1. A method for characterizing a modulated Gaussian pulse in a signal, the method comprising: receiving the signal, wherein the signal comprises a first sequence of values, and wherein the signal comprises the Gaussian pulse; determining an estimation of N parameters of the Gaussian pulse, where N is greater than or equal to one, and wherein the estimation corresponds to an estimation waveform of the Gaussian pulse; generating a plurality of permutations of the estimation of the N parameters, wherein the plurality of permutations comprise a corresponding plurality of parameter sets corresponding to a plurality of estimation waveforms; generating a plurality of linear equations from the plurality of parameter sets, wherein each linear equation is a function of a respective one of the parameter sets and at least a subset of the N parameter variables of the Gaussian pulse; and determining the N parameter variables of the Gaussian pulse by solving the plurality of linear equations, wherein the determined parameters characterize the Gaussian pulse.