Minimisation and prediction of the error dynamic range in finite wordlength FIR based architectures: application to the 2-D orthogonal DWT

A. Benkrid, K. Benkrid, D. Crookes
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Abstract

This paper analyses the effects of fixed-point arithmetic in FIR filter based architectures, based on the roundoff statistical noise model. A novel approach, which allows minimising the architecture's error dynamic range and predicting its value according to the wordlength fractional precision, is suggested. This permits a hardware designer to preset the fractional precision for the sought implementation accuracy. The efficiency of this approach is demonstrated through the 2D orthogonal Daubechies-8 DWT family.
基于有限字长FIR结构中误差动态范围的最小化和预测:在二维正交小波变换中的应用
本文基于舍入统计噪声模型,分析了定点算法在FIR滤波器结构中的作用。提出了一种新的方法,使结构的误差动态范围最小化,并根据字长分数精度预测其值。这允许硬件设计人员为所寻求的实现精度预先设定分数精度。通过二维正交Daubechies-8 DWT族验证了该方法的有效性。
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