2020/07/02 by Wei Chen, Zunwei Fu, Chen, Wei +5
Computer Science · Mathematics · #Chaos-based Image/Signal Encryption #FOS: Computer and information sciences #Image and Signal Denoising Methods #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.2007.00957
openalex publication_date 2020/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper provides a double encryption algorithm that uses the lack of invertibility of the fractional Fourier transform (FRFT) on L1. One encryption key is a function, which maps a ``good" L2-signal to a ``bad" L1-signal. The FRFT parameter which describes the rotation associated with this operator on the time-frequency plane provides the other encryption key. With the help of approximate identities, such as of the Abel and Gauss means of the FRFT established in \citeCFGW, we recover the encrypted signal on the FRFT domain. This design of an encryption algorithm seems new even when using the classical Fourier transform. Finally, the feasibility of the new strategy is verified by simulation and audio examples.