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Construction Methods for Turbo Codes. Other Decoding Algorithms for Turbo Codes. EXIT Charts for Turbo Codes Turbo Product Codes (TPCs) are based on block codes, not convolutional codes TPCs are built on a 2 or 3 dimensional arrays of extended Hamming codes Encoding is done in a single iteration Minimum distance of a 2-D product code is square of constituent code; for a 3-D code, cubed Thus minimum distance is: 16 for 2-Dimensional codes 64 for 3 Turbo codes are suitable for 3G and 4G mobile communications and satellite communications to help transmitting and receiving messages over noisy channels. You can also use Turbo codes in other applications that require reliable information transfer over bandwidth- or latency-constrained communication links in the presence of data corrupting noise. The process of turbo-code decoding starts with the formation of a posteriori probabilities (APPs) for each data bit, which is followed by choosing the data-bit value that corresponds to the maximum a posteriori (MAP) probability for that data bit. Upon reception of a corrupted code-bit sequence, the process of decision- Fig. 2 - A Systematic Turbo Code Encoder In the October 96 Meeting, Turbo Codes were proposed to Sub Panel 1A as study item for potential adoption as CCSDS standard code(s) for inter-agency support.

RA codes are shown to be a serious competitor against turbo codes and LDPC codes. The fading amplitude a is Rayleigh distributed with pdf, p (a)=2ae. 2.

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The RS(n;k), where n One Symbol in Two Codes More Codes Decoding a Turbo-Code When a Systematic Symbol x ij is in Two Codes x0 1 code vertical horizontal code x00 T 1 x00 j+1 x00 j 1 x0 x i+1 0 i 1.. x00 1 x0 T x00 T x xij 0 2 The symbols x 0 1;x 2; ;x0 i 1;x ij;x 0 i+1; ;x 0 T are the systematic symbols of a rst (horizontal) convolutional code, see gure. The symbols x00 1;x 00 2; ;x j 1;x ij;x j 00 +1; ;x T Turbo Product Codes (TPCs) are based on block codes, not convolutional codes TPCs are built on a 2 or 3 dimensional arrays of extended Hamming codes Encoding is done in a single iteration Minimum distance of a 2-D product code is square of constituent code; for a 3-D code, cubed Thus minimum distance is: 16 for 2-Dimensional codes 64 for 3 As turbo codes did not actually arise from applying a pre-existing theory, most of their outstanding features remain to be explained.

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You can also use Turbo codes in other applications that require reliable information transfer over bandwidth- or latency-constrained communication links in the presence of data corrupting noise.

1.2 Stopping Criterias Techniques for early stopping of iterative decoding of Turbo codes are of interest for many reasons, such as increasing average decoder throughput or reducing the average decoder power-consumption Various early stopping methods have been codes to be used in the turbo encoder structure. These codes, for from 2 to 32 states, are designed by using primitive polynomials. The resulting turbo codes have rates b/n, b=1,2,3,4,andn=2, 3, 4, 5, 6 and include random interleavers for better asymptotic performance. These codes are suitable for deep-space communications The encoder of the proposed space-time turbo code [ 111 is composed of a turbo code followed by the operation of punc- turing, channel interleaving and multiplexing (Figure 2). Punc- turing allows flexible code rates and channel interleaving and multiplexing take advantage of both time diversity and space cli- versity. As an example, we consider a rate 214 turbo code [ 131 2003-01-01 · The turbo code puncturing matrix optimization algorithm is given in Fig. 4 where S PTC is the set of all puncturing matrices.
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1.2 Stopping Criterias Techniques for early stopping of iterative decoding of Turbo codes are of interest for many reasons, such as increasing average decoder throughput or reducing the average decoder power-consumption Various early stopping methods have been Abstract A comparison of convolutional code based Turbo Codes (TCC) and Turbo Product Codes (TPC) is provided over a range of spectral efficiencies.

The turbo code encoder is a parallel concatenation of two recursive systematic convolutional (RSC) codes.
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Purpose To initiate a request for a more detailed proposal regarding the use of TCC for the physical layer of 802.16.3.