Computation of Discrete-Time Analytic Signals

Complex signals play an important role in signal processing and communication systems. This paper focuses on two types of complex signals: complex baseband and analytic bandpass signals. Analytic signals contain only the positive frequency components of the original signal and can be efficiently computed using the FFT algorithm. Complex baseband signals represent modulated signals and can be generated using techniques such as quadrature modulation or discrete complex downconversion. Analytic bandpass signals have a non-zero centered bandwidth and can be generated using the FFT method or by directly generating a complex bandpass signal. In both cases, the signal can be manipulated using complex mixers and filters.