data associated with a trellis function to a first memory block; writing a second block of data associated with the trellis function to a second memory block; simultaneously writing a third block of data to a third memory block and reading the second block of data from the second memory block to generate training data; and simultaneously reading data to be decoded from the first memory block and writing a fourth block of data to the first memory block and generating training data associated with the third block of data. A circuit for accessing a memory of a trellis decoder is also described.

Abstract: A method of buffering data in a circuit processing data in both a natural address order and a modified address order is described. The method comprises the steps of storing a first block of data according to a first addressing order of a natural address order or a modified address order; reading the first block of data stored in a buffer according to the other addressing order of the natural address order and the modified address order; and simultaneously writing a second block of data to the buffer in the other addressing order while reading the first block of data stored in a buffer according to the other addressing order.

Abstract: Each array in a sequence of arrays is reordered. A first port receives in a first serial order a number of values in each array in the sequence and a second port transmits the values in a different second serial order. For each value in each array in the sequence, the address generator generates an address within a range of zero through one less than the number of values in the array. For each address from the generator, the memory performs an access to a location corresponding to the address in the memory. The access for each address includes a read from the location before a write to the location. For each array in the sequence, the writes for the addresses serially write the values of the array in the first serial order and the reads for the addresses serially read the values in the second serial order.

Abstract: Generation a remainder from a division of a first polynomial by a second polynomial having a variable width. One or more embodiments include a first sub-circuit, a first adder, a second sub-circuit, and a second adder. The first sub-circuit is adapted to generate a first partial remainder, which has a fixed width greater than or equal to the width of the second polynomial, from the first polynomial excepting a least significant portion. The first adder is adapted to generate a sum of the least significant portion of the first polynomial and a most significant portion of the first partial remainder. The second sub-circuit is adapted to generate a second partial remainder from the sum. The second adder is adapted to generate the remainder from the second partial remainder and the first partial remainder excepting the most significant portion.