Polar modulation
| Passbandmodulation |
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| Analog modulation |
| Digital modulation |
| Hierarchical modulation |
| Spread spectrum |
| See also |
Polar modulationis analogous toquadrature modulationin the same way thatpolar coordinatesare analogous toCartesian coordinates.Quadrature modulation makes use of Cartesian coordinates,xandy.When considering quadrature modulation, thexaxis is called theI(in-phase) axis, and theyaxis is called theQ(quadrature) axis. Polar modulation makes use of polar coordinates,r(amplitude) andΘ(phase).
The quadrature modulator approach todigital radiotransmission requires alinearRF power amplifierwhich creates a design conflict between improving power efficiency or maintaining amplifier linearity. Compromising linearity causes degraded signal quality, usually by adjacent channel degradation, which can be a fundamental factor in limiting network performance and capacity. Additional problems with linear RF power amplifiers, including device parametric restrictions, temperature instability, power control accuracy, wideband noise and production yields are also common. On the other hand, compromising power efficiency increases power consumption (which reduces battery life in handheld devices) and generates more heat.
The issue of linearity in a power amplifier can theoretically be mitigated by requiring that the input signal of the power amplifier be "constant envelope",i.e. contain no amplitude variations. In a polar modulation system, the power amplifier input signal may vary only in phase. Amplitude modulation is then accomplished by directly controlling the gain of the power amplifier through changing or modulating its supply voltage. Thus a polar modulation system allows the use of highlynon-linear power amplifier architecturessuch asClass EandClass F.
In order to create the polar signal, the phase transfer of the amplifier must be known over at least a 17 dB amplitude range. As thephase transitionsfrom one to another, there will be an amplitude perturbation that can be calculated during the transition as,
where n is the number of samples of I and Q and should be sufficiently large to allow an accurate tracing of the signal. One hundred samples per symbol would be about the lowest number that is workable.
Now that the amplitude change of the signal is known, the phase error introduced by the amplifier at each amplitude change can be used to pre-distort the signal. One simply subtracts the phase error at each amplitude from the modulating I and Q signals.
History
[edit]Polar modulation was originally developed byThomas Edisonin his 1874quadruplex telegraph– this allowed 4 signals to be sent along a pair of lines, 2 in each direction. Sending a signal in each direction had already been accomplished earlier, and Edison found that by combining amplitude and phase modulation (i.e., by polar modulation), he could double this to 4 signals – hence, quadruplex.