How do those methods generate a 90° shift? Any approach that uses the edges of the signal will generally be changing states at 0° or 180°..........I can think of a number of ways of doing it - phase-locked loop, digital counter, shift register etc.
Simple solution is to use a frequency doubler and D-flip-flops.
What kind of resolution do you need?
OK, that would work if you use a phase detector with 0° phase-shift at lock, such as the Type II detector in the CD4046. Then you use a divide by 2 counter clocked at the falling edge of the doubled signal to get the shift. You would need to also reset the counter at the rising edge of the input signal to insure that the delay is 90° and not 270°.I would use a PLL to generate a square wave that is x2 the signal frequency.
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