摘要:
A reconfigurable input Galois field linear transformer system includes a Galois field linear transformer including a matrix of cells; a plurality of storage planes for storing control patterns representing a number of different functions; a storage plane selector circuit for selecting a storage plane representing a function for enabling the cells of the matrix which defines that function; and a reconfigurable input circuit for delivering input data to the enabled cells to apply that function to the input data.
摘要:
Finite field elements from the field GF(2k) are represented as polynomials with binary valued coefficients. As such, multiplication in the field is defined modulo an irreducible polynomial of degree knull1. One of the multiplicands is treated in blocks of polynomials of degree nnull1 so that the multiplier operates over T cycles where knullnT. If k is not a composite number to start with, higher order terms are added, so that multipliers are now constructable even when k is prime. Since n
摘要:
A circuit for computing the inner of scalar product of two vectors in a finite Galois field defined by a generator polynomial, wherein each vector includes at least two elements belonging to said finite field, comprises one or more look-up tables storing digital words indicative of said possible combinations and said possible reductions. The digital words in question are defined as a function of the second elements of said vectors and the generator polynomial of the field. The input register(s) and the look-up table(s) are configured to co-operate in a plurality of subsequent steps to generate at each step a partial product result identified by at least one of digital word addressed in a corresponding look-up table as a function of the digital signals stored in the input register(s). The circuit also includes an accumulator unit for adding up the partial results generated at each step to give a final product result deriving from accumulation of said partial results.
摘要:
A method for calculating the mask for an arbitrary delay of a pseudo-noise sequence uses only XOR operations on previously calculated masks. A method for calculating the mask for an arbitrary delay of a pseudo-noise sequence whose shift register polynomial is of order R uses no more than NOP operations where NOP is independent of the delay and NOP is on the order of R.
摘要:
A practical Galois field arithmetic processor capable of high-speed operation with a simple configuration is disclosed. The processor comprises an instruction decoder, an arithmetic unit including a Galois field vector adder, a Galois field vector multiplier and a Galois exponent adder-subtractor for executing the Galois field arithmetic operation on first and second operands. In the case where the arithmetic unit includes at least a Galois field vector adder and a Galois field vector multiplier, an exponent-vector conversion circuit is provided for converting the second operand from an exponential expression into a vectorial expression, and an instruction is provided for performing the Galois field operation on the vectorially expressed first operand and the exponentially expressed second operand. With this configuration, in the case where the vectorially expressed data is input as the first operand and the exponentially expressed data is input as the second operand, the second operand is converted into a vectorial expression by the conversion circuit, after which the arithmetic operation is performed in the Galois field vector adder or the Galois vector multiplier.
摘要:
A spectrum analyzer including a signal receiving and processing unit, a sampling unit, a histogram measuring unit, an arithmetic unit and a display unit. The signal receiving and processing unit receives an input signal according to the desired frequency sweep information. The sampling unit samples a signal output from receiving and processing unit, according to a plurality of threshold values and outputs a plurality of output codes corresponding to sample values of the envelope of the input signal. The histogram measuring unit measures a group of histograms corresponding to the output codes produced by the sampling unit. The arithmetic unit calculates the amplitude probability distribution (APD) of the output signal based on the histograms. The display unit displays a band group having a plurality of the ranges calculated by the arithmetic unit as an area in different states.
摘要:
A general finite-field multiplier and the method of the same are disclosed for the operation of the finite-field multipliers of various specifications. In the multiplier, AND gates and XOR gates are used as primary components, and the inputs include two elements A and B to be multiplied and the coefficients of a variable polynomial p(x). This multiplier can be applied to the finite-field elements of different bit number. After all the coefficients of the A, B and p(x) are input, the values of a desired C can be obtained rapidly. Since the output values are parallel output, the application is very convenient. Furthermore, the multiplier can be used in the RS chip for different specifications.
摘要:
A circuit is designed with a plurality of logic circuits (370-374) for producing an offset state matrix. The circuit includes a first logic circuit (380-383) coupled to receive N elements of a respective row of a transition matrix and N elements of column of an input state matrix. The first logic circuit produces a multi-bit logical combination of corresponding bits of the respective row and the column. A second logic circuit (390) is coupled to receive the multi-bit logical combination and produces a respective element of the offset state matrix.
摘要:
The present disclosure provides an arithmetic processor comprising: an arithmetic logic unit having a plurality of arithmetic circuits each for performing a group of associated arithmetic operations, such as finite field operations, or modular integer operations. The arithmetic logic unit has an operand input data bus, for receiving operand data thereon and a result data output bus for returning the results of the arithmetic operations thereon. A register file is coupled to the operand data bus and the result data bus. The register file is shared by the plurality of arithmetic circuits. Further a controller is coupled to the ALU and the register file, the controller selecting one of the plurality of arithmetic circuits in response to a mode control signal requesting an arithmetic operation and for controlling data access between the register file and the ALU and whereby the register file is shared by the arithmetic circuits.
摘要:
Polynomial arithmetic instructions are provided in an instruction set architecture (ISA). A multiply-add-polynomial (MADDP) instruction and a multiply-polynomial (MULTP) instruction are provided.