主题词：Image and Signal Denoising Methods; Mathematical Analysis and Transform Methods; Sparse and Compressive Sensing Techniques; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Advanced Numerical Analysis Techniques; Digital Filter Design and Implementation; Educational Robotics and Engineering; Seismic Imaging and Inversion Techniques; Numerical methods in inverse problems; Blind Source Separation Techniques; Advanced Harmonic Analysis Research; Advanced Data Compression Techniques; Mathematical functions and polynomials; Advanced Image Fusion Techniques; Microwave Imaging and Scattering Analysis; Neural Networks and Applications; Medical Imaging Techniques and Applications; Advanced X-ray Imaging Techniques; Advanced Mathematical Modeling in Engineering; Medical Image Segmentation Techniques; Electromagnetic Scattering and Analysis; Topological and Geometric Data Analysis; Advanced Image Processing Techniques; Spectral Theory in Mathematical Physics