# comm.DQPSKDemodulator System object

Package: comm

Demodulate using DQPSK method

## Description

The `DQPSKDemodulator` object demodulates a signal that was modulated using the differential quaternary phase shift keying method. The input is a baseband representation of the modulated signal.

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

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

2. Call `step` to demodulate a signal according to the properties of `DQPSKDemodulator`. The behavior of `step` is specific to each object in the toolbox.

## Construction

`H = comm.DQPSKDemodulator` creates a demodulator System object™, `H`. This object demodulates the input signal using the differential quadrature phase shift keying (DQPSK) method.

`H = comm.DQPSKDemodulator(Name,Value)` creates a DQPSK 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.DQPSKDemodulator(PHASE,Name,Value)` creates a DQPSK demodulator object, `H`. This object has the `PhaseRotation` property set to `PHASE` and the other specified properties set to the specified values.

## Properties

 `PhaseRotation` Additional phase shift Specify the additional phase difference between previous and current modulated symbols in radians as a real scalar. The default is `pi/4`. This value corresponds to the phase difference between previous and current modulated symbols when the input is zero. `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 with length equal to twice the number of demodulated symbols. When you set this property to `false`, the `step` method outputs a column vector, of length equal to the input data vector, that contains integer symbol values between `0` and `3`. `SymbolMapping` Constellation encoding Specify how the object maps an integer or group of 2 bits to the corresponding symbol as one of `Binary` | `Gray`. 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 $0\le m\le 3$ maps to the current symbol as exp(j$×$`PhaseRotation` + j$×$$2×\pi ×m}{4}$)$×$(previously modulated symbol). `OutputDataType` Data type of output Specify the output data type as one of `Full precision` | ```Smallest unsigned integer``` | `double` | `single` | `int8` | `uint8` | `int16` | `uint16` | `int32` | `uint32`. The default is `Full precision`. When you set this property to `Full precision` the output has the same data type as that of the input. In this case, the input data type is single- or double-precision value. When you set the `BitOutput` property to `true`, `logical` data type becomes a valid option.

## Methods

 clone Create DQPSK demodulator object with same property values 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 reset Reset states of DQPSK demodulator object step Demodulate using DQPSK method

## Examples

Modulate and demodulate a signal using DQPSK modulation.

``` hMod = comm.DQPSKModulator(pi/8); hAWGN = comm.AWGNChannel('NoiseMethod', ... 'Signal to noise ratio (SNR)','SNR',15); hDemod = comm.DQPSKDemodulator(pi/8); % Create an error rate calculator, account for the one symbol transient caused by the differential modulation hError = comm.ErrorRate('ComputationDelay',1); for counter = 1:100 % Transmit a 50-symbol frame data = randi([0 3],50,1); modSignal = step(hMod, data); noisySignal = step(hAWGN, modSignal); receivedData = step(hDemod, noisySignal); errorStats = step(hError, data, receivedData); end fprintf('Error rate = %f\nNumber of errors = %d\n', ... errorStats(1), errorStats(2))```

## Algorithms

This object implements the algorithm, inputs, and outputs described on the DQPSK Demodulator Baseband block reference page. The object properties correspond to the block parameters.