Encryption and decryption using phase recovery
Embodiments include methods and systems for improving information security of an input signal. Embodiments include encrypting the input signal, based on concurrently executing a plurality of sequences of transformations of the input signal. Embodiments include, for each sequence of the plurality of sequences: performing a discrete Fourier transform on the input signal; preserving amplitude information of the input signal; and ciphering the input signal based on a unique key that corresponds to the sequence. In embodiments, executing each one of the sequences produces a corresponding encrypted data signal. In embodiments, recreation of the input signal requires each of the encrypted data signals and the corresponding unique key.
1. A method for improving information security of an input signal, the method comprising:
encrypting the input signal, based on concurrently executing a plurality of sequences of transformations of the input signal, and for each sequence of the plurality of sequences:
(i) performing a discrete Fourier transform on the input signal;
(ii) removing phase information from the input signal, while preserving, on the spectral plane, amplitude information of the input signal; and
(iii) ciphering the input signal based on a unique key that corresponds to the sequence,
wherein executing each one of the sequences produces a corresponding encrypted data signal, and recreation of the input signal requires each of the encrypted data signals and the corresponding unique key.
2. The method of claim 1 , wherein the encrypting is performed by a processor or a spatial light modulator (SLM) and associated optics.
3. The method of claim 1 , further comprising increasing processing speed of the Fourier transform by zero padding the input signal.
4. The method of claim 1 , wherein the encrypting is performed non-linearly.
5. The method of claim 1 , wherein, within a first sequence of the plurality of sequences, the discrete Fourier transform is performed before removing the phase information.
6. The method of claim 5 , wherein, within the first sequence of the plurality of sequences, the ciphering is performed after removing the phase information.
7. The method of claim 6 , wherein, within remaining sequences of the plurality of sequences, the ciphering is performed before the discrete Fourier transform.
8. The method of claim 7 , wherein, within the remaining sequences of the plurality of sequences, the step of removing the phase information is performed after the discrete Fourier transform.
9. The method of claim 8 , wherein the plurality of sequences are three sequences.
10. A decryption method, comprising:
receiving a plurality of encrypted data signals without phase information;
deciphering each encrypted data signal of the plurality of encrypted data signals, based on a unique key that corresponds to the encrypted data signal, to produce a plurality of deciphered data signals; and
performing recovery of phase of an original input signal associated with the encrypted signals in an iterative manner and including averaging the deciphered data signals, wherein the recovery of the phase forms a partially recovered version of at least 98 percent of an original phase of the original input signal.
11. The method of claim 10 , wherein the deciphering is performed by a processor or a spatial light modulator (SLM) and associated optics.
12. The method of claim 10 , wherein the recovery of the phase forms a partially recovered version of at least 99 percent of an original phase of the original input signal.
13. The method of claim 10 , wherein the recovery of the phase forms a partially recovered version of at least 99.9 percent of an original phase of the original input signal.
14. The method of claim 10 , further comprising deciphering each encrypted data signal based on an inverse of the unique key.
15. The method of claim 14 , wherein the step of performing recovery of the phase includes performing a discrete inverse Fourier transform on each of the deciphered data signals.
16. The method of claim 15 , wherein the step of performing recovery of the phase includes assigning random or pseudorandom phases to each of the deciphered data signals.
17. An encryption system for improving information security of an input signal, the encryption system comprising:
an encryption unit configured to encrypt the input signal, based on concurrent execution of a plurality of sequences of transformations of the input signal, and for each sequence of the plurality of sequences:
(i) perform a discrete Fourier transform on the input signal;
(ii) remove phase information from the input signal and preserve, on the spectral plane, amplitude information of the input signal; and
(iii) cipher the input signal based on a unique key that corresponds to the sequence,
wherein the execution of each one of the sequences produces a corresponding encrypted data signal, and recreation of the input signal requires each of the encrypted data signals and the corresponding unique key.
18. The system of claim 17 , wherein the encryption unit comprises a processor or a spatial light modulator (SLM) and associated optics.
19. A decryption system for improving information security of encrypted data signals, the decryption system comprising:
a decryption unit configured to receive a plurality of encrypted data signals without phase information;
deciphering, by the decryption unit, each encrypted data signal of the plurality of encrypted data signals, based on a unique key that corresponds to the encrypted data signal, to produce a plurality of deciphered data signals; and
performing recovery of phase of an original input signal associated with the encrypted signals in an iterative manner and including averaging the deciphered data signals, wherein the recovery of the phase forms a partially recovered version of at least 98 percent of an original phase of the original input signal.
20. The system of claim 19 , wherein the decryption unit may include a processor or a spatial light modulator (SLM) and associated optics.