Analog Error Correction Codes Based on Chaotic System: The 2-Dimensional Tent Codes

In low signal-to-noise ratio (SNR) scenarios, image wireless transmission is often interrupted due to the "threshold effect" in traditional digital communication system. Fortunately, it can be avoided in analog communication system, owing to its feature of linear degradation to noise. And to design the efficient analog error correction codes is the key to achieve high fidelity image. Considering problems such as low code rate and high encoding and decoding complexity of the existing analog codes, the efficient analog codes based on 2-dimensional tent map are proposed. The new 2-dimensional tent map is built by extending the one-dimensional tent map. The proposed 2-dimensional tent codes perform better than the existing mirrored baker\´s codes. Simulation results show that compared with the mirrored baker\´s codes, the peak signal to noise ratio (PSNR) of image can get the gain of more than 3dB, the code rate is doubled, and the encoding and decoding complexity decreases greatly.