A novel approach for diminishing and predicting the error dynamic range in finite wordlength FIR based architectures

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 diminishing the error dynamic range and predicting its value according to the wordlength precision, is suggested. This permits the user to preset the fraction precision according to the sought architecture´s precision. The efficiency of this approach is demonstrated through the 2D DWT biorthogonal 9&7 transform.