MATLAB Implementation of Discrete Cosine Transform (DCT)

The following MATLAB code demonstrates the implementation of Discrete Cosine Transform (DCT), a widely used technique in signal processing and image compression. This implementation utilizes MATLAB's built-in dct function while providing clear examples of how to apply the transform to both one-dimensional signals and two-dimensional matrices. Key implementation features include: - Proper matrix normalization for different DCT variants - Example usage with sample data generation - Inverse DCT transformation to verify accuracy 1. Code Structure: The implementation separates forward and inverse DCT operations Input validation ensures proper data type handling 2. Algorithm Details: Implements Type-II DCT with orthogonal normalization Handles both real-valued and complex inputs appropriately 3. Practical Applications: Includes examples for audio signal processing Demonstrates image compression simulation using coefficient thresholding This code serves as an educational resource to deepen understanding of DCT principles through hands-on experimentation. Users can modify parameters to observe effects on frequency domain representation and reconstruction quality. For technical questions regarding the implementation or suggestions for improvement, please feel free to contact me. I hope this resource proves valuable for your projects and encourage you to share it with others who may benefit from practical DCT implementation examples.