anushaas
Member level 5
Hi,
My circuit has a Gain phase detector that generates two output voltages, VMAG and VPHS which is related to the magnitude ratio and phase difference of the
input signals (VA1 and VA2 ) by the transfer function:
The magnitude ratio, |Z| and phase difference, θ can be obtained from the transfer functions as:
The magnitude ratio is actually the ratio of unknown impedance (Zx) and a known resistor R such that |Zx| can be calculated from magnitude ratio equation above.
Now the Zx is calibrated using a quadratic curve such that,
where ZT is the calibrated reading.
Now ,my question is how do we analyse, how the uncertainty of the nominal coefficients K1 and K2 propagates on the computed impedance Zx and ZT?
My circuit has a Gain phase detector that generates two output voltages, VMAG and VPHS which is related to the magnitude ratio and phase difference of the
input signals (VA1 and VA2 ) by the transfer function:
The magnitude ratio, |Z| and phase difference, θ can be obtained from the transfer functions as:
The magnitude ratio is actually the ratio of unknown impedance (Zx) and a known resistor R such that |Zx| can be calculated from magnitude ratio equation above.
Now the Zx is calibrated using a quadratic curve such that,
where ZT is the calibrated reading.
Now ,my question is how do we analyse, how the uncertainty of the nominal coefficients K1 and K2 propagates on the computed impedance Zx and ZT?
