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Monotonic step response filters with maximum asymptotic cutoff

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Transfer functions are derived which yield a monotonic step response, or equivalently positive impulse response, and which yield maximum asymptotic cutoff for the degree of the network. The impulse response of the networks is approximated accurately byh_{n}(t)=K_{n}(sin{pi}t)^{n}, 0<t<1_{n}(t)=0, 1 < tThe transfer functions are all ladder realizable requiring no redundant elements.

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Circuits and Systems, IEEE Transactions on  (Volume:23 ,  Issue: 6 )