Design of Denoising Method for Underwater Communication Based on Adaptive Chunking Algorithm and Quantum Mechanics Theory

With the deepening exploitation of marine resources, the application of underwater communication is becoming increasingly widespread, and the noise in the underwater channel will severely impact the reliability of underwater communication. Therefore, researchers have focused on improving the accuracy and reliability of underwater communication through denoising. Currently, denoising methods are widely used based on algorithms, such as Fourier transform, wavelet transform, convolutional neural network, and time-space domain filtering. Still, they all have some areas for improvement in the application of underwater communication. In this regard, inspired by quantum mechanical tools and adaptive algorithms, this article proposes a quantum adaptive chunk denoising algorithm applied in underwater communication. First, this article proposes an adaptive chunking algorithm to dynamically adjust the chunk size according to the local signal characteristics to capture the signal details better. Second, the chunked signal and image are taken as potentials in the discrete Schrödinger equation and solved for the eigenvalues and eigenvectors of the discrete Hamiltonian matrix constructed by the adaptive chunking algorithm. Finally, the solved values are subjected to total variational denoising and reconstruction after denoising. The algorithm proposed in this article is compared with wavelet denoising based on hard and soft thresholding, Denoising Algorithm Based on an ideal low-pass adaptive filter, sparsity-assisted signal smoothing (SASS) algorithm and Quantum Mechanics Adaptive Basis Denoising Algorithm. The experimental results show that the quantum adaptive chunking denoising algorithm proposed in this article can effectively remove underwater noise from signals and images under the condition of low-signal-to-noise ratio, which improves the reliability and signal quality of underwater communication and meets the denoising standard of underwater communication.