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# comm.PSKDemodulator System object

Package: comm

Demodulate using M-ary PSK method

## Description

The PSKDemodulator object demodulates an input signal using the M-ary phase shift keying (M-PSK) method.

To demodulate a signal that was modulated using phase shift keying:

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

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

## Construction

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

H = comm.PSKDemodulator(Name,Value) creates an M-PSK demodulator 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.PSKDemodulator(M,PHASE,Name,Value) creates an M-PSK demodulator 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. M and PHASE are value-only arguments. To specify a value-only argument, you must also specify all preceding value-only arguments. You can specify name-value pair arguments in any order.

## 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. BitOutput Output data as bits Specify whether the output consists of groups of bits or integer symbol values. The default is false. When you set this property to true, the step method outputs a column vector of bit values. The length of this vector equals log2(ModulationOrder) times the number of demodulated symbols. When you set this property to false, the step method outputs a column vector with a length equal to the input data vector. This vector contains integer symbol values between 0 and ModulationOrder-1. SymbolMapping Constellation encoding Specify how the object maps an integer or group of log2(ModulationOrder) bits to the corresponding symbol. Choose from 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$×$2$×$$\pi$$×$m/ModulationOrder). When you set this property to Custom, the object uses the signal constellation defined in the CustomSymbolMapping property. CustomSymbolMapping Custom constellation encoding Specify a custom constellation symbol mapping vector. The default is 0:7. This property requires a row or column vector with a size of ModulationOrder. This vector must have unique integer values in the range [0, ModulationOrder–1]. The values must be of data type double. The first element of this vector corresponds to the constellation point at an angle of 0 + PhaseOffset, with subsequent elements running counterclockwise. The last element corresponds to the constellation point at an angle of –$\pi$/ModulationOrder + PhaseOffset. This property applies when you set the SymbolMapping property to Custom. DecisionMethod Demodulation decision method Specify the decision method the object uses as Hard decision | Log-likelihood ratio | Approximate log-likelihood ratio. The default is Hard decision. When you set the BitOutput property to false, the object always performs hard decision demodulation. This property applies when you set the BitOutput property to true. VarianceSource Source of noise variance Specify the source of the noise variance as one of Property | Input port. The default is Property. This property applies when you set the BitOutput property to true and the DecisionMethod property to Log-likelihood ratio or Approximate log-likelihood ratio. Variance Noise variance Specify the variance of the noise as a positive, real scalar value. The default is 1. If this value is very small (i.e., SNR is very high), log-likelihood ratio (LLR) computations may yield Inf or –Inf. This result occurs because the LLR algorithm computes the exponential of very large or very small numbers using finite-precision arithmetic. In such cases, use approximate LLR instead because the algorithm for that option does not compute exponentials. This property applies when you set the BitOutput property to true, the DecisionMethod property to Log-likelihood ratio, or Approximate log-likelihood ratio, and the VarianceSource property to Property. This property is tunable. OutputDataType Data type of output Specify the output data type as Full precision | Smallest unsigned integer | double | single | int8 | uint8 | int16 | uint16 | int32 | uint32. The default is Full precision. This property applies when you set the BitOutput property to false. It also applies when you set the BitOutput property to true and the DecisionMethod property to Hard decision. In this second case, when the OutputDataType property is set to Full precision, the input data type is single- or double-precision, the output data has the same data type as the input. . When the input data is of a fixed-point type, the output data type behaves as if you had set the OutputDataType property to Smallest unsigned integer. When you set BitOutput to true and the DecisionMethod property to Hard Decision, then logical data type becomes a valid option. If you set the BitOutput property to true and the DecisionMethod property to Log-likelihood ratio or Approximate log-likelihood ratio, the output data has the same data type as the input. In this case, the data type must be single- or double-precision.

## Methods

 clone Create PSK demodulator 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 Demodulate using M-ary PSK method

## Examples

Modulate and demodulate a signal using 16-PSK modulation.

``` hMod = comm.PSKModulator(16, 'PhaseOffset',pi/16);
hAWGN = comm.AWGNChannel('NoiseMethod', ...
'Signal to noise ratio (SNR)','SNR',15);
hDemod = comm.PSKDemodulator(16, 'PhaseOffset',pi/16);
%Create an error rate calculator
hError = comm.ErrorRate;
for counter = 1:100
% Transmit a 50-symbol frame
data = randi([0 hMod.ModulationOrder-1],50,1);
modSignal = step(hMod, data);
noisySignal = step(hAWGN, modSignal);