Fast convolution for recursive digital filters
Jethro W. Meek, Anestis S. Veletsos · IEEE Transactions on Audio and Electroacoustics · 1972
A physically motivated procedure is presented for evaluating the response of recursive digital filters via the fast Fourier transform (FFT). The key idea of the method is to employ a short string of artificial impulses as an alternative representation of the initial conditions implicit in processing a long excitation in segments. The method is computationally more efficient or of wider applicability than existing FFT techniques.