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Notice that corresponds to the 16QAM uniform constellation, where the strong bits are the standard bits of QPSK modulation, however their coverage is less than the QPSK.
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The method uses a non-uniform constellation design in which the most important layer data is encoded to constellation points that are farther apart from each other than the points to which the less important layer data are encoded.
3 In the case of non-uniform energy constellation, like QAM, (mathcal {J} k,varepsilon)) will be determined for each energy level and then minimized over all the levels.
The transmitted symbols vector is an i.i.d sequence with uniform distribution over an arbitrary constellation of size.
All GPS satellites' ephemerides can employ a uniform parameter, as the GPS constellation consisted of only MEO satellites.
Each a k, n is randomly chosen within BPSK, QPSK, 16-QAM, and 64-QAM constellations according to a uniform law.
Figure 21 NMSE of the proposed method in the case of uniform and non-uniform repartition of the constellations.
According to the principle of maximum entropy [36], the state of ignorance on the constellation distribution is here modeled by an uniform law.
To facilitate the operational capability for weather forecast and space weather monitoring, the FORMOSAT-7 constellation must be designed to ensure a sufficient and uniform distribution in space and time for GNSS/RNSS/SBAS RO events.
In particular, we characterize the capacity region when the input signal is fixed to finite constellations, e.g., PSK, QAM, and so on, with a uniform input distribution, which are widely used in current real cellular networks.
Moreover, it can be shown that the conventional square -QAM constellations (with ) can be transformed by (19) into the conventional uniform -PAM.
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