Statement

Giorgio loves playing with delays to compose electronic songs! A delay is an electrical component that takes two inputs: a musical signal, which is a sequence S_t for t= 0 … N-1 of integer values, and the delay amount, which is also a sequence D_t for t = 0 … N-1 of integers (it can change over time!). As output, the delay component produces the exact same values appearing in the input musical signal, in the correct order, possibly skipping some of them and repeating others, in order to match as much as possible the requested delay. We say that the integer O_t in output at time t has a delay of x if it is equal to the input musical signal S_t-x. At every time step t, the delay component chooses the value of x closer to D_t which produces a value coming no earlier than O_t-1 in the original sequence. This delayed version of the input musical signal is very useful to create psychedelic echo effects...