Basic mathematics When an antenna is placed in the electric field (antenna in this case can be as simple as a piece of wire), the E-field induces a voltage difference between parts of the antenna that can be measured and amplified For static receiver and antenna the voltage v is V(t=gene GE ark.xo p-12 fi G is gain of antenna. The phase of signal is 2nXo k 02/25/02 12.540Lec06 1302/25/02 12.540 Lec 06 13 Basic mathematics • When an antenna is placed in the electric field (antenna in this case can be as simple as a piece of wire), the E-field induces a voltage difference between parts of the antenna that can be measured and amplified • For static receiver and antenna, the voltage V is • G is gain of antenna. The phase of signal is 2 π x 0.k V ( t ) = GE 0 ei2 πk.x 0 e −iωt = GE 0 ei2 πk.x 0 e −i2 πft