Signal processing in the encrypted domain-Development of a new technique for secure manipulation of signals-

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We have established the fundamental techniques for computing with signals that are encrypted or otherwise hidden often referred to as signal processing in the encrypted domain. We have first presented a method of approximate conversion from signal processing operations with real numbers to those with rational numbers such as integers and fractions. It follows from this that we can transform multiplications and summations in the signal processing domain into power operations and multiplications in the encrypted domain, and implement signal processing in the encrypted domain with an additive homomorphic encryption. Using this method, we have proposed an image authentication system in the encrypted domain. The results are considered to play an important role in real-world applications in which cryptography meets signal processing.