Signal Analysis and Modeling

The modeling of systems is one of the most important areas of signal processing. Modeling is an alternative approach to signal analysis, with properties differing from those of the Fourier transform and those of filters defined in the frequency domain. Digital filters apply to system modeling. Linear prediction is a particular case in which the output of the system to be modeled is the signal itself. Finite impulse response and infinite impulse response filters can be implemented in lattice structures. The approach is particularly advantageous in linear prediction. The environment might convey several useful source signals, which the receiver has to be able to distinguish. The corresponding global system has multiple inputs and multiple outputs. The autocorrelation matrix is instrumental in high‐resolution spectral analysis of signals, through the harmonic decomposition method. Linear prediction allows for real‐time signal analysis and can lead to simple and efficient compression methods.