摘要:
In an Euclid's algorithm that obtains an error-locator-polynomial, by performing Galois-field operations, from the syndrome equation S ( z ) = s k -1 z k -1 + s k -2 z k -2 + . . . + s 0 , a second invention performs initial setting as M ( z ) = 1, B ( z ) = s k -1 z k -1 + s k -2 z k -2 + . . . + s 0 , and, depending on the coefficients of the syndrome equation S(z), as A ( z ) = s k -2 z k -1 + s k -3 z k -2 + . . . + s 0 z , L ( z ) = z , to reduce the number of Galois-field operations.
摘要:
A syndrome calculation unit 101 forming a first pipeline stage, a Euclidean algorithm arithmetic operation/error value calculation unit 102 and a Chien search unit 103 together forming a second pipeline stage, and an error correction unit 105 forming a third pipeline stage are provided. The unit 102 implements, by iterative use of a single inverse element calculator, a single Galois multiplier, and a single Galois adder, the Euclidean algorithm arithmetic operation of finding an error locator polynomial σ(z) and an error evaluator polynomial ω(z) from a syndrome polynomial S(z) and the calculation of finding an error value e by dividing an error evaluation value ω(α -ju ) by an error locator polynomial differential value σ'(α -ju ).
摘要:
Disclosed is a nickel positive electrode for alkaline storage batteries with superb utilization of nickel hydroxide in an atmosphere from room temperature to high temperature. The positive electrode comprises a nickel hydroxide particle or a nickel hydroxide particle with one or more elements other than Ni incorporated therein, a coating layer which comprises a compound of cobalt having a mean valence over 2 and which coats the nickel hydroxide particle, and a compound of at least one element selected from the group consisting of Ca, Sr, Ba, Cu, Ag, Cd, Y, Yb, Ce, Sm, Gd and Er.
摘要:
A syndrome calculation unit 101 forming a first pipeline stage, a Euclidean algorithm arithmetic operation/error value calculation unit 102 and a Chien search unit 103 together forming a second pipeline stage, and an error correction unit 105 forming a third pipeline stage are provided. The unit 102 implements, by iterative use of a single inverse element calculator, a single Galois multiplier, and a single Galois adder, the Euclidean algorithm arithmetic operation of finding an error locator polynomial σ(z) and an error evaluator polynomial ω(z) from a syndrome polynomial S(z) and the calculation of finding an error value e by dividing an error evaluation value ω(α -ju ) by an error locator polynomial differential value σ'(α -ju ).
摘要:
A viterbi decoder for decoding a convolutional coded sequence transmitted from an encoder via a channel, wherein a plurality of paths representing a possible pre-coding data sequence and a path metric representing a likelihood of each path are calculated through a metric operation, and one of the plurality of paths is decided to be a decoding result through maximum likelihood decision based on the path metric, the viterbi decoder comprising: a metric converting unit for converting a value of the path metric to output a state metric, the value being converted into k when the value is more than k, where k is a predetermined integer within a range for the path metric, and left intact when the value is equal to or less than k; and a maximum likelihood deciding unit for deciding a minimum state metric using a path corresponding to the minimum state metric. The path metric is represented by m bits for each path, where m is an integer; and k is 2 m-n -1, where n is an integer in a range from one to m-1 inclusive; the metric converting unit includes a plurality of metric converting circuits provided for the plurality of paths, respectively, each comprising m-n (n+1)-input OR gates that calculate OR's of upper n bits of a corresponding path metric and each lower bit to output (m-n)-bit state metric, whereby the maximum likelihood deciding unit decides the minimum state metric using the same.
摘要:
A Eucliedan algorithm arithmetic operation system for finding an error locator polynomial σ(z) and an error evaluator polynomial ω(z) from a syndrome polynomial S(z) relative to a t-multiple error correcting Reed-Solomon code, where t is any positive integer, the system comprising: a data storage unit (1)
for storing signals representing the syndrome polynomial S(z) and feedback signals representing an intermediate result of a Euclidean algorithm arithmetic operation and for providing signals representing the error locator polynomical σ(z) and signals representing the error evaluator polynomial ω(z), an arithmetic unit (2) for generating the feedback signals from the signals stored in the data storage unit (1), and a control unit (3) for controlling the data storage unit (1) and the arithmetic unit (2).
摘要:
The present invention provides a high performance composite hydroxide active material which facilitates charging at high temperatures. It comprises a solid solution nickel hydroxide material having additive elements incorporated therein. The additive elements comprise at least one element selected from Fe, Cr, V, Ti, Y, La, Ce, Al, and Pb, and at least one element selected from Mn and Co.
摘要:
In an Euclid's algorithm that obtains an error-locator-polynomial, by performing Galois-field operations, from the syndrome equation S(z) = s k-1 z k-1 + s k-2 z k-2 + ... + S 0 the invention performs initial settings as M(z) = 1, B(z) = s k-1 z k-1 + s k-2 z k-2 + ... + S 0 and, depending on the coefficients of the syndrome equation (S (z) , as A(z) = s k-2 z k-1 + s k-3 z k-2 + ... + S 0 z L(z) = z when s k-1 ≠ 0, and as A(z) = s n-2 z k-1 + s n-3 z k-2 + ... + S 0 z k-n+1 L(z) = z k-n+1 when s k-1 = 0, ..., s n = 0 and s n-1 ≠ 0, to reduce the number of Galois-field operations.