Convolutionally encode binary data and modulate using QAM method
TCM, in Digital Baseband sublibrary of Modulation
The Rectangular QAM TCM Encoder block implements trellis-coded modulation (TCM) by convolutionally encoding the binary input signal and mapping the result to a QAM signal constellation.
The M-ary number parameter is the number of points in the signal constellation, which also equals the number of possible output symbols from the convolutional encoder. (That is, log2(M-ary number) is equal to n for a rate k/n convolutional code.)
If the convolutional encoder described by the trellis structure represents a rate k/n code, then the Rectangular QAM TCM Encoder block's input must be a binary column vector with a length of L*k for some positive integer L.
The output from the Rectangular QAM TCM Encoder block is a complex column vector of length L.
To define the convolutional encoder, use the Trellis structure parameter. This parameter is a MATLAB structure whose format is described in Trellis Description of a Convolutional Code. You can use this parameter field in two ways:
If you want to specify the encoder using its constraint
length, generator polynomials, and possibly feedback connection polynomials,
then use a
within the Trellis structure field. For example,
to use an encoder with a constraint length of 7, code generator polynomials
of 171 and 133 (in octal numbers), and a feedback connection of 171
(in octal), set the Trellis structure parameter
If you have a variable in the MATLAB workspace that contains the trellis structure, then enter its name as the Trellis structure parameter. This way is faster because it causes Simulink to spend less time updating the diagram at the beginning of each simulation, compared to the usage in the previous bulleted item.
The encoder registers begin in the all-zeros state. You can
configure the encoder so that it resets its registers to the all-zeros
state during the course of the simulation. To do this, set the
mode to Reset on nonzero input via port.
The block then opens a second input port, labeled
The signal at the
Rst port is a scalar signal.
When it is nonzero, the encoder resets before processing the data
at the first input port.
The trellis-coded modulation technique partitions the constellation into subsets called cosets, so as to maximize the minimum distance between pairs of points in each coset. This block internally forms a valid partition based on the value you choose for the M-ary number parameter.
The figures below show the labeled set-partitioned signal constellations
that the block uses when M-ary number is
64. For constellations of other sizes, see
Biglieri, E., D. Divsalar, P. J. McLane and M. K. Simon, Introduction
to Trellis-Coded Modulation with Applications, New York,
Coding gains of 3 to 6 decibels, relative to the uncoded case can be achieved in the presence of AWGN with multiphase trellis codes. For more information, see Biglieri, E., D. Divsalar, P. J. McLane and M. K. Simon, Introduction to Trellis-Coded Modulation with Applications, New York, Macmillan, 1991.
MATLAB structure that contains the trellis description of the convolutional encoder.
Continuous mode (default setting),
the block retains the encoder states at the end of each frame, for
use with the next frame.
Truncated (reset every frame) mode,
the block treats each frame independently. I.e., the encoder states
are reset to all-zeros state at the start of each frame.
Terminate trellis by appending bits mode,
the block treats each frame independently. For each input frame, extra
bits are used to set the encoder states to all-zeros state at the
end of the frame. The output length is given by , where x is
the number of input bits, and (or,
in the case of multiple constraint lengths, s =
The block supports this mode for column vector input signals.
Reset on nonzero input via port mode,
the block has an additional input port, labeled
Rst input is nonzero, the encoder resets
to the all-zeros state.
The number of points in the signal constellation.
The output type of the block can be specified as a
By default, the block sets this to
 Biglieri, E., D. Divsalar, P. J. McLane and M. K. Simon, Introduction to Trellis-Coded Modulation with Applications, New York, Macmillan, 1991.
 Proakis, John G., Digital Communications, Fourth edition, New York, McGraw-Hill, 2001
 Ungerboeck, G., “Channel Coding with Multilevel/Phase Signals”, IEEE Trans. on Information Theory, Vol IT28, Jan. 1982, pp. 55–67.