Digital differentiator is digital circuit for differentiation of digital signal. It is often used in a wide range of fields such as sound processing, image processing, measurement and control. In this work, we propose the design of the sparse integer order differentiators which contain zero coefficients. We show the fast search algorithm for obtaining the solution of sparse integer order differentiators. Design examples show that the fast search algorithm can often find the optimal solution which is obtained by the tree structure. Thus, the effectiveness of the fast algorithm can be demonstrated.
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