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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
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A Microfluidic-based Hydrodynamic Trap for Single Particles
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Semidefinite programming for manipulating acoustic traps in real time (SMART).

Sebastian Zehnter1, Kevin Endres2, Martin Kronbichler3,4

  • 1Chair of Control Engineering, University of Augsburg, Augsburg, 86159, Germany. sebastian.zehnter@uni-a.de.

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|May 20, 2025
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Summary
This summary is machine-generated.

Researchers developed a new real-time acoustic levitation method using semidefinite programming. This technique allows for precise, high-speed manipulation of levitated objects, overcoming limitations of previous approaches.

Keywords:
Acoustic levitationAcoustic trapsBlock-coordinate minimisationBurer–Monteiro methodContactless handlingPhase recoveryPhase retrieval problemReal timeSemidefinite programmingSound pressure field

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Area of Science:

  • Acoustics
  • Physics
  • Engineering

Background:

  • Acoustic levitation uses sound waves for object manipulation.
  • Existing methods struggle with larger particles and slow, complex optimization.

Purpose of the Study:

  • To develop a real-time acoustic levitation technique for dynamic object manipulation.
  • To overcome limitations of current optimization-based methods.

Main Methods:

  • Utilized semidefinite programming for real-time control.
  • Employed a 256-transducer phased array at 40 kHz.

Main Results:

  • Successfully rotated a non-spherical Rayleigh object.
  • Translated Mie spheres along defined trajectories in real time.
  • Determined transducer emission phases instantly.

Conclusions:

  • The semidefinite programming approach enables precise, high-speed acoustic manipulation.
  • Facilitates model-based closed-loop control for advanced levitation systems.