We propose in this paper a self-referenced method based on asynchronous sampling to monitor the waveform of periodic and quasi-periodic signals, with a low number of samples, typically 214 or lower. It provides a high-resolution representation of the signal under test, representative of the analog intensity signal under test. Additionally, the proposed approach is robust to the timing jitter of the signal, as experimentally demonstrated. Such features enable the accurate display of periodic and quasi-periodic signals. The method is applied to the characterization of laser dynamics, such as time series and phase portrait of periodic nonlinear regimes in optically injected lasers.