External Pull-up resistor value for ADSP-21364 DAI_Px pin


We have a digital signal going directory from a logic gate(74LVC1G02) into the DAI_P18 pin of a ADSP-21364.  We are using the falling and rising edges of the signal to trigger interrupts to get the time of different events.  We are noticing extra pulses where they are not suppose to occur and we suspect noise is causing the issues. 

When we disable the internal pull-up, the problem gets worse; so we are going to try adding an external pull-up in parallel to the internal pull-up.  I read somewhere that the 22.5k internal pull-up is considered weak pull-up.  What would be a good value to choose? 



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