Interpolator and designing method thereof

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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07840623

ABSTRACT:
Interpolation of signed values A and B is efficiently performed by simple circuitry. To calculate an interpolated value C based on a 4-bit values A (bits a3a2a1a0) and B (bits b3b2b1b0) expressing a negative number by twos complement notation and a 4-bit interpolation rate D (bits d3d2d1d0) consisting of only a decimal part, a basic expression of C=(1−D)*A+D*B is transformed into an expression composed of an unsigned part that includes a sum of products with a bit dior a logically inverted value eiof the bit di(i=0, 1, 2, and 3), and indicates an absolute value of the interpolated value C, and a signed part indicating a sign of the interpolated value C. Then, 7 bits of bits c6through c0are generated from an arithmetic operation of the unsigned part, and logic judgement of the signed part is performed by considering a carry from the digit of the bit c6of the arithmetic operation of the unsigned part to generate a bit c7. Significant digits of the obtained 8-bit value (bits c7through c0) are outputted as an interpolated value.

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