You don't say whether the TV is running on the inverter when you have trouble or whether the inverter is interfering with the TV running on another supply.
I have no idea what inverter you have, but some TVs are not really happy running on MSW inverters and there's not much you can do about it. others work without the slightest trouble.
There can be other effects with an inverter too close to the TV but if it is a few feet away that should present no trouble. Sometimes altering the position may make an improvement if the trouble is from magnetic fields.
In the old days here in the UK the TV frame frequency was locked to the grid frequency and some of the TVs of the time gave rolling hum bars when run from an alternator not locked to grid frequency. I haven't seen this problem for years as TVs have improved enormously, but it may be that part of the trouble with MSW inverters comes from a beat between the inverter nominal frequency and the TV frame frequency.
I don't watch TV so I can't help much but you may find solving the problem tricky.
Flux
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