Course Details
Subject {L-T-P / C} : EC6608 : Digital Array Signal Processing { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Upendra Kumar Sahoo
Syllabus
Array and Spatial Filters: Frequency-wave number response and beam patterns, uniform linear array, uniform weighted linear array, array steering directivity, array gain vs. spatially white noise, sensitivity and tolerance factor, aperture sampling. Synthesis of Linear Arrays and Apertures: spectral weighting, real array weights, Pattern Sampling in Wavenumber space: continuous aperture, Minimum Beamwidth for Specified Sidelobe Level: Dolph-Chebychev arrays, Taylor distribution, Least Squares Error Pattern Synthesis, Minimax Design: Alternation Theorem, Parks-McClellan-Rabiner Algorithm, Null Steering, Null Constraints, Least Squares Error Pattern Synthesis with Nulls, Asymmetric Beams, Spatially Non-uniform Linear Arrays, Beamspace, Broadband Arrays . Planar Arrays and Apertures: Rectangular Arrays, Uniform Rectangular Arrays, Array Manifold Vector, Separable Spectral Weightings, 2-D z-Transforms, Least Squares Synthesis, Circularly Symmetric Weighting and Windows, Wavenumber Sampling and 2-D DFT, Transformations from One Dimension to Two Dimensions Circular Arrays: Continuous Circular Arrays, Circular Arrays, Phase Mode Excitation Beamformers, Circular, Separable Weightings, Taylor Synthesis for Circular Aperture Hexagonal Arrays: Beam Pattern Design, Hexagonal Grid to Rectangular Grid Transformation Nonplanar Cylindrical Arrays, Spherical Arrays Optimum Waveform Estimation: Optimum Beamformers, Minimum Variance Distortionless Response (MVDR), Beamformers, Minimum Mean-Square Error (MMSE) Estimators, Maximum Signal-to-Noise Ratio (SNR), Minimum Power Distortionless Response (MPDR) Beamformers, Discrete Interference Single Planewave Interfering Signal, Multiple Plane-wave Interferers, Summary: Discrete Interference Spatially Spread Interference, Physical Noise Models, ARMA Models, Multiple Plane-wave Signals, MVDR Beamformer, Mismatched MVDR and MPDR Beamformers, Eigenvector Beamformers, Beamspace Beamformers, Softconstraint Beamformers, Beamforming for Correlated Signal and Interferences, Broadband Bearnformers Adaptive Beamformers: Estimation of Spatial Spectral Matrices, Sample Matrix Inversion (SMI), Recursive Least Squares (RLS), Efficient Recursive Implementation Algorithms, Gradient Algorithms LMS Algorithms, Detection of Signal Subspace Dimension, Eigenspace and DMR Beamformers, Beamspace Beamformers, Broadband Beamformers
Course Objectives
- In order to make student to acquire knowledge about the modern radar, sonar and communication techniques.
Course Outcomes
This helps student knowledge about the adaptive array system that is used more in radar and sonar.
Essential Reading
- Harry L. Van Trees, Optimum Array Processing (Detection, Estimation and Modulation Theory, Part-IV), John Wiley & Sons, 2002.
- B Allem and M Gabhami, Adaptive array systems: Fundamentals and applications, John Wiley & Sons, 2005
Supplementary Reading
- Larysa Titarenko and Alexander Barkalov, Methods of Signal Processing for Adaptive Antenna Arrays, Springer 2013 edition
- Bernard D. Steinberg, Principles of Aperture and Array System Design: Including Random and Adaptive Arrays, John Wiley & Sons Inc