On the Relation Between Impulse Response Moments And Locations Of Poles And Zeros Of A Digital Filter

Conventional sensitivity measures in the study of quantization effects in digital filters involve cross terms of zeros and poles and are hard to express the effect of individual poles and zeros. We show a linear relation between the zeros and poles and the moments of the impulse response. We also show an interesting condition for the zeros of FIR low pass filter having linear phase and real coefficients.