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Related Concept Videos

Basic Operations on Signals01:22

Basic Operations on Signals

Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
Time Reversal mirrors a continuous-time signal about the vertical axis at t=0. This is achieved by substituting t with −t. For example, if a signal x(t) is considered, the time-reversed signal is x(−t). This operation can be graphically represented, showing the mirrored signal.
Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
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NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
Double Resonance Techniques: Overview01:12

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Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

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Related Experiment Video

Updated: Jul 14, 2026

Microfluidic Imaging Flow Cytometry by Asymmetric-detection Time-stretch Optical Microscopy (ATOM)
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Near-field time-reversal amplification.

Stephane G Conti1, Philippe Roux, William A Kuperman

  • 1Marine Physical Laboratory, SIO-UCSD, 9500 Gilman Drive, La Jolla, California 92093-0238, USA. sconti@ucsd.edu

The Journal of the Acoustical Society of America
|June 8, 2007
PubMed
Summary

This study introduces near-field time reversal (NTR) to achieve subwavelength focusing without knowing the original source. The method amplifies weak near-field signals, enabling high-resolution focusing for acoustic waves.

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Area of Science:

  • Acoustics
  • Wave physics
  • Optics

Background:

  • Classical time-reversal mirrors are limited by diffraction to wavelength-order spatial resolution.
  • Previous subwavelength focusing techniques require full source knowledge or near-field evanescent waves.

Purpose of the Study:

  • To demonstrate subwavelength focusing without prior knowledge of the probe source.
  • To introduce and validate the near-field time reversal (NTR) procedure for enhanced spatial resolution.

Main Methods:

  • Recording the field at a distance from the probe source.
  • Amplifying low-amplitude near-field data using analytical continuation of the spatial spectrum.
  • Performing near-field time reversal (NTR) using recorded field phase information.

Main Results:

  • Achieved subwavelength focusing without a priori source information.
  • Successfully amplified weak near-field data for improved spatial resolution.
  • Demonstrated a spatial resolution of lambda/20 with audible acoustic wavefields.

Conclusions:

  • Near-field time reversal (NTR) overcomes the diffraction limit for spatial resolution.
  • NTR enables subwavelength focusing using only the phase of the recorded field.
  • The technique is experimentally validated for acoustic waves in air.