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Noise figrue of lossy passive circuit

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greenjuice

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As you know, under matched condition, noise figure of lossy circuit has L.

But I think its noise figuire is L+1[dB].

Because output noise power of lossy circuit has

not only KTB of matched loaded resistance

but also KTB-L from input source resistance.

Why noise figure of lossy circuit is L?
 

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