Rectangular QAM TCM Decoder
Decode trelliscoded modulation data, modulated using QAM method
Library
TCM, in Digital Baseband sublibrary of Modulation
Description
The Rectangular QAM TCM Decoder block uses the Viterbi algorithm to decode a trelliscoded modulation (TCM) signal that was previously modulated using a QAM signal constellation.
The Mary number parameter represents the number of points in the signal constellation, which also equals the number of possible output symbols from the convolutional encoder. (That is, log_{2}(Mary number) is the number of output bit streams from the convolutional encoder.)
The Trellis structure and Mary number parameters in this block should match those in the Rectangular QAM TCM Encoder block, to ensure proper decoding.
Input and Output Signals
This block accepts a column vector input signal containing complex numbers. For information about the data types each block port supports, see Supported Data Types.
If the convolutional encoder described by the trellis structure represents a rate k/n code, then the Rectangular QAM TCM Decoder block's output is a binary column vector with a length of k times the vector length of the input signal.
Operation Modes
The block has three possible methods for transitioning between successive frames. The Operation mode parameter controls which method the block uses. This parameter also affects the range of possible values for the Traceback depth parameter, D.
In
Continuous
mode, the block initializes all state metrics to zero at the beginning of the simulation, waits until it accumulates D symbols, and then uses a sequence of D symbols to compute each of the traceback paths. D can be any positive integer. At the end of each frame, the block saves its internal state metric for use with the next frame.If you select Enable the reset input, the block displays another input port, labeled
Rst
. This port receives an integer scalar signal. Whenever the value at theRst
port is nonzero, the block resets all state metrics to zero and sets the traceback memory to zero.In
Truncated
mode, the block treats each frame independently. The traceback path starts at the state with the lowest metric. D must be less than or equal to the vector length of the input.In
Terminated
mode, the block treats each frame independently. The traceback path always starts at the allzeros state. D must be less than or equal to the vector length of the input. If you know that each frame of data typically ends at the allzeros state, then this mode is an appropriate choice.
Decoding Delay
If you set Operation mode to
Continuous
, then this block introduces a decoding
delay equal to Traceback depth*k bits, for a rate k/n
convolutional code. The decoding delay is the number of zeros that precede the first
decoded bit in the output.
The block incurs no delay for other values of Operation mode.
Parameters
 Trellis structure
MATLAB^{®} structure that contains the trellis description of the convolutional encoder.
 Mary number
The number of points in the signal constellation.
 Traceback depth
The number of trellis branches (equivalently, the number of symbols) the block uses in the Viterbi algorithm to construct each traceback path.
 Operation mode
The operation mode of the Viterbi decoder. Choices are
Continuous
,Truncated
, andTerminated
. Enable the reset input port
When you select this check box, the block has a second input port labeled
Rst
. Providing a nonzero input value to this port causes the block to set its internal memory to the initial state before processing the input data. This option appears only if you set Operation mode toContinuous
. Output data type
Select the data type for the block output signal as
boolean
orsingle
. By default, the block sets this todouble
.
Supported Data Types
Port  Supported Data Types 

Input 

Reset 

Output 

Pair Block
References
[1] Biglieri, E., D. Divsalar, P. J. McLane and M. K. Simon, Introduction to TrellisCoded Modulation with Applications, New York, Macmillan, 1991.
[2] Proakis, John G., Digital Communications, Fourth edition, New York, McGrawHill, 2001.