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Abstract

Methods and systems for providing coefficients to data processing systems. The method operates by calculating the coefficients instead of storing them. A full rank square matrix (having either 1 or −1 in all positions) is used in conjunction with a single column matrix of specific numbers. Depending on the binary input, one row in the square matrix is matrix multiplied with the single column matrix to arrive at the desired coefficient. The result of the matrix multiplication is the desired coefficient after a series of additions and subtractions between the specific numbers in the single column matrix. An implementation of the method has an input module which receives the digital input, a square matrix module that selects a 1 or a −1 to be applied to specific stored values, a stored values module which stores the stored values and which multiplies the selected 1 or −1 to the relevant stored value. Finally, an accumulator module adds and subtracts the stored values after the relevant 1 or −1 has been applied. The output of the accumulator module is the desired coefficient.

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First Claim