Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Fast Fourier Transform01:10

Fast Fourier Transform

433
The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
433
Discrete Fourier Transform01:15

Discrete Fourier Transform

379
The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
379
Properties of Fourier series II01:21

Properties of Fourier series II

238
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
238
Downsampling01:20

Downsampling

229
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
229

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Initial cardioplegia dose indexed to left ventricular mass in mitral valve surgery.

Perfusion·2026
Same author

TACE Combined with Ralox-HAIC (Oxaliplatin Puls Raltitrexed) and System Therapy in Patients with Unresectable Hepatocellular Carcinoma.

Journal of hepatocellular carcinoma·2026
Same author

A "Three-in-One" AuNRs@ZIF-8/AuNPs Nanoplatform: Nanoenzyme-Mediated SERS-Colorimetric Bimodal Detection of Intracellular Glutathione and Photothermal Therapy.

ACS applied materials & interfaces·2026
Same author

Central nervous system multiple myeloma: An update for 2026.

Annals of hematology·2026
Same author

Entropy-Stabilized High-Entropy Sulfide Anodes for Fast-Charging and Long-Life Sodium-Ion Batteries.

ACS applied materials & interfaces·2026
Same author

Dissipative quantum geometric phase in the spin-boson system.

The Journal of chemical physics·2026

Related Experiment Video

Updated: Aug 25, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

9.9K

Security-enhanced multiple-image encryption based on quick response codes and modified double random phase encoding

Zhihan Wang, Yanfeng Su, Xunyuan Wang

    Applied Optics
    |October 18, 2022
    PubMed
    Summary

    This study introduces a novel multiple-image encryption method using Quick Response (QR) codes and modified double random phase encoding (DRPE) in the fractional Fourier transform (FrFT) domain. The technique enhances security through digital keys with high sensitivity, ensuring robust data protection.

    More Related Videos

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    9.1K
    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
    07:56

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

    Published on: September 5, 2019

    8.6K

    Related Experiment Videos

    Last Updated: Aug 25, 2025

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    9.9K
    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    9.1K
    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
    07:56

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

    Published on: September 5, 2019

    8.6K

    Area of Science:

    • Cryptography and Information Security
    • Optics and Photonics
    • Computer Science

    Background:

    • Traditional image encryption methods face challenges in security and key space limitations.
    • The integration of Quick Response (QR) codes offers a novel approach for data embedding and key generation.
    • Fractional Fourier Transform (FrFT) provides a powerful framework for optical encryption due to its phase-space properties.

    Purpose of the Study:

    • To propose a security-enhanced multiple-image encryption method.
    • To leverage QR codes and modified Double Random Phase Encoding (DRPE) in the FrFT domain for improved security.
    • To enhance the key space and security by utilizing digital keys with high sensitivity.

    Main Methods:

    • Plaintext images are converted into QR codes, which generate binary keys for decryption.
    • A modified DRPE technique in the FrFT domain encrypts a random binary plaintext (RBP) into a noise-like ciphertext.
    • Digital keys, including wavelength, fractional orders, and focal lengths, are incorporated to expand the key space and increase sensitivity.

    Main Results:

    • The proposed method demonstrates high security due to the sensitive mapping of digital keys to chaotic system initial values.
    • Computational simulations confirm the high feasibility and strong robustness of the encryption technique.
    • The encryption process effectively transforms plaintext into a noise-like ciphertext, protecting original image data.

    Conclusions:

    • The developed security-enhanced multiple-image encryption method offers a robust and feasible solution for secure data transmission.
    • The integration of QR codes and modified DRPE in the FrFT domain significantly improves encryption security.
    • The high sensitivity of digital keys contributes to an exceptionally secure encryption system.