In this book we will consider antenna arrays which consist of many individual antenna elements, and therefore a large number of signals, one for each element, have to be processed at the same time. The signals can be assigned to locations on the antenna, forming discrete sampling of the spatial wave field for transmitting or receiving. Signals transmitted or received with a radar system have also to be represented as a function of time. Signal samples are formed in the spatial and temporal dimension for digital signal processing with signal processors or computers and for recording for later analysis.

Chapter Contents:

• 2.1 Vectors, matrices
• 2.2 Computing with matrices
• 2.2.1 Addition and subtraction
• 2.2.2 Multiplication
• 2.2.3 Identity matrix
• 2.2.4 Inverse matrix
• 2.2.5 Eigenvalue decomposition
• 2.2.6 QR decomposition
• 2.3 Fourier transform
• 2.3.1 Fast Fourier transform
• 2.4 Filter in the frequency and time domain
• 2.5 Correlation 14
• 2.6 Wiener-Khintchine theorem
• References