frame theory

Frame theory is a mathematical framework used to analyze signals or data by representing them through overlapping, redundant sets of basic building blocks, called "frames." Unlike traditional bases, frames allow for multiple ways to reconstruct the same data, providing stability and resilience to noise or errors. This approach is useful in areas like signal processing and image compression, as it ensures that information can be recovered accurately even if some parts are lost or distorted. Essentially, frames offer flexible, robust ways to analyze and reconstruct complex data structures efficiently.