PWM Hardware specification

I've got a very specific application, where I must to generate a 200 ~ 250 kHz PWM signal with a 16-bit duty cycle resolution.
My question is, how can I find the best hardware specification for it? I never worked with ARM before, only with PIC MCU's.

I was reading some data-sheets but they're not clear to me wether the resolution decreases according to the ClockFreq / PWMFreq relation or if it remains the same.

Can someone give me a direction, please?