A new ordering method for FIR filters based on finite word length effect on moments of impulse response

The effect of the finite word length on the moment of the impulse response of a digital filter is investigated. It is shown that the quantization error in the moment values is almost linear with a slope of 3 dB/b and is well related to the output roundoff noise. An algorithm is also proposed to order the cascade sections of a finite impulse response (FIR) filter with low output roundoff noise.<
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