Narrow-band recursive filters with error spectrum shaping
D.C. Munson, B. Liu · IEEE Transactions on Circuits and Systems · 1981
Earrrs due to Finite wordlength can be quite large in narrowband recursive digital filters. It has been shown that these errors may be considerably reduced by using a technique known as error spectrum shaping (ESS), which utilizes quantizer feedback. In this letter we first derive closed-formn bounds on the amplitude of zero-input limit cycles in ESS filters. An expression is then derived for the mean squared roundoff error (MSE) in a inultiplierless ROM/ACC type implementation, including the effects of scaling and finite wordlength ROM.