3 5 ccsds 1301 g 1 page

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Unformatted text preview: /2, Operating over an Unconstrained-Input AWGN Channel............................................ 3-5 CCSDS 130.1-G-1 Page vi June 2006 TM SYNCHRONIZATION AND CHANNEL CODING —SUMMARY OF CONCEPT AND RATIONALE CONTENTS (continued) Figure Page 3-5 Performance Comparison of Selected Convolutional, Reed-Solomon, Concatenated, and Turbo Codes ................................................................................... 3-7 4-1 Example of Convolutional Encoder: Constraint Length K=7, Rate 1/2, CCSDS Standard Convolutional Code ......................................................................... 4-2 4-2 Encoder Block Diagram for the Punctured CCSDS Convolutional Codes .................. 4-3 4-3 (3,1/2) Convolutional Encoder ..................................................................................... 4-4 4-4 Trellis Representation of (3,1/2) Convolutional Code ................................................. 4-4 4-5 Bit Error Rate Performance of the CCSDS Rate 1/2 Convolutional Code with Different Quantizers ............................................................................................. 4-7 4-6 Bit Error Rate Performance of the CCSDS Rate-1/2 Convolutional Code with Different Decoding Delays D ............................................................................... 4-8 4-7 Frame Error Rate Performance of the CCSDS Rate-1/2 Convolutional Code with Different Frame Lengths and Decoding Delay D=60 .......................................... 4-8 4-8 Bit Error Rate Performance of the CCSDS Punctured Convolutional Codes .............. 4-9 4-9 Frame Error Rate Performance of the CCSDS Punctured Convolutional Codes with Frame Length L=8920 ........................................................................................ 4-10 5-1 Block Diagram of an (n,k) Reed-Solomon Encoder ..................................................... 5-3 5-2 RS Codeword Structure, J=8, E=16 ............................................................................. 5-3 5-3 Illustration of RS Codeword Structure, with and without Virtual Fill ......................... 5-4 5-4 Matrix Used for Interleaving ........................................................................................ 5-5 5-5 Pw, Ps and Pb for the (255,223) RS Code with E=16.................................................... 5-8 5-6 Pw, Ps and Pb for the (255,239) RS Code with E=8...................................................... 5-9 5-7 BER and WER Performance of the CCSDS E=16 Reed-Solomon Code (255,223): Simulated and Analytical Results for the AWGN Channel .............. 5-9 5-8 BER and WER Performance of the CCSDS E=8 Reed-Solomon Code (255,239): Simulated and Analytical Results for the AWGN Channel ............ 5-10 5-9 BER Performance Comparison of Shortened and Non-Shortened Reed-Solomon Codes on the AWGN Channel........................................................... 5-10 6-1 Concatenated Coding System Block Diagram.............................................................. 6-2 6-2 Average Burst Length vs. SNR, at the Viterbi Decoder Output, K=7 CCSDS Convolutional Code ........................................................................................ 6-3 6-3 Performance of Concatenated Coding Systems with Infinite Interleaving, E=16, Punctured Codes ........................................................................... 6-4 6-4 Performance of Concatenated Coding Systems with Infinite Interleaving, E=8, Punctured Codes ............................................................................. 6-5 6-5 Bit Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=16 Reed-Solomon Code (255,223) and Inner Rate-1/2 Convolutional Code as a Function of Interleaving Depth ............................. 6-6 CCSDS 130.1-G-1 Page vii June 2006 TM SYNCHRONIZATION AND CHANNEL CODING —SUMMARY OF CONCEPT AND RATIONALE CONTENTS (continued) Figure Page 6-6 Word Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=16 Reed-Solomon Code (255,223) and Inner Rate-1/2 Convolutional Code as a Function of Interleaving Depth ............................................ 6-6 6-7 Bit Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=8 Reed-Solomon Code (255,239) and Inner Rate-1/2 Convolutional Code as a Function of Interleaving Depth ............................. 6-7 6-8 Word Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=8 Reed-Solomon Code (255,239) and Inner Rate-1/2 Convolutional Code as a Function of Interleaving Depth ............................. 6-7 6-9 Bit Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=16 Reed-Solomon Code (255,223) and Inner Punctured Convolutional Codes, Using Finite Interleaving with I=5 .......................... 6-8 6-10 Word Error Rate Simulated Performance of the CCSDS Concatenated Scheme with Outer E=16 Reed-Solomon Code (255,223) and Inner Punctured Convolutio...
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