i got a 97 3.0cl with the stock bose system

i have an aftermarket kenwood deck and a 15" sub in the trunk

basically, when i turn the audio system on sometimes all the speakers work but they usually all cut in and out..

the subs never cut out

most of the time the interiors cut out when the bass hits (ive disconnected the subs, and it still cuts out to the bass)

sometimes i turn the audio on and it works perfectly for 20 minutes or so and then eventually the speakers will go in and out

also when the speakers cut out, you hear a steady poping/clicking sound coming out the speakers..

when i turn the engine off, 99% of the time the interiors do not work..

has anyone had any similar problems, or possibly a solution to my problem?