amplifier hum

I could use some advice on how to get rid of what is apparently RFI induced
amplifier hum. The facts of the case:

two amplifiers 1. Marshall practice amp and 2. Fender Hot Rod Deluxe both
exhibit the same hum

the hum only appears when a cable is plugged into the input jack on an amp.
The hum is there whether a guitar is plugged into the other end of the cable
or not. It changes a bit when a guitar is plugged in but I assume that's
because I've changed the characteristics of the antenna.

I've plugged the practice amp into several different circuits in the house
and the hum is there in every circuit.

three different cables (Monster, Fender, cheapo) all produce hum (the cheapo
is by far the worst).

there is a cell phone tower right next door.

the hum gets worse when I hold the cable in the air and aim it (sort of like
aiming a rabbit ears on a tv).

Is there a supershielded cable I can try to fix the problem?

Is there something else I can do?

thanks for any help anyone can offer.

Tom Reese


.

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