MATLAB Implementation of Discrete Cosine Transform (DCT)

This code implements Discrete Cosine Transform (DCT) using MATLAB's built-in dct function. The Discrete Cosine Transform serves as a crucial signal processing technique that converts time-domain signals into the frequency domain, enabling better analysis of frequency characteristics. In signal processing applications, DCT finds extensive use in data compression, image processing, and audio signal manipulation. The implementation utilizes MATLAB's dct() function which computes the unitary discrete cosine transform of input arrays. The algorithm processes signals by decomposing them into frequency components, where higher-frequency coefficients typically represent finer details while lower-frequency components capture broader signal characteristics. Through this demonstration, we showcase practical DCT application for signal processing. The code allows visualization of post-transformation effects, highlighting how DCT enhances understanding of signal properties and demonstrates its advantages in frequency-domain analysis. Key implementation aspects include proper signal normalization, coefficient thresholding for compression simulations, and inverse transformation validation using idct() function.