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Design Example01:23

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The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
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Phasor Arithmetics01:13

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The quotient rule is a fundamental differentiation technique in calculus used to differentiate functions expressed as a ratio of two differentiable functions. Given a function of the form:Where g(x) and h(x) are both differentiable and h(x) ≠ 0, the derivative of f(x) is given by:Example:The quotient rule is beneficial when differentiating rational functions, trigonometric ratios, and exponential functions. For example, given:applying the quotient rule,This rule is essential in solving...
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Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
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Mason's rule is a powerful tool in control systems and signal processing. It simplifies the calculation of transfer functions from signal-flow graphs. This method leverages various elements, including loop gains, forward-path gains, and non-touching loops, to determine the transfer function efficiently.
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Updated: May 7, 2026

Quasi-light Storage for Optical Data Packets
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An audio encryption method based on quaternary logic operations.

Hongjian Wang1, Yuxin Dai2, Kuiyan Li2

  • 1School of Information and Intelligent Science, Donghua University, Shanghai, 201620, China. hongjian.wang@dhu.edu.cn.

Scientific Reports
|May 5, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a novel audio encryption method using quaternary logic and MixColumns operations, achieving superior security and faster speeds than existing techniques. The method offers enhanced data protection and efficiency for audio signals.

Keywords:
Audio encryptionBlock cipherDual encryptionMixColumnsMultiple-valued logic

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Area of Science:

  • Cryptography
  • Digital Signal Processing
  • Computer Engineering

Background:

  • Audio data's inherent correlation between adjacent samples poses challenges for encryption.
  • Existing audio encryption methods often sacrifice efficiency for security due to complex algorithms.

Purpose of the Study:

  • To propose a novel, efficient, and secure audio encryption method.
  • To enhance audio data protection against various attacks.

Main Methods:

  • Combining quaternary logic operations with MixColumns operations for encryption.
  • Implementing dual encryption to resist statistical attacks.
  • Analyzing key sensitivity and calculating security indicators (key space, sample change rate, etc.).

Main Results:

  • The proposed method demonstrates higher security and faster encryption/decryption speeds compared to existing methods.
  • Security indicators, including key space and diffusion effects, are superior.
  • Achieves high encryption speeds (0.000257 s/KB in C++) and efficient FPGA implementation (363.6 MHz).

Conclusions:

  • The novel audio encryption method offers a significant improvement in both security and efficiency.
  • It provides a robust solution for protecting audio data, outperforming established algorithms like AES and Ascon.
  • The method's speed and low resource consumption make it suitable for practical applications, especially on hardware platforms.