This chapter discusses the function of signal processing to detect the targets from the received signals as effectively as possible and in particular to extract afterwards further information for these targets, especially parameters such as amplitude, Doppler frequency shift, Doppler spectrum, polarisation and exact position. In some applications even a target image can be extracted.

Chapter Contents:

• 3.1 The general tasks of signal processing
• 3.2 Introduction to basics of statistics
• 3.2.1 Probabilities for discrete random variables
• 3.2.2 Continuous random variables
• 3.2.3 Functions of random variables
• 3.2.4 Statistical averages
• 3.2.5 Correlation
• 3.2.6 Gaussian density function
• 3.2.7 Correlated Gaussian variables
• 3.2.8 Complex Gaussian variables
• 3.3 Likelihood-ratio test
• 3.4 Parameter estimation
• 3.4.1 Variance of the estimate and Cramér-Rao limit
• 3.5 Estimation of a signal
• 3.5.1 Maximum-likelihood estimation
• 3.5.2 Signal estimation with least mean-square error
• 3.5.3 Interference suppression by the inverse covariance
• 3.5.4 Improvement of signal-to-noise-and-interference ratio (SNIR)
• 3.6 Summary

Inspec keywords: Doppler radar; statistical analysis; radar detection

Other keywords: Doppler frequency shift; statistical signal theory; Doppler spectrum; target detection; target image

Subjects: Signal detection; Other topics in statistics; Radar theory