Monotonic step response filters with maximum asymptotic cutoff
P. Halpern · IEEE Transactions on Circuits and Systems · 1976
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}, 0t1_{n}(t)=0, 1 < tThe transfer functions are all ladder realizable requiring no redundant elements.