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2GHz PWM or VFC

Anybody can help with a reference design for a PWM or VCF runing at 1GHz or 2 GHz (with a minimum pulse width of 500ps and respectively 250ps, or 25% duty cycle).

User modulation signal is in range of DC to 500MHz, and preferably < 2Vpp.

There are old VFC integrated circuits but the output  below 1Mhz.

Is it possible to use modulator chips in PWM or VCF mode?

Thank you.