comm.MSKDemodulator

Demodulate using MSK method and the Viterbi algorithm

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Description

The comm.MSKDemodulator object demodulates a signal that was modulated using the minimum shift keying method. The object expects the input signal to be a baseband representation of a coherent modulated signal with no precoding. The initial phase offset property sets the initial phase of the modulated waveform.

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

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

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

Note

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.

Construction

H = comm.MSKDemodulator creates a demodulator System object, H. This object demodulates the input minimum shift keying (MSK) modulated data using the Viterbi algorithm.

H = comm.MSKDemodulator(Name,Value) creates an MSK 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).

Properties

BitOutput

Output data as bits

Specify whether the output consists of groups of bits or integer values. The default is false.

When you set this property to false, the step method outputs a column vector with a length equal to N/SamplesPerSymbol. N represents the length of the input signal, which is the number of input baseband modulated symbols. The elements of the output vector are -1 or 1.

When you set the BitOutput property to true, the step method outputs a binary column vector with a length equal to N/SamplesPerSymbol. The vector elements are bit values of 0 or 1.

InitialPhaseOffset

Initial phase offset

Specify the initial phase offset of the input modulated waveform in radians as a real, numeric scalar value. The default is 0.

SamplesPerSymbol

Number of samples per input symbol

Specify the expected number of samples per input symbol as a positive, integer scalar value. The default is 8.

TracebackDepth

Traceback depth for Viterbi algorithm

Specify the number of trellis branches that the Viterbi algorithm uses to construct each traceback path as a positive, integer scalar value. The default is 16. The value of this property is also the output delay This value indicates number of zero symbols that precede the first meaningful demodulated symbol in the output.

OutputDataType

Data type of output

Specify the output data type as one of int8 | int16 | int32 | double, when you set the BitOutput property to false. The default is double.

When you set the BitOutput property to true, specify the output data type as one of logical | double.

Methods

resetReset states of the MSK demodulator object
stepDemodulate using MSK method and the Viterbi algorithm
Common to All System Objects
release

Allow System object property value changes

Examples

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Open Live Script
% Create an MSK modulator, an AWGN channel, and an MSK demodulator.  Use a
% phase offset of pi/4.
 hMod = comm.MSKModulator('BitInput', true, ...
                    'InitialPhaseOffset', pi/4);
    hAWGN = comm.AWGNChannel('NoiseMethod', ...
                    'Signal to noise ratio (SNR)','SNR',0);
    hDemod = comm.MSKDemodulator('BitOutput', true, ...
                    'InitialPhaseOffset', pi/4);
 % Create an error rate calculator, account for the delay caused by the Viterbi algorithm
    hError = comm.ErrorRate('ReceiveDelay', hDemod.TracebackDepth);
    for counter = 1:100
      % Transmit 100 3-bit words
      data = randi([0 1],300,1);
      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))
Error rate = 0.000000
Number of errors = 0
Open Live Script

This example illustrates the mapping of binary sequences of zeros and ones to the output of a GMSK modulator. The relationship also applies for MSK modulation.

Create a GMSK modulator that accepts binary inputs. Specify the pulse length and samples per symbol to be 1.

gmsk = comm.GMSKModulator('BitInput',true,'PulseLength',1,'SamplesPerSymbol',1);

Create an input sequence of all zeros. Modulate the sequence.

x = zeros(5,1);
y = gmsk(x)
y = 5×1 complex

   1.0000 + 0.0000i
  -0.0000 - 1.0000i
  -1.0000 + 0.0000i
   0.0000 + 1.0000i
   1.0000 - 0.0000i

Determine the phase angle for each point. Use the unwrap function to better show the trend.

theta = unwrap(angle(y))
theta = 5×1

         0
   -1.5708
   -3.1416
   -4.7124
   -6.2832

A sequence of zeros causes the phase to shift by -π/2 between samples.

Reset the modulator. Modulate an input sequence of all ones.

reset(gmsk)
x = ones(5,1);
y = gmsk(x)
y = 5×1 complex

   1.0000 + 0.0000i
  -0.0000 + 1.0000i
  -1.0000 - 0.0000i
   0.0000 - 1.0000i
   1.0000 + 0.0000i

Determine the phase angle for each point. Use the unwrap function to better show the trend.

theta = unwrap(angle(y))
theta = 5×1

         0
    1.5708
    3.1416
    4.7124
    6.2832

A sequence of ones causes the phase to shift by +π/2 between samples.

Algorithms

This object implements the algorithm, inputs, and outputs described on the MSK Demodulator Baseband block reference page. The object properties correspond to the block parameters. For MSK the phase shift per symbol is π/2, which is a modulation index of 0.5.

Extended Capabilities

See Also

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Introduced in R2012a

Communications Toolbox Documentation

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