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Presented is a non-data-aided (NDA) signal-to-noise ratio (SNR) estimation method for amplitude-phase shift-keying (APSK) in the presence of additive white Gaussian noise over a quasi-static channel. The proposed estimator is based on a rank discrimination test and uses a look-up table for SNR estimation. The performance of the proposed estimator is evaluated for 8APSK and 16APSK. It is shown through Monte-Carlo simulations that the proposed estimator outperforms existing NDA moment-based SNR estimators in terms of normalised mean-square error.