The impulse response of a system can be derived from the characteristic impedance by taking the inverse Fourier transform of the transfer function. This will give you the time domain representation of the system's response to an impulse input.
Characteristic impedance is the ratio of voltage to current in a transmission line or system, and is determined by the physical properties of the system such as resistance, capacitance, and inductance. It is a fundamental property that describes how a system will respond to electrical signals.
Knowing the impulse response of a system is crucial in understanding its behavior and performance. It allows for the prediction of its response to different types of inputs, and can aid in the design and optimization of the system.
Some common methods include using analytical equations to calculate the transfer function and then taking the inverse Fourier transform, using numerical techniques such as the finite difference method, or conducting experiments and measuring the system's response to an impulse input.
Yes, characteristic impedance can change over time due to various factors such as temperature, aging of components, or changes in the physical properties of the system. It is important to regularly measure and update the characteristic impedance to ensure accurate results.