Data Compression: Sparse Signals and Data Recording

This lecture discusses the concept of data compression by exploiting the sparsity of signals in a suitable basis, focusing on the process of keeping only the essential information. The instructor explores the idea of recording a large amount of data and then selecting the important bits, questioning the possibility of directly capturing only the relevant information. Various techniques such as wavelet coefficients and JPEG2000 compression are examined in the context of signal processing and data storage.