The design of peak constrained least squares FIR filters with finite precision coefficients

A method for the design of finite precision coefficient (FPC) peak constrained least squares (PCLS) finite duration impulse response (FIR) digital filters based on Adams' optimality criterion and an efficient local search method is presented. Simple quantization of the infinite precision filter coefficients typically leads to filter designs that fail to meet the frequency response and passband to stopband energy ratio (PSR) specifications. It is shown that it is possible to implement computationally efficient filters (with reduced filter FPC wordlengths) that meet the passband and stopband attenuation specifications at the expense of a lower PSR energy ratio.