S-Parameters Part 7. How to Convert S Scattering Parameters to ABCD Matrix for Cascaded Circuit.

S-Parameters playlist. https://www.youtube.com/watch?v=_p0efFhCt6I&list=PLFxhgwM1F4yyAu86pAYE5KTppq0xZ8NFr https://www.hackmath.net/en/calculator/complex-number S Parameters Perhaps the most intuitive form of network analysis is the use of Z Parameters. One disadvantage of using an Impedance (or Admittance) Matrix is that they are impossible to measure directly at high frequencies. Fortunately, this issue can be easily resolved by using S Parameters. S Parameters assume that each port is terminated with a certain value. It is relatively easy to convert Z Parameters into S Parameters and vice versa. ABCD Parameters Consider a two-port network. If the voltage and current are measured at the input and output ports, the system can be characterized in terms of its ABCD Matrix. The ABCD Parameters offer several advantages over other network parameters. They allow for the full description of a network in terms of input and output voltage and current, making them convenient for cascading circuits. Cascading S Parameters One of the most useful aspects of network analysis is the ability to cascade independently measured structures. For example, if the S Parameters are measured independently for a transmission line, via, package and connector, the engineer can create the response of an entire channel from the individual measurements. This allows S-parameter files to be used as portable models, gives the designer the ability to evaluate different topologies, and provides a mechanism to deembed or calibrate out unwanted items in the measurements. The two most common methods of cascading S Parameters are using ABCD Parameters and the T Matrix.