relationship of receiver noise figure to Antenna and duplexer gain

Hi all, I have question about the receiver noise figure. If I have a rx antenna with 6dBi gain, and the duplexer with 2dB loss cascaded after the antenna. Then what's the output noise power at antenna output and duplexer output, suppose that all interface are conjugate match. If I need to caculate the receiver the noise figure, then what's the noise figure now with this antenna and duplexer. According my understanding, both the output noise power after antenna and duplexer are KTB. And the noise figure should be 2dB due to loss of duplexer. And I think antenna gain doesn't have effect on the noise power output of antenna. it always be KTB? Am I right?

Try the following link.

http://www.rfcafe.com/references/cal...calculator.htm

http://www.rfcafe.com/references/ele...ise-figure.htm