# solution09 - Solution Conversion Loss h m d C L L L L = 1 d...

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Solutions for Problems of Chapter 09 (1) A mixer has a VSWR of 2 at the RF port. Assuming that IF and LO ports are perfectly matched, the reflected power detected at the RF port is –10dBm with the signal at the IF port, -10dBm. What is the conversion loss (in dB) for the mixer shown Figure 18? Solution: 1 1 1 1 + = Γ Γ Γ + = VSWR VSWR VSWR 3 1 2 = Γ = VSWR Input power at RF port mW P P P mW dBm P RF RF r r 9 . 0 9 1 1 . 0 10 2 = = = Γ = = Conversion Loss ) ( 54 . 9 ) )( 1 . 0 9 . 0 ( log 10 ) )( ( log 10 ) ( 10 10 dB dB mW mW dB P P dB L IF RF C = = = (2) A mixer has a VSWR equal to 1.8 at its RF and IF ports. Assuming that the mixer has an intrinsic loss of 3dB with parameters = 1 s R , pF C j 1 = , and = 100 j R , what is the conversion loss at 10GHz?
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Unformatted text preview: Solution: Conversion Loss: h m d C L L L L + + = 1. d L = diode resistance loss ( ) ( ) ) ( 5 . 1 ] 10 1 100 1 10 2 100 1 1 [ log 10 ) 1 ( log 10 2 12 2 10 10 2 2 10 dB C R R R R j j s j s = × × × × × + + = + + = − π ω 2. m L = mismatch loss dB IF RF 74 . ) 286 . 1 ( log 20 )] 1 )( 1 [( log 10 2 10 1 2 2 10 = − − = Γ − Γ − = − 3. h L = intrinsic loss due to the mixing action =3dB Thus: ) ( 24 . 5 3 74 . 5 . 1 dB L L L L h m d C = + + = + + = Figure 18 -10dBm-10dBm Mixer LO RF IF...
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