Fullband Higher Order Differentiators Based on LS Method
نویسندگان
چکیده
This paper deals with the Least Squares (LS) design of fullband higher order digital differentiators. The contribution extends a previous work on the problem presenting some new results (analytical, graphical and numerical) and conclusions. The design method for even and odd arbitrary k-th order differentiators based on the LS integral error criterion is considered. A few new closedform relations for impulse and amplitude responses for LS fullband differentiators are proposed (with order k=1...4). The calculation of the impulse response of a differentiator is very simple and do not require solving a system of linear equations (as it is necessary in other LS techniques). Different numerical examples are shown using the Matlab source. Several amplitude responses and error curves are given. A comparison between fullband and non-fullband higher order differentiators with respect to the peak error in the passband is discussed. Keywords digital differentiators; least-squares method; fullband differentiators
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