Common-Source JFET noise

[[email protected]]

Hi,

Is the voltage output noise of a Common-Source JFET amp circuit equal
to the JFET's voltage noise density (nV/SqrHz)? If not, then may I ask
what the equation is?

Thanks,
Paul

 

[Andrew Holme]

Hi,

Is the voltage output noise of a Common-Source JFET amp circuit equal
to the JFET's voltage noise density (nV/SqrHz)? If not, then may I ask
what the equation is?

Thanks,
Paul

The voltage noise density in nV/sqrt(Hz) is referenced to the input, so you
need to multiply by the stage voltage gain e.g. gm*Rd

 

[[email protected]]

The voltage noise density in nV/sqrt(Hz) is referenced to the input, so you
need to multiply by the stage voltage gain e.g. gm*Rd

Thanks,
That's in reference to R (resistance) and not reactance, right? So if I
only have 22 ohms resistance and 70000 ohms reactance and gain of 100
then the total output voltage noise would equal thermal noise of the 22
ohm resister, which would be

Vn = sqrt(4 k T B 22) * 100 = 60 nV/SqrtHz

Darn, that's noisier than I thought it would be.

Paul

 

[[email protected]]

Thanks,
That's in reference to R (resistance) and not reactance, right? So if I
only have 22 ohms resistance and 70000 ohms reactance and gain of 100
then the total output voltage noise would equal thermal noise of the 22
ohm resister, which would be

Vn = sqrt(4 k T B 22) * 100 = 60 nV/SqrtHz

Darn, that's noisier than I thought it would be.

OK, assuming my above calculated 60nV/SqrtHz noise is correct, that's
amplified noise from the source resistance (not reactance), but what
about the JFET's noise? If it's 1 nV/SqrtHz then is that also
amplified?

Thanks,
Paul

 

[Andrew Holme]

Thanks,
That's in reference to R (resistance) and not reactance, right? So if I
only have 22 ohms resistance and 70000 ohms reactance and gain of 100
then the total output voltage noise would equal thermal noise of the 22
ohm resister, which would be

Vn = sqrt(4 k T B 22) * 100 = 60 nV/SqrtHz

Darn, that's noisier than I thought it would be.

Paul

The reactance doesn't contribute noise.

Originally, I thought you were talking about the equivalent input noise
voltage of the JFET itself, as quoted on the manufacturer's datasheet. This
will contribute more noise than your 22-ohm resistor. For a 2N3819 it's
about 6nV/sqrt(Hz).

Input noise due to 22-ohm resistor = 0.6e-9
e_n for JFET = 6e-9

Total input noise = sqrt(0.6*0.6 + 6*6) = 6.03 nV/sqrt(Hz)

Ouput noise = 603 nV/sqrt(Hz)