# GAE and OBE Enhanced Interference Mitigation Techniques in LDACS
## Nomenclature  
\begin{tabular}{l l} GAE & Genie-aided estimator \\ OBE & Optimal Bayesian estimator \\ LDACS & L-band digital aeronautic communication systems \\ DME & Distance measuring equipment \\ PPA & Pulse peak attenuator \\ PPL & Pulse peak limiter \\ GAEPPA & Genie-aided estimator enhanced pulse peak attenuator \\ GAEPPL & Genie-aided estimator enhanced pulse peak limiter \\ JGAEPPA & Joint genie-aided estimator enhanced pulse peak attenuator \\ JGAEPPL & Joint genie-aided estimator enhanced pulse peak limiter \\ OBEPPA & Optimal Bayesian estimator enhanced pulse peak attenuator \\ OBEPPL & Optimal Bayesian estimator enhanced pulse peak limiter \\ JOBEPPA & Joint optimal Bayesian estimator enhanced pulse peak attenuator \\ JOBEPPL & Joint optimal Bayesian estimator enhanced pulse peak limiter \\ BER & Bit error rate \\ SNR & Signal-to-noise ratio \\ VHF & Very high frequency band \\ WAIC & Wireless avionic intra communication \\ UAV & Unmanned aerial vehicle \\ A/G & Air-ground communications \\ DSB-AM & Double sideband amplitude modulation \\ ATM & Air traffic management \\ TBO & Trajectory-based operations \\ ICAO & International civil aviation organization \\ GSM & Global system for mobile communication \\ TACAN & Tactical air navigation \\ JTIDS & Joint tactical information distribution system \\ \end{tabular}  
\begin{tabular}{l l} UAT & Universal access transceiver \\ SSR & secondary surveillance radar \\ ACAS & airborne collision avoidance system \\ FL & Forward link \\ GS & Ground station \\ RL & Reverse link \\ AS & Air station \\ FDD & Frequency division duplexing \\ CCK & Complementary code keying \\ DWT & Discrete wavelet transform \\ PLC & Power-line communication \\ ADSL & Asymmetric digital subscriber lines \\ DVBT & Digital video broadcasting--terrestrial \\ QPSK & Quadrature Phase Shift Keying \\ AWGN & Additive white Gaussian noise \\ K-GMM & K-component Gaussian mixture mode \\ \(S\) & LDACS forward link frame \\ \(S_{t}\) & \(t\)th symbol of LDACS forward link frame (S) \\ \(\sigma_{s}^{2}\) & variance of \(S_{t}\) \\ \(N\) & Number of orthogonal subcarriers \\ \(X_{t}\) & The OFDM symbol \\ \(N_{CP}\) & number of cyclic prefix bits \\ \(x^{\prime}_{t}\) & Transmitted vector \\ \(x^{\prime}\) & Transmitted signal \\ \(y^{\prime}\) & Received signal \\ \(i_{t}\) & Noise \\ \(W_{t}\) & AWGN noise \\ \(D_{t}\) & Impulse noise \\ \(y^{\prime}_{t}\) & Received signal at an instant '\(t\)' \\ \(y_{t}\) & Received signal after CP removal '\(t\)' \\ \(D_{p}(t)\) & A pair of DME pulses \\ \(l_{Dp}(f)\) & Modulated DME spectrum \\ \(l_{Dp}(t)\) & DME interfering signal to LDACS system \\ \(\hat{x}_{t}\) & Estimated output signal at each time epoch \\ \(\sigma^{2}x\) & Signal power of transmitted signal \(x^{\prime}\) \\ \(\sigma^{2}i\) & Noise power added to transmitted signal \\ \(\sigma^{2}x_{t}\) & Signal power at an instant \\ \(\sigma^{2}i_{t}\) & Noise power at an instant \\ \(P_{k}\) & Probability of occurrence of each Gaussian component \(k\) \\ \(\Gamma\) & The ratio of thermal noise to impulse noise \\ \(p^{I}\) & Probability of impulse noise \\ \(\sigma^{2}I\) & Impulse Noise power \\ \(\sigma^{2}0\) & Thermal noise power \\ \(\hat{x}_{|\text{JG}}(y)\) & Output of GAE \\ \(\hat{x}_{|\text{JG}A|}(y)\) & Output of GAEPTA \\ \(\hat{x}_{|\text{JG}L|}(y)\) & Output of GAEPTL Type 1 \\ \(\hat{x}_{|\text{JG}L|}(y))\) & Output of GAEPTL Type 2 \\ \(\rho_{k}\) & Attenuation factor for GAE, GAEPTA and JGAEPTA \\ \(\rho_{mol}\) & Attenuation factor for GAEPTL Type 1 and JGAEPTL Type 1 \\ \(M.\rho_{k}\) & Attenuation factor for GAEPTL Type 2 and JGAEPTL Type 2 \\ \(\hat{x}^{*}_{|\text{J}GA|}(y)\) & Output of JGAEPTL Type 2 \\ \(\hat{x}^{*}_{|\text{J}GL|}(y)\) & Output of JGAEPTL Type 1 \\ \(\hat{x}^{*}_{|\text{J}GL|s}(y)\) & Output of JGAEPTL Type 2 \\ \(\hat{x}_{\text{J}\rho}(y)\) & Output of OBE \\ \(\hat{x}_{|\text{J}OA|}(y)\) & Output of OBEPTA \\ \(\hat{x}_{|\text{J}OL|}(y)\) & Output of OBEPTL (Types 1 and 2) \\ \(\hat{x}^{*}_{|\text{J}OA|}(y)\) & Output of JOBEPPA \\ \end{tabular}