@ARTICLE{ iet:/content/journals/10.1049/el_20020934, author = {G.M. O'Donnell}, author = {D.D. Murphy}, author = {R.C. Kavanagh}, keywords = {input sequence;rate estimation;number theory;signal processing;mean-squared error;quantisation error;quantised input signal;nonlinear FIR differentiator;}, ISSN = {0013-5194}, language = {English}, abstract = {The proposed nonlinear finite impulse response (FIR) differentiator is optimised for the reduction of quantisation error when processing signals of constant or slowly varying rate. Judicious use of a number theoretic approach to rate estimation for some input sequences reduces mean-squared error, relative to that of the optimum linear differentiator, whilst facilitating simple implementation.}, title = {Nonlinear FIR differentiator for quantised input signals}, journal = {Electronics Letters}, issue = {22}, volume = {38}, year = {2002}, month = {October}, pages = {1319-1321(2)}, publisher ={Institution of Engineering and Technology}, copyright = {© IEE}, url = {https://digital-library.theiet.org/;jsessionid=g9f5h4b5e41lq.x-iet-live-01content/journals/10.1049/el_20020934} }