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So I am solving receiver figure of merit. I have gain in dB and noise temperature in K.

I know

[G/T] = [G] - [T] dB/K

Here should I need to take T in dB or just as K?

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The relationship [G/T] = [G]-[T] dB/K is incorrect.

G/T when in units are already given in dB/K is simply the gain in dB divided by the temperature in K.

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