Impulse invariance is a technique for designing discrete-time infinite-impulse-response (IIR) filters from continuous-time filters in which the impulse response of the continuous-time system is sampled to produce the impulse response of the discrete-time system. The frequency response of the discrete-time system will be a sum of shifted copies of the frequency response of the continuous-time system; if the continuous-time system is approximately band-limited to a frequency less than the Nyquist frequency of the sampling, then the frequency response of the discrete-time system will be approximately equal to it for frequencies below the Nyquist frequency.
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“In life, then, no new thing has ever arisen, or can arise, save out of the impulse of the male upon the female, the female upon the male. The interaction of the male and female spirit begot the wheel, the plough, and the first utterance that was made on the face of the earth.”
—D.H. (David Herbert)