Module 1:

Spatial Signals :   Signals in space and time. Spatial frequency, Direction vs. frequency. Wave fields. Far field and Near field signals.

Module 2:

Sensor Arrays :  Spatial sampling, Nyquist criterion. Sensor arrays. Uniform linear arrays, planar and random arrays. Array transfer (steering) vector. Array steering vector for ULA. Broadband arrays

Module 3:

Spatial Frequency: Aliasing in spatial frequency domain. Spatial Frequency Transform,Spatial spectrum. Spatial Domain Filtering. Beam Forming. Spatially white signal

Module 4:

Direction of Arrival Estimation: Non parametric methods - Beam forming and Capon methods. Resolution of Beam forming method. Subspace methods - MUSIC, Minimum Norm and ESPRIT techniques. Spatial Smoothing.