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Impedence transformation

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ravet

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Hello

in michael perot lectures, he said:
"Since VCO operates over a very narrow band of
frequencies, we can always do series to parallel
transformations to achieve a parallel network for
analysis"

why??, in rf microelectronics book of razavi, page 51, he discuss impedence transformation, but i didnt realize why narrow band condition????
 

because high Q?
 

    R

    ravet

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Yes, because Q=ω*L/R and only when Q>>1, Ls=Lp. If frequency varies in very large range. High Q would not be true.
 

    R

    ravet

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I think it is because ω*L/R should be a value typically greater than 3 for nonolithic inductors, and this can only be satisfied by a narrow band of frequencies.

Regards,
Cherry
 

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