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Convolutional Encoder/Decoder of Rate 1/N Codes

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Convolutional Encoder/Decoder of Rate 1/N Codes

by Romeil Sandhu

 

16 Nov 2009 (Updated 16 Nov 2009)

MATLAB code that tests a rate 1/N Convolution Encoder and Decoder schemes via a Trellis map.

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Description

In this project, we seek to minimize the gap-to-capacity (given by Shannon’s theoretical limit) of a rate 1/3 code (also can be modified for 1/N). This is done via a convolutional encoder/decoder for varying memory elements as well for both soft and hard decoding scheme. We show that the gap-to-capacity can be minimized with respect to the suboptimal un-coded code word or a (3,1) repetition code. Although better schemes are available such as LDPC and turbo codes, we have chosen the convolutional code for its simplicity and generality. Our model of transmission is binary-input AWGN channel. Also, I attached my paper to demonstrate how the code can be easily modified for other rates and different varying element sizes. Provides detail overview of Convolution Coding scheme.

For More Information: http://www.romeilsandhu.com

MATLAB release MATLAB 7.6 (R2008a)
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Comments and Ratings (2)
16 Nov 2009 Shawn Lankton

The codes worked great. They helped me complete my coding theory project. The generality of the functions was particularly helpful. Thanks for the awesome work.

12 Nov 2011 edwin prabhakaran

i didnt get output in matlab 2008a

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16 Nov 2009

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16 Nov 2009

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16 Nov 2009

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Tag Activity for this File
Tag Applied By Date/Time
convolutional codes Romeil Sandhu 16 Nov 2009 10:18:12
trellis map Romeil Sandhu 16 Nov 2009 10:18:12
awgn channel Romeil Sandhu 16 Nov 2009 10:18:12
coding theory Romeil Sandhu 16 Nov 2009 10:18:12
encoder Romeil Sandhu 16 Nov 2009 10:18:12
decoder Romeil Sandhu 16 Nov 2009 10:18:12
gaptocapacity Romeil Sandhu 16 Nov 2009 10:18:12
shannons limit Romeil Sandhu 16 Nov 2009 10:18:12
hamming distance Romeil Sandhu 16 Nov 2009 10:18:12
error control Romeil Sandhu 16 Nov 2009 10:18:12
hamming codes Romeil Sandhu 16 Nov 2009 10:18:12
soft decoding Romeil Sandhu 16 Nov 2009 10:18:12
hard decoding Romeil Sandhu 16 Nov 2009 10:18:12
signal processing Romeil Sandhu 16 Nov 2009 10:18:12
convolutional codes SNEHA 25 Aug 2010 03:10:57
encoder mohammad arif 27 Jan 2012 07:01:00

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