reflection_coefficient

Builtin index · Signal processing

result = reflection_coefficient(z, [z0=50])

Input: z, z0 · Output: result

What it is

z: an impedance — real or complex, scalar or vector (ohms); z0 (optional number, default 50): the real reference impedance.

Overloads

One call shape — this function is not overloaded.

Code	Input	Output	Description
`result = reflection_coefficient(z, [z0=50])`	`z` scalar or vector`z`: an impedance — real or complex, scalar or vector (ohms). `z0` number, optional (default `50`)`z0` (optional number, default 50): the real reference impedance.	`result` —	Returns `Γ = (z - z0)/(z + z0)`, complex. Errors at `z = -z0`, where `Γ` is genuinely undefined rather than merely large (impossible for a passive load).

Examples

From the documentation, and run by the build -- the output and the figure below are what the engine actually produced. Simplest first.

g = reflection_coefficient(100)         # 100 ohm on a 50 ohm line

print("gamma = {g}")                     # 0.333333

print("VSWR  = {vswr(g)}")                # 2

print("RL    = {return_loss(g)} dB")      # 9.542425


swept = reflection_coefficient([50, 100, 0, 25])
print("VSWR swept = {vswr(swept)}")       # [1, 2, inf, 2]  -- the short is inf


smith([50, 100, 25], z0=50)               # same arithmetic, drawn

output

gamma = 0.333333
VSWR  = 2
RL    = 9.542425 dB
VSWR swept = [1, 2, inf, 2]

from signal-processing