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An iterative method to determine an average backscatter-to-extinction ratio and extinction coefficient simultaneously in cirrus clouds is proposed. The method is based on Klett's inversion, which is constrained by the total optical depth. A signal-to-noise ratio greater than 3 at the cloud top is required for an error in the backscatter-to-extinction ratio lower than 20% to result. The method has been tested with simulated lidar signals. An application to an experimental lidar signal is discussed.