The stated problem is that at the place he usually camps, he has marginal reception. If that is the problem he's trying to solve, an amplifier with an antenna mounted higher will help.
If you mean amplifying the
transmission of the cell phone; its signal will travel farther and will reach a cell tower. But you will never know it did, as the cell phone receiver still will not receive the distant cell tower.
If the cell phone
transmission is amplified, the amplifier and antenna would need to be away from the cell phone after a longish
TX output only coaxial cable as the increased signal emitted would deafen the receiver duplexer which is not designed to reject higher levels of RF.
To use a true repeater, would need to be in the band(s) both the phone and the tower operate, and
located half way between, with electrical power supply and substantial $
And would say two full duplex repeaters would be needed. The FCC will not like it:
Your cell phone transmits in frequency A ---> repeater 1 receives A and transmits in frequency B
Repeater 2 receives in frequency B and transmits frequency A ---> to the tower, as the cell phone intended.
Same process from the cell tower back to the cell phone via repeaters 2 and 1, with frequencies C and D.
And there is a huge microprocessed complexity for choosing vacant channels.
An external antenna with gain and directionality placed at a higher point would need a monster of low-loss coaxial cable to work and tapping the duplexer if there is no external connector on the cell phone.