/* -*- c++ -*- */ /* * Copyright 2011 Free Software Foundation, Inc. * * This file is part of GNU Radio * * GNU Radio is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3, or (at your option) * any later version. * * GNU Radio is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with GNU Radio; see the file COPYING. If not, write to * the Free Software Foundation, Inc., 51 Franklin Street, * Boston, MA 02110-1301, USA. */ #ifndef INCLUDED_DIGITAL_IMPL_MPSK_SNR_EST_H #define INCLUDED_DIGITAL_IMPL_MPSK_SNR_EST_H #include #include //! Enum for the type of SNR estimator to select /*! \ingroup snr_blk * \anchor ref_snr_est_types * * Below are some ROUGH estimates of what values of SNR each of these * types of estimators is good for. In general, these offer a * trade-off between accuracy and performance. * * \li SNR_EST_SIMPLE: Simple estimator (>= 7 dB) * \li SNR_EST_SKEW: Skewness-base est (>= 5 dB) * \li SNR_EST_M2M4: 2nd & 4th moment est (>= 1 dB) * \li SNR_EST_SVR: SVR-based est (>= 0dB) */ enum snr_est_type_t { SNR_EST_SIMPLE = 0, // Simple estimator (>= 7 dB) SNR_EST_SKEW, // Skewness-base est (>= 5 dB) SNR_EST_M2M4, // 2nd & 4th moment est (>= 1 dB) SNR_EST_SVR // SVR-based est (>= 0dB) }; /*! \brief A parent class for SNR estimators, specifically for M-PSK * signals in AWGN channels. * \ingroup snr_blk */ class DIGITAL_API digital_impl_mpsk_snr_est { protected: double d_alpha, d_beta; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. */ digital_impl_mpsk_snr_est(double alpha); virtual ~digital_impl_mpsk_snr_est(); //! Get the running-average coefficient double alpha() const; //! Set the running-average coefficient void set_alpha(double alpha); //! Update the current registers virtual int update(int noutput_items, const gr_complex *in); //! Use the register values to compute a new estimate virtual double snr(); }; //! \brief SNR Estimator using simple mean/variance estimates. /*! \ingroup snr_blk * * A very simple SNR estimator that just uses mean and variance * estimates of an M-PSK constellation. This esimator is quick and * cheap and accurate for high SNR (above 7 dB or so) but quickly * starts to overestimate the SNR at low SNR. */ class DIGITAL_API digital_impl_mpsk_snr_est_simple : public digital_impl_mpsk_snr_est { private: double d_y1, d_y2; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. */ digital_impl_mpsk_snr_est_simple(double alpha); ~digital_impl_mpsk_snr_est_simple() {} int update(int noutput_items, const gr_complex *in); double snr(); }; //! \brief SNR Estimator using skewness correction. /*! \ingroup snr_blk * * This is an estimator that came from a discussion between Tom * Rondeau and fred harris with no known paper reference. The idea is * that at low SNR, the variance estimations will be affected because * of fold-over around the decision boundaries, which results in a * skewness to the samples. We estimate the skewness and use this as * a correcting term. */ class DIGITAL_API digital_impl_mpsk_snr_est_skew : public digital_impl_mpsk_snr_est { private: double d_y1, d_y2, d_y3; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. */ digital_impl_mpsk_snr_est_skew(double alpha); ~digital_impl_mpsk_snr_est_skew() {} int update(int noutput_items, const gr_complex *in); double snr(); }; //! \brief SNR Estimator using 2nd and 4th-order moments. /*! \ingroup snr_blk * * An SNR estimator for M-PSK signals that uses 2nd (M2) and 4th (M4) * order moments. This estimator uses knowledge of the kurtosis of * the signal (k_a) and noise (k_w) to make its estimation. We use * Beaulieu's approximations here to M-PSK signals and AWGN channels * such that k_a=1 and k_w=2. These approximations significantly * reduce the complexity of the calculations (and computations) * required. * * Reference: * D. R. Pauluzzi and N. C. Beaulieu, "A comparison of SNR * estimation techniques for the AWGN channel," IEEE * Trans. Communications, Vol. 48, No. 10, pp. 1681-1691, 2000. */ class DIGITAL_API digital_impl_mpsk_snr_est_m2m4 : public digital_impl_mpsk_snr_est { private: double d_y1, d_y2; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. */ digital_impl_mpsk_snr_est_m2m4(double alpha); ~digital_impl_mpsk_snr_est_m2m4() {} int update(int noutput_items, const gr_complex *in); double snr(); }; //! \brief SNR Estimator using 2nd and 4th-order moments. /*! \ingroup snr_blk * * An SNR estimator for M-PSK signals that uses 2nd (M2) and 4th (M4) * order moments. This estimator uses knowledge of the kurtosis of * the signal (k_a) and noise (k_w) to make its estimation. In this * case, you can set your own estimations for k_a and k_w, the * kurtosis of the signal and noise, to fit this estimation better to * your signal and channel conditions. * * A word of warning: this estimator has not been fully tested or * proved with any amount of rigor. The estimation for M4 in * particular might be ignoring effectf of when k_a and k_w are * different. Use this estimator with caution and a copy of the * reference on hand. * * The digital_mpsk_snr_est_m2m4 assumes k_a and k_w to simplify the * computations for M-PSK and AWGN channels. Use that estimator * unless you have a way to guess or estimate these values here. * * Original paper: * R. Matzner, "An SNR estimation algorithm for complex baseband * signal using higher order statistics," Facta Universitatis * (Nis), no. 6, pp. 41-52, 1993. * * Reference used in derivation: * D. R. Pauluzzi and N. C. Beaulieu, "A comparison of SNR * estimation techniques for the AWGN channel," IEEE * Trans. Communications, Vol. 48, No. 10, pp. 1681-1691, 2000. */ class DIGITAL_API digital_impl_snr_est_m2m4 : public digital_impl_mpsk_snr_est { private: double d_y1, d_y2; double d_ka, d_kw; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. * \param ka: estimate of the signal kurtosis (1 for PSK) * \param kw: estimate of the channel noise kurtosis (2 for AWGN) */ digital_impl_snr_est_m2m4(double alpha, double ka, double kw); ~digital_impl_snr_est_m2m4() {} int update(int noutput_items, const gr_complex *in); double snr(); }; //! \brief Signal-to-Variation Ratio SNR Estimator. /*! \ingroup snr_blk * * This estimator actually comes from an SNR estimator for M-PSK * signals in fading channels, but this implementation is * specifically for AWGN channels. The math was simplified to assume * a signal and noise kurtosis (k_a and k_w) for M-PSK signals in * AWGN. These approximations significantly reduce the complexity of * the calculations (and computations) required. * * Original paper: * A. L. Brandao, L. B. Lopes, and D. C. McLernon, "In-service * monitoring of multipath delay and cochannel interference for * indoor mobile communication systems," Proc. IEEE * Int. Conf. Communications, vol. 3, pp. 1458-1462, May 1994. * * Reference: * D. R. Pauluzzi and N. C. Beaulieu, "A comparison of SNR * estimation techniques for the AWGN channel," IEEE * Trans. Communications, Vol. 48, No. 10, pp. 1681-1691, 2000. */ class DIGITAL_API digital_impl_mpsk_snr_est_svr : public digital_impl_mpsk_snr_est { private: double d_y1, d_y2; public: /*! Constructor * * Parameters: * \param alpha: the update rate of internal running average * calculations. */ digital_impl_mpsk_snr_est_svr(double alpha); ~digital_impl_mpsk_snr_est_svr() {} int update(int noutput_items, const gr_complex *in); double snr(); }; #endif /* INCLUDED_DIGITAL_IMPL_MPSK_SNR_EST_H */