On the connection between multiplier word length limitation and roundoff noise in digital filters Export

@article{citeulike:2367049, abstract = {It is shown that for digital filters there exists a direct and an indirect connection between the generation of roundoff noise by a multiplier and the effect that the coefficient word length limitation of this multiplier has upon the response characteristic: rounding can be interpreted as coefficient fluctuation, and any design method requiring fewer digits for the multipliers makes it possible to increase the signal word lengths without an increase in overall complexity. A mathematical formula expressing the noise-to-signal ratio due to roundoff noise generated by a sinusoidal signal, in terms of the attenuation sensitivity, is obtained. It confirms why digital filters with reduced attenuation sensitivity, such as wave digital filters, also produce less roundoff noise.}, author = {Fettweis, A.}, booktitle = {Circuits Theory, IEEE Transactions on [legacy, pre - 1988]}, citeulike-article-id = {2367049}, citeulike-linkout-0 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1083509}, journal = {Circuits Theory, IEEE Transactions on [legacy, pre - 1988]}, keywords = {low\_sens\_filter}, number = {5}, pages = {486--491}, posted-at = {2008-02-12 20:12:37}, priority = {2}, title = {On the connection between multiplier word length limitation and roundoff noise in digital filters}, url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1083509}, volume = {19}, year = {1972} }

TY - JOUR ID - citeulike:2367049 L3 - citeulike-article-id:2367049 N2 - It is shown that for digital filters there exists a direct and an indirect connection between the generation of roundoff noise by a multiplier and the effect that the coefficient word length limitation of this multiplier has upon the response characteristic: rounding can be interpreted as coefficient fluctuation, and any design method requiring fewer digits for the multipliers makes it possible to increase the signal word lengths without an increase in overall complexity. A mathematical formula expressing the noise-to-signal ratio due to roundoff noise generated by a sinusoidal signal, in terms of the attenuation sensitivity, is obtained. It confirms why digital filters with reduced attenuation sensitivity, such as wave digital filters, also produce less roundoff noise. IS - 5 JF - Circuits Theory, IEEE Transactions on [legacy, pre - 1988] EP - 491 TI - On the connection between multiplier word length limitation and roundoff noise in digital filters VL - 19 T2 - Circuits Theory, IEEE Transactions on [legacy, pre - 1988] SP - 486 KW - low_sens_filter AU - Fettweis, A PY - 1972/// UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1083509 ER -