Energie van discrete tijdsystemen

Why is H N a discrete time system?

Approximating the continuous-time differential equation as a discrete-time system enables the system to be simulated by hand and computer. In a discrete-time system, time advances in lumps. If the lump size, also known as the timestep, is T, then h [n ] is the discrete-time approximation of h nT ( ).

What is a discrete-time system?

From an engineering perspective, a discrete-time system represents a process by simplymapping a discrete-time signal called the input, to a discrete-time signal called theoutput.

How do we find the properties of discrete-time systems?

This gives us the properties of discrete-time systems. To find the properties of sampled signals we develop the theory of the discrete-time Fourier transform (DTFT) which is merely a continuous time representation of a sampled frequency.

How do you turn a system into a discrete time system?

To turn the system into a discrete-time system, let T be the time step, x n [ be ] the discrete-time estimate for the position x (nT ), and v [n be the discrete-] time estimate for the velocity v (nT ). Those changes take care of all the terms except for the derivatives. How do you translate the derivatives?

Can discrete time systems be interconnected?

Discrete-time systems, and LTI systems in particular, can be interconnected to form larger systems. There are two basic ways in which systems may be interconnected: in cascade (series) or in parallel. These interconnections are shown in Fig. 2.12. LTI systems in cascade (Fig. 2.12 a):

What is a discrete-time system described by a dierence equation?

Generally, a discrete-time system described by a dierence equation canbe written as wherea0; a1; : : : ; aNandb0; b1; : : : ; bMare constant coecients witha06= 0. Notice thata0 6= 0 ensures that the system is causal. In the following we mainly focus on systemsdescribed by dierence equations.