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# comm.PSKModulator System object

Package: comm

Modulate using M-ary PSK method

## Description

The PSKModulator object modulates using the M-ary phase shift keying method. The output is a baseband representation of the modulated signal. The M-ary number parameter, M, is the number of points in the signal constellation.

To modulate a signal using phase shift keying:

1. Define and set up your PSK modulator object. See Construction.

2. Call step to modulate the signal according to the properties of comm.PSKModulator. The behavior of step is specific to each object in the toolbox.

## Construction

H = comm.PSKModulator creates a modulator System object™, H. This object modulates the input signal using the M-ary phase shift keying (M-PSK) method.

H = comm.PSKModulator(Name,Value) creates an M-PSK modulator object, H, with each specified property set to the specified value. You can specify additional name-value pair arguments in any order as (Name1,Value1,...,NameN,ValueN).

H = comm.PSKModulator(M,PHASE,Name,Value) creates an M-PSK modulator object, H. This object has the ModulationOrder property set to M, the PhaseOffset property set to PHASE, and the other specified properties set to the specified values.

## Properties

 ModulationOrder Number of points in signal constellation Specify the number of points in the signal constellation as a positive, integer scalar value. The default is 8. PhaseOffset Phase of zeroth point of constellation Specify the phase offset of the zeroth point of the constellation, in radians, as a real scalar value. The default is pi/8. BitInput Assume bit inputs Specify whether the input is bits or integers. When you set this property to true, the step method input must be a column vector of bit values. This vector must have a length that is an integer multiple of log2(ModulationOrder). This vector contains bit representations of integers between 0 and ModulationOrder-1. When you set the BitInput property to false, the step method input must be a column vector of numeric data type integer symbol values. These values must be between 0 and ModulationOrder-1. The default is false. SymbolMapping Constellation encoding Specify how the object maps an integer or group of log2(ModulationOrder) input bits to the corresponding symbol as one of Binary | Gray | Custom. The default is Gray. When you set this property to Gray, the object uses a Gray-encoded signal constellation. When you set this property to Binary, the integer m, between 0 $\le m\le$ModulationOrder–1) maps to the complex value exp(j$×$PhaseOffset + j 2 $\pi$ m/ModulationOrder). When you set this property to Custom, the object uses the signal constellation defined in the CustomSymbolMapping property. CustomSymbolMapping Custom constellation encoding Specify a custom constellation symbol mapping vector. This property requires a row or column vector of size ModulationOrder and must have unique integer values in the range [0, ModulationOrder–1]. The values must be of data type double. The first element of this vector corresponds to the constellation point at an angle of 0 + PhaseOffset, with subsequent elements running counterclockwise. The last element corresponds to the constellation point at an angle of – /ModulationOrder + PhaseOffset. This property applies when you set the SymbolMapping property to Custom. The default is 0:7. OutputDataType Data type of output Specify the output data type as double | single | Custom. The default is double.

## Methods

 clone Create PSK modulator object with same property values constellation Calculate or plot ideal signal constellation getNumInputs Number of expected inputs to step method getNumOutputs Number of outputs from step method isLocked Locked status for input attributes and nontunable properties release Allow property value and input characteristics changes step Modulate using M-ary PSK method

## Examples

Modulate data using 16-PSK modulation, and visualize the data in a scatter plot.

``` % Create binary data for 24, 4-bit symbols
data = randi([0 1],96,1);
% Create a 16-PSK modulator System object with bits as inputs and Gray-coded signal constellation
hModulator = comm.PSKModulator(16,'BitInput',true);
% Change the phase offset to pi/16
hModulator.PhaseOffset = pi/16;
% Modulate and plot the data
modData = step(hModulator, data);
constellation(hModulator)```

## Algorithms

This object implements the algorithm, inputs, and outputs described on the M-PSK Modulator Baseband block reference page. The object properties correspond to the block parameters.