Vaihesiirtymäfunktiot

Vaihesiirtymäfunktiot are mathematical models that describe the relationship between an input signal and an output signal in discrete-time systems. Commonly used in control theory and digital signal processing, they are typically expressed as rational functions of the complex variable \( z \), derived from the z-transform of the system’s impulse response. These functions characterize how the system processes signals across different frequencies, with key properties including poles (indicating stability and system dynamics) and zeros (affecting frequency response). Vaihesiirtymäfunktiot are fundamental tools for analyzing system behavior, designing controllers, and implementing digital filters, enabling engineers to predict and manipulate system responses effectively.