ML-based identification of multiple leaks in a pipe

This code can be used to justify the linearized model of transient wave in pipes with multiple leaks, to localize two leaks using a 2D exhaustive searching of leaks (based on the maximum likelihood principle), and to test the super-resolution of leak localization. Here, two leaks are assumed in the inverse methods; for higher (assumed) leak number (>2), this code cannot be used.
More details can be found in:
X. Wang and M. S. Ghidaoui, Identification of multiple leaks in pipeline: Linearized model, maximum likelihood, and super-resolution localization, Mechanical Systems and Signal Processing, vol. 107, pp. 529-548, 2018