Design of Extended Hamming Code Technique Encryption for Audio Signals by Double Code Error Prediction

R. Asokan, T. Vijayakumar
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Abstract

Noise can scramble a message that is sent. This is true for both voicemails and digital communications transmitted to and from computer systems. During transmission, mistakes tend to happen. Computer memory is the most commonplace to use Hamming code error correction. With extra parity/redundancy bits added to Hamming code, single-bit errors may be detected and corrected. Short-distance data transmissions often make use of Hamming coding. The redundancy bits are interspersed and evacuated subsequently when scaling it for longer data lengths. The new hamming code approach may be quickly and easily adapted to any situation. As a result, it's ideal for sending large data bitstreams since the overhead bits per data bit ratio is much lower. The investigation in this article is extended Hamming codes for product codes. The proposal particularly emphasises on how well it functions with low error rate, which is critical for multimedia wireless applications. It provides a foundation and a comprehensive set of methods for quantitatively evaluating this performance without the need of time-consuming simulations. It provides fresh theoretical findings on the well-known approximation, where the bit error rate roughly equal to the frame error rate times the minimal distance to the codeword length ratio. Moreover, the analytical method is applied to actual design considerations such as shorter and punctured codes along with the payload and redundancy bits calculation. Using the extended identity equation on the dual codes, decoding can be done at the first instance. The achievement of 43.48% redundancy bits is obtained during the testing process which is a huge proportion reduced in this research work.
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基于双码误差预测的扩展汉明码技术音频信号加密设计
噪音会干扰已发送的信息。无论是语音邮件还是从计算机系统传输的数字通信,都是如此。在传播过程中,容易发生错误。计算机内存中最常用的是使用汉明码纠错。随着额外的奇偶校验/冗余位添加到汉明码,可以检测和纠正单比特错误。短距离数据传输通常使用汉明编码。当扩展到更长的数据长度时,冗余位被分散和疏散。新的汉明码方法可以快速和容易地适应任何情况。因此,它非常适合发送大数据比特流,因为每个数据比特比的开销要低得多。本文研究的是将汉明码扩展为产品码。该方案特别强调如何在低错误率的情况下运行良好,这对多媒体无线应用至关重要。它为定量评估这种性能提供了基础和一套全面的方法,而不需要耗时的模拟。它为众所周知的近似提供了新的理论发现,其中误码率大致等于帧误码率乘以最小距离与码字长度之比。此外,将分析方法应用于实际设计考虑,如短码和穿孔码以及有效载荷和冗余位的计算。利用对偶码的扩展恒等方程,可以第一次解码。在测试过程中获得了43.48%的冗余位,这在本研究工作中大大降低了比例。
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