T he novel coronavirus disease, COVID-19, has rapidly and abruptly changed the world as we knew it in 2020. It has become the most unprecedented challenge to analytic epidemiology (AE) in general and signal processing (SP) theories specifically. In this regard, medical imaging plays an important role for the management of COVID-19. SP and deep learning (DL) models can assist in the development of robust radiomics solutions for the diagnosis/prognosis, severity assessment, treatment response, and monitoring of COVID-19 patients.We intend to present not only an overview of the current state, challenges, and opportunities of developing SP/ DL-empowered models for the diagnosis/prognosis of COVID-19 but also the latest developments in the theoretical framework of AE and hypersignal processing (HP) for COVID-19 from the points of view of both SP and medical/pandemic control professionals. The imaging modalities and radiological characteristics of COVID-19 are then discussed. SL/DL-based radiomic models specific to the analysis of COVID-19 infection are described covering four domains, which encompass the segmentation of COVID-19 lesions, models for outcome prediction, severity assessment, and diagnosis/classification models. This work leads to the identification of significant open problems and opportunities