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I would like that you check with me the placement of this TXB0104 (without ground plane under the package) in order to understand if can cause any malfunction of the device.
Regards
dtlugi,
A split ground plane will not result in a device malfunction, but it will hurt signal integrity and reduce TXB0104 performance (e.g. reduces the maximum data-rate that can be supported without signal distortion).
My recommendation is to maintain a solid ground plane underneath the TXB0104.
You can read the app note below for more information on PCB layout.
The relavant portion of the app note is shown below.
Best Regards,
Nirav