Abstract. To localize and quantify greenhouse gas emissions from cities, concentrations are typically measured at a small number of sites then linked to emission fluxes using atmospheric transport models. Solving this inverse problem is challenging because the system equations often has no unique solution can be sensitive noise. A common top–down approach for solving Bayesian inversion with ass...

This paper considers a robust recovery of sparse frequencies from partial phase-only measurements. With the proposed method, sparse frequencies can be reconstructed, which makes full use of the sparse distribution in the Fourier representation of the complex-valued time signal. Simulation experiments illustrate the proposed method’s advantages over conventional methods in both noiseless and add...