Secure signal processing using fully homomorphic encryption

Abstract

In a world becoming dependent on cloud computing, multiple and many techniques are needed to meet security and privacy requirements. This study investigates using Fully Homomorphic Encryption (FHE) in the cloud for a set of signal processing algorithms. Using FHE provides a level of security and privacy for cloud computing. This research implements a framework with a set of real number processing formats that allows FHE to be used in the cloud. Developing formats for real numbers is required because FHE operates over integers. Both a fixed point binary format and a rational number format are implemented to allow for real number processing. Experimentally, the framework is implemented and verified with three algorithms: fast Fourier transform, speeded up robust features, and histogram of oriented gradients. Each implementation is bounded with error caused by the formats and examined against images (two-dimensional signals).