• Complex representation of RF Signals,

•  Complex Random variables and vectors - probability density function and the complex gradient operator

•  Lower Bounds on Parameter Estimation Errors

•  Statistical Theory of Passive Location Systems

•  DOA Estimation, Single Signal

o  MLE – Deterministic Unknown Signal

o  MLE – Known Signal

o  LE – Gaussian Signal

o  CRLB - Deterministic Unknown Signal

o  CRLB – Known Signal

o  CRLB – Gaussian Signal

•  Beam-forming

•  Capon’s Beam-former

•  Null Steering

•  DOA Estimation Multiple Signals

oMLE – Deterministic Unknown Signals

oMLE – Known Signals

oMLE – Gaussian Signals

o  CRLB - Deterministic Unknown Signals

o  CRLB – Known Signals

o  CRLB – Gaussian Signals

o  MUSIC Algorithm

o  Beam space MUSIC

o  Root MUSIC

o  IQML

o  ESPRIT

o  Weighted Subspace Fitting (MODE)

o  Alternating Projection (optional)

• Mono-pulse (optional)

• Detection of Signal Subspace Dimension

• DOA Based Localization

o  MLE and CRLB

o  Stansfield’s Algorithm

o  DOA GDOP

o  DOA CEP

• TOA/DTOA Measurements

o  Methods (generalized CC, Leading Edge)

o  Lower bounds (CRLB, Modified Ziv-Zakai)

• Localization based on TDOA/TOA

o  Maximum Likelihood

o  DPD

o  Closed form solutions

• Received Signal Strength Measurements

• Localization based on RSS

• DDOP Measurements

• DDOP Localization

• DDOP+DTOA Localization

• DPD (Direct Position Determination)

• Outliers, robust estimation, convexity, sparsity

• Calibration of time, location, gain, phase array orientation

• Model Errors

• Localization of nodes in Sensors network

• Single Site Location