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Modulate using M-ary DPSK method


The DPSKModulator object modulates using the M-ary differential phase shift keying method. The output is a baseband representation of the modulated signal.

To modulate a signal using differential phase shift keying:

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

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


Starting in R2016b, instead of using the step method to perform the operation defined by the System object™, you can call the object with arguments, as if it were a function. For example, y = step(obj,x) and y = obj(x) perform equivalent operations.


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

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



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.


Additional phase shift

Specify the additional phase difference between previous and current modulated symbols in radians as a real scalar value. The default is pi/8. This value corresponds to the phase difference between previous and current modulated symbols when the input is zero.


Assume bit inputs

Specify whether the input is bits or integers. The default is false. When you set this property to true, the step method input must be a column vector of bit values whose length is an integer multiple of log2(ModulationOrder). This vector contains bit representations of integers between 0 and ModulationOrder1. When you set this property to false, the step method input requires a column vector of integer symbol values between 0 and ModulationOrder1.


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. 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 input integer m, between (0m ModulationOrder–1) shifts the output phase. This shift is (PhaseRotation + 2×π×m/ModulationOrder) radians from the previous output phase. The output symbol uses exp(j×PhaseRotation + j×2×π×m/ModulationOrder)×(previously modulated symbol).


Data type of output

Specify output data type as one of double | single. The default is double.


stepModulate using M-ary DPSK method
Common to All System Objects

Allow System object property value changes


Reset internal states of System object


collapse all

Create a DPSK modulator and demodulator pair. Create an AWGN channel object having three bits per symbol.

dpskmod = comm.DPSKModulator(8,pi/8,'BitInput',true);
dpskdemod = comm.DPSKDemodulator(8,pi/8,'BitOutput',true);
channel = comm.AWGNChannel('EbNo',10,'BitsPerSymbol',3);

Create an error rate calculator. Set the ComputationDelay property to 1 to account for the one bit transient caused by the differential modulation

errorRate = comm.ErrorRate('ComputationDelay',1);

Main processing loop steps:

  • Generate 50 3-bit frames

  • 8-DPSK modulate

  • Pass through AWGN channel

  • 8-DPSK demodulate

  • Collect error statistics

for counter = 1:100
    txData = randi([0 1],150,1);
    modSig = dpskmod(txData);
    rxSig = channel(modSig);
    rxData = dpskdemod(rxSig);
    errorStats = errorRate(txData,rxData);

Display the error statistics.

ber = errorStats(1)
ber = 0.0098
numErrors = errorStats(2)
numErrors = 147
numBits = errorStats(3)
numBits = 14999


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

Extended Capabilities

Version History

Introduced in R2012a