A novel quantization error (QE) compensation method is proposed in design of high accuracy fixed-width radix-4 Booth\nmultipliers, which will effectively reduce the QE and save the area of multipliers when they are employed in cognitive radio (CR)\ndetector and digital signal processor (DSP).The truncated partial-products of the proposedmultipliers are finely divided into three\nsections: reserved section, adaptive compensation section, and constant compensation section.TheQE compensation carries of the\nmultipliers are generated by applying probability estimation based on a shrunken minor truncated sectionwhich is a combination of\nthe constant compensation and adaptive compensation. The proposed compensation method not only reduces the QE of the fixedwidth\nBooth multipliers, but also avoids the exhaustive computing resources (time and memory) during getting the compensation\ncarries by statistical simulation.The proposed method can achieve higher accuracy than the existing works under the same area and\npower budgets. Simulation and experiment results show that the improved compensation method has the minimum power-delay\nproducts compared with the existingmethods under the same area and can save up to 30% area for realization of full-width radix-4\nBooth multipliers.
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