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Turbo decoding


  • out = lteTurboDecode(in)
  • out = lteTurboDecode(in,nturbodecits)



out = lteTurboDecode(in) returns the result of turbo decoding the input data in. The function can decode single data vectors or cell arrays of data vectors. In the case of cell array input, the output is a cell array containing the separately decoded input array vectors. The input data is assumed to be soft bit data that has been encoded with the parallel concatenated convolutional code (PCCC), as defined in TS 36.212 [1], Section Each input data vector is assumed to be structured as three encoded parity streams concatenated in a block-wise fashion, [S P1 P2], where S is the vector of systematic bits, P1 is the vector of encoder 1 bits, and P2 is the vector of encoder 2 bits. The decoder uses a default value of 5 iteration cycles. It returns the decoded bits in output vector out after performing turbo decoding using a sub-log-MAP (Max-Log-MAP) algorithm.

out = lteTurboDecode(in,nturbodecits) provides control over the number of turbo decoding iteration cycles via parameter nturbodecits. The nturbodecits is an optional parameter. If it is not provided, it uses the default value of 5 iteration cycles.


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Perform turbo decoding of soft bits obtained from a noisy constellation.

Create a bit stream, turbo encode the bit stream, and modulate it. Create noise, add it to the modulated symbols. Display the transmitted and received symbols on a scatter plot.

txBits = randi([0 1],6144,1);
codedData = lteTurboEncode(txBits);
txSymbols = lteSymbolModulate(codedData,'QPSK');
noise = 0.5*complex(randn(size(txSymbols)),randn(size(txSymbols)));
rxSymbols = txSymbols + noise;

hold on;

legend('Rx constellation','Tx constellation')

Demodulate the symbols and turbo decode soft bits. Compare the transmitted and recovered bits.

softBits = lteSymbolDemodulate(rxSymbols,'QPSK','Soft');
rxBits = lteTurboDecode(softBits);
numberErrors = sum(rxBits ~= int8(txBits))
numberErrors =


Input Arguments

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Soft bit input data, specified as a numeric vector or a cell array of vectors. The decoder expects the input bits to be encoded with the parallel concatenated convolutional code (PCCC), as defined in TS 36.212 [1], Section 5.1.3.

Data Types: int8 | double | cell

Number of turbo decoder iteration cycles, specified as a positive scalar integer between 1 and 30. Optional.

Data Types: double

Output Arguments

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Turbo decoded bits, returned as an integer column vector or a cell array of integer column vectors.

Data Types: int8 | cell


[1] 3GPP TS 36.212. "Multiplexing and channel coding." 3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (E-UTRA). URL:

Introduced in R2014a

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