Discussion
What limits how far a multiplier chain can be extended?
Answer: A
Each stage needs filtering to reject unwanted harmonics, and any phase noise or spurious content is multiplied along with the wanted signal, so a long chain becomes both bulky and noisy. That is the practical ceiling on the indirect method. Crystal stability improves the result rather than limiting the chain. Audio bandwidth plays no part in the radio-frequency chain. And the receiver's architecture is irrelevant to a transmitter design decision.
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