MAPSK Modulator Baseband
Mary amplitude phase shift keying (APSK) modulation
 Library:
Communications Toolbox / Modulation / Digital Baseband Modulation / APM
Description
The MAPSK Modulator Baseband block modulates the input signal using Mary amplitude phase shift keying (APSK) modulation. The output is a baseband representation of the modulated signal. M, the Modulation Order for MAPSK, equals the sum of the elements in Constellation points per circle. For a description of MAPSK modulation, see Algorithms.
Note
MAPSK Modulator Baseband specifically applies to multiple ring PSK constellations. For a single ring PSK constellation, use MPSK Modulator Baseband.
Ports
Input
Output
Parameters
Model Examples
Block Characteristics
Data Types 

Multidimensional Signals 

VariableSize Signals 

More About
Algorithms
The block implements a pure APSK constellation.
A pure MAPSK constellation is composed of N_{C} concentric rings or contours, each with uniformly spaced PSK points. The MAPSK constellation set is
$$\chi =\{\begin{array}{cc}{R}_{1}\mathrm{exp}\left(j\left(\frac{2\pi}{{M}_{1}}i+{\varphi}_{1}\right)\right),& i=0,\dots ,{M}_{1}1,\\ {R}_{2}\mathrm{exp}\left(j\left(\frac{2\pi}{{M}_{2}}i+{\varphi}_{2}\right)\right),& i=0,\dots ,{M}_{2}1,\\ \vdots & \vdots \\ {R}_{{N}_{\text{C}}}\mathrm{exp}\left(j\left(\frac{2\pi}{{M}_{{N}_{\text{C}}}}i+{\varphi}_{\text{Nc}}\right)\right),& i=0,\dots ,{M}_{{N}_{\text{C}}}1,\end{array}$$
where:
The modulation order is equal to the sum of all M_{l} for l = 1, 2, ... , N_{C}.
N_{C} is the number of concentric rings. N_{C} ≥ 2.
M_{l} is the number of constellation points in the lth ring.
R_{l} is the radius of the lth ring.
ϕ_{l} is the phase offset of the lth ring.
$$j=\sqrt{1}$$
References
[1] Corazza, Giovanni E. Digital Satellite Communications. New York: Springer Science Business Media, LLC, 2007.
[2] Liu, Z., Q. Xie, K. Peng, and Z. Yang. "APSK Constellation with Gray Mapping." IEEE Communications Letters. Vol. 15, Number 12, December 2011, pp. 1271–1273.
Extended Capabilities
Version History
Introduced in R2018b
See Also
Blocks
 MAPSK Demodulator Baseband  DVBSAPSK Modulator Baseband  MIL188 QAM Modulator Baseband  MPSK Modulator Baseband