The decomposition of nonlinear chirp modes is a challenging task, typically requiring prior knowledge of the number of modes a signal contains. In this work, we present a greedy nonlinear chirp mode estimation (NCME) technique that forms the used decomposition basis from the signal itself, using an arctangent demodulation technique. The resulting decomposition is formed by considering the residual energy and smoothness of the instantaneous amplitude. We also derive a computationally efficient implementation of the resulting estimator, using the alternating direction method of multipliers (ADMM). Numerical simulations and experimental data analysis illustrate the effectiveness and advantages of the proposed method.

非线性线性调频模式的分解是一项艰巨的任务，通常需要对信号包含的模式数量有先验知识。在这项工作中，我们提出了一种贪婪的非线性chi模式估计（NCME）技术，该技术使用反正切解调技术从信号本身形成了使用的分解基础。通过考虑剩余能量和瞬时振幅的平滑度来形成分解结果。我们还使用乘法器的交替方向方法（ADMM）推导了所得估算器的高效计算实现。数值模拟和实验数据分析证明了该方法的有效性和优势。