Spatial Signal Processing with Emphasis on Emitter Localization

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Presentation transcript:

Spatial Signal Processing with Emphasis on Emitter Localization Anthony J. Weiss 28 July 2019 Spatial Signal Processing

Spatial Signal Processing What to expect? The course covers the important theory developments associated with Emitter Location from 1939. We will try to obtain detailed understanding of the results We will not discuss in detail “existing systems” After the course you should be able to: Recommend a localization technique Evaluate a theoretical Lower bound on performance Estimate the localization performance as a function of sensors-source geometry, SNR, observation time, signal parameters (bandwidth, center frequency), model errors, localization technique, etc. 28 July 2019 Spatial Signal Processing

Spatial Signal Processing Contents Introduction Understanding Geographic Coordinates 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 (CEP, GDOP, uncertainty ellipse) DOA Estimation of Single Signal MLE – Deterministic Unknown Signal MLE – Known Signal MLE – Gaussian Signal CRLB - Deterministic Unknown Signal CRLB – Known Signal CRLB – Gaussian Signal Beam-forming Capon’s Beam-former Null Steering Diversely Polarized Signals and Antennas 28 July 2019 Spatial Signal Processing

Spatial Signal Processing Contents DOA Estimation Multiple Signals MLE – Deterministic Unknown Signals MLE – Known Signals MLE – Gaussian Signals CRLB - Deterministic Unknown Signals CRLB – Known Signals CRLB – Gaussian Signals MUSIC Algorithm Beam space MUSIC Root MUSIC IQML ESPRIT Weighted Subspace Fitting EM Algorithm Alternating Projection MODE (optional) Mono-pulse (optional) Detection of Signal Subspace Dimension 28 July 2019 Spatial Signal Processing

Spatial Signal Processing Contents DOA Based Localization MLE and CRLB Stansfield’s Algorithm DOA GDOP DOA CEP TOA/DTOA Measurements Methods (generalized CC, Leading Edge) Lower bounds (CRLB, Modified Ziv-Zakai) Localization based on TDOA/TOA Maximum Likelihood DPD Closed form solutions Received Signal Strength Measurements Localization based on RSS DDOP Measurements DDOP Localization DDOP+DTOA Localization DPD (Direct Position Determination) Outliers 28 July 2019 Spatial Signal Processing

Spatial Signal Processing Contents Calibration of time, location, gain, phase array orientation Model Errors Localization of nodes in Sensors network Single Site Location Robust Estimator (M estimator, L estimators, p-norm) Employment of sparsity for outliers removal 28 July 2019 Spatial Signal Processing