Source (coil) impedance, Z_{coil}:

+ j
Ω

Output impedance, Z_{out}:

+ j
Ω

Amplifier input impedance, Z_{amp}:

+ j
Ω

Optional 4th element:

Frequency:
Hz

Number of decimals:

Noise matching of any impedance to any impedance. Fill in the fields above, select the type of impedance and press calculate.

Calculate for :

Input impedance, Z_{in} =

The designed here network transforms the source (coil) impedance, Z_{coil}, to the optimal noise impedance of
the amplifier Z_{n,opt}=Z_{out} and, at the same time, it transforms the amplifier input impedance, Z_{amp}, to the optimal
decoupling impedance Z_{in} (high or low), presented to the terminals of the source (coil).

"High impedance" option will design network with highest possible Z_{in} providing maximum decoupling for conventional
wire loop coils and series resonance ciols (R_{in}>R_{coil}).

"Low impedance" option will design network with lowest possible Z_{in} providing decoupling for parallel resonance ciols,
such as coaxial coils, shielded coils, high impedance coils (R_{coil}>R_{in}).

Designed matching network

Z_{amp}

Z_{coil}

Z_{in}

Z_{out}

Calculations are based on the equations from the publication below. If you use this calculator, credit must be given by referencing rftoolbox.dtu.dk
and the journal paper:
*Wenjun Wang, Vitaliy Zhurbenko, Juan Diego Sánchez-Heredia, Jan. H. Ardenkjær-Larsen, “Trade-off between preamplifier noise figure and decoupling
in MRI detectors,” Magnetic Resonance in Medicine, Volume 89, Issue 2, October 2022, pp. 859-871.*