Cours de A. Napolitano (Parthenope University, Naples)

Ce cours fait partie du semestre "Non-stationarity, cylco-stationarity and applications" financé par le labex MME DII (Fondation de Cergy), le laboratoire MODAL'X UMR 9023 et la chaire D3S (Fondation UPN).

Contents of the Course:
Almost-periodic functions. Characterization of continuous-time cyclostationary and almost- cyclostationary processes in the strict sense. Second-order characterization in the time domain and in the frequency domain. Harmonizable processes. Spectral correlation property. Discrete- time almost-cyclostationary processes. Sampling and aliasing. Linear almost-periodically time varying filtering. Estimation of statistical functions in the time and frequency domains: Mean- square consistency and asymptotic complex normality. Higher-order cyclostationarity. Applications in radar/sonar and communications: Signal detection, synchronization, signal classification. Doppler effect. Generalizations of cyclostationarity: Generalized almost-cyclostationary processes, Spectrally correlated processes, Oscillatory almost-cyclostationary processes. Statistical function estimation. Application to biological signals.