Efficient real-time computation

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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07007052

ABSTRACT:
Systems and methods for determining coefficients a filter are disclosed. The filter coefficients are computed by determining a sine of an input value and an inverse of the input value. The sine of the input signal and the inverse of the input signal are multiplied together to form a sinc value of the input value. The sinc value is employed to determine the coefficient. The system and method can be repeated to compute any number of filter coefficients in real-time. The sine of the input signal is computed utilizing a memory lookup table. The memory lookup table includes pairs of uniformly distnbuted values for the sine and cosine functions in the range of 0 to π. The inverse of the input value is computed using an inverse memory lockup table, a most significant digit and a remainder. The coefficient is then computed from a product of the sine of the input signal and the inverse of the input signal. Thus, the coefficient is computable in real-time without the use of previously computed and stored coefficients.

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