blocks Consider a system composed by cascaded non interacting blocks, each having a rise time , , and no overshoot in their step response: suppose also that the input signal of the first block has a rise time whose value is . Afterwards, its output signal has a rise time equal to According to , this result is a consequence of the central limit theorem and was proved by : however, a detailed analysis of the problem is presented by , who also credit as the first one to prove the previous formula on a somewhat rigorous basis. See also Fall time Frequency response Impulse response Step response Settling time Notes References . . . . . . . . . . . . Control theory Control engineering Computational mathematics Transient response characteristics