Technologies are provided for generation of programmable pulse signals using inverse chaotic maps, without reliance on a clocking signal. Some embodiments of the technologies include an apparatus that can receive a sequence of bits having a defined number of bits, where the sequence of bits represent a desired continuous pulse signal having a programmable width in time-domain. The apparatus can also can receive a precursor continuous pulse signal having an arbitrary width in time-domain that fits within the dynamic range of the apparatus. The apparatus can generate the desired continuous pulse signal by transforming the precursor continuous pulse signal using the sequence of bits and an inverse chaotic map.