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In sort,
Synthesizer is circuit responsible to synthesise the required frequency and it can be any one of the methods given above. it consists all the blocks.
PLL is circuit consisting of PFD, loop filter, VCO and scaling, dividers etc.
With out VCO and filter but the chip company calls as PLL chip (as this circuit is bulk/ cost/ non fesible etc reasons) because it is applicable for this topoloy.
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