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  2. Quadrature amplitude modulation - Wikipedia

    en.wikipedia.org/.../Quadrature_amplitude_modulation

    Digital 16-QAM with example symbols Constellation points for 4-QAM, 16-QAM, 32-QAM, and 64-QAM overlapped. As in many digital modulation schemes, the constellation diagram is useful for QAM. In QAM, the constellation points are usually arranged in a square grid with equal vertical and horizontal spacing, although other configurations are ...

  3. Amplitude and phase-shift keying - Wikipedia

    en.wikipedia.org/wiki/Amplitude_and_phase-shift...

    The advantage of APSK over conventional QAM is a lower number of possible amplitude levels and therefore a lower peak-to-average power ratio (PAPR). [2] The resilience of APSK to amplifier and channel non-linearities afforded by its low PAPR have made it especially attractive for satellite communications, including DVB-S2 .

  4. Differential coding - Wikipedia

    en.wikipedia.org/wiki/Differential_coding

    A block diagram representation of a differential encoder. Note that the output is dependent on both the current and previous register state. Another type of differential decoder. A method illustrated above can deal with a data stream inversion (it is called 180° ambiguity).

  5. Gray code - Wikipedia

    en.wikipedia.org/wiki/Gray_code

    A Gray-coded constellation diagram for rectangular 16-QAM. Two-dimensional Gray codes are used in communication to minimize the number of bit errors in quadrature amplitude modulation (QAM) adjacent points in the constellation. In a typical encoding the horizontal and vertical adjacent constellation points differ by a single bit, and diagonal ...

  6. In-phase and quadrature components - Wikipedia

    en.wikipedia.org/wiki/In-phase_and_quadrature...

    The phase modulation (φ(t), not shown) is a non-linearly increasing function from 0 to π /2 over the interval 0 < t < 16. The two amplitude-modulated components are known as the in-phase component (I, thin blue, decreasing) and the quadrature component (Q, thin red, increasing).

  7. Constellation diagram - Wikipedia

    en.wikipedia.org/wiki/Constellation_diagram

    A diagram with four points, for example, represents a modulation scheme that can separately encode all 4 combinations of two bits: 00, 01, 10, and 11, and so can transmit two bits per symbol. Thus in general a modulation with N {\displaystyle N} constellation points transmits log 2 ⁡ N {\displaystyle \log _{2}N} bits per symbol.

  8. Error vector magnitude - Wikipedia

    en.wikipedia.org/wiki/Error_Vector_Magnitude

    For many common constellations including BPSK, QPSK, and 8PSK, these two methods for finding the reference give the same result, but for higher-order QAM constellations including 16QAM, Star 32QAM, 32APSK, and 64QAM the RMS average and the maximum produce different reference values.

  9. Constellation shaping - Wikipedia

    en.wikipedia.org/wiki/Constellation_shaping

    Constellation shaping is an energy efficiency enhancement method for digital signal modulation that improves upon amplitude and phase-shift keying (APSK) and conventional quadrature amplitude modulation (QAM) by modifying the continuous uniform distribution of the data symbols to match the channel.