High Accuracy Fixed-width Booth Multipliers with Probabilistic Estimation Compensated Method

In this research, a probabilistic estimation compensation (PEC) method for fixed-width Booth multiplier is proposed. According to the probabilistic analysis for the truncation part,a formula is obtained to calculate the compensation value easily. In the application of long bit width, the PEC method is implemented by a simple compensation circuit without the exhaustive simulation to achieve a high accuracy. Compared to the previous works, the proposed method achieves better performance in accuracy. In order to verify the performance of PEC multipliers in real applications, it is implemented in an 8 × 8 two-dimensional (2-D) discrete cosine transform (DCT). The result shows that the proposed PEC method can save 23% area with 4dB peak signal-to-noise ratio (PSNR) penalty.