radio cuts out as if loosing signal then will come back in

Check the connections in the back of the radio, maybe the speaker connections are loose. If the connections are OK, then maybe the radio is failing and needs service or replacement. If that's no help, you could consult an auto electric shop or a Mazda or Ford specialist. If you want to find a specialist, here's a directory link for you: https://repairpal.com/mazda-repair-in-powell-tennessee