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Fast multiplication can be achieved by using canonical signed digit (CSD) to speed-up computations. Conversion to CSD is needed when the multiplier is not known a priori. In this work, a novel approach for converting an unsigned binary number or two's complement number to its CSD form from least significant bit to most significant bit, (right-to-left), is presented. Comparison shows that our algorithm...
Distributed arithmetic (DA) is performed to design bit-level architectures for vector–vector multiplication with a direct application for the implementation of convolution, which is necessary for digital filters. In this brief, two novel DA-based implementation schemes are proposed for adaptive finite-impulse response filters. Different from conventional DA techniques, our proposed schemes use coefficients...
For finite impulse response (FIR) filter implementation, fixed point arithmetic is frequently used, where truncation or rounding can be applied to round 2n-bit products of 2 n-bit numbers to n-bit products internally for decreasing power dissipation and space cost. Also, the multiplication can be done multiplierlessly by using single constant multiplication (SCM) or multiple constant multiplication...
Multiplication is performed frequently when implementing finite impulse response (FIR) filters. In most cases, rounded products are necessary to circumvent the growth of word length in order to reduce the area requirement and power dissipation and to speed up the circuit. However, due to rounding or truncating, errors are caused. In addition, in the FIR filter implementation, because of internal truncation,...
Auscultation is one of the Four Diagnosis Methods in traditional Chinese medicine (TCM). It has been researched through various methods, including digital techniques. This paper is aimed to review studies using digital signal processing techniques in recent years. Two kinds of methods (traditional methods and nonlinear methods) were illuminated briefly, including principles, main parameters and algorithms...
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