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

Rectangular and Triangular Pulse Function01:19

Rectangular and Triangular Pulse Function

The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
Convolution Properties II01:17

Convolution Properties II

The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
Impulse Response01:17

Impulse Response

The impulse response is the system's reaction to an input impulse. In an RC circuit, the voltage source is the input, and the capacitor's voltage is the output. The system's state and output response before and after input excitation are distinctly defined.
Kirchhoff's law forms an input signal equation, with the capacitor's current and voltage providing the output. Substituting the current and dividing by RC yields a differential equation. The output for an impulse input is the impulse...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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 sampling...
Deconvolution01:20

Deconvolution

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.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
Convolution Properties I01:20

Convolution Properties I

Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:

You might also read

Related Articles

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

Sort by
Same author

Producing Bessel Beams With an RF Transformer.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2025
Same author

Remote Super-Resolution Mapping of Wave Fields.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2025
Same author

Modulation of Point Spread Function for Super-Resolution Imaging.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2023
Same author

Ultrasound Concave 2-D Ring Array for Retinal Stimulation.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2023
Same author

Performance Enhanced Ultrasound Probe Tracking With a Hemispherical Marker Rigid Body.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2021
Same author

Fabrication of an Extremely Cheap Poly(3,4-ethylenedioxythiophene) Modified Pencil Lead Electrode for Effective Hydroquinone Sensing.

Polymers·2021
Same journal

Ultrasonic characterization of functionally graded materials using a continuously graded model and spectral inversion.

Ultrasonics·2026
Same journal

Frequency-wavenumber domain inversion for arterial viscoelasticity.

Ultrasonics·2026
Same journal

Pressure- and frequency-dependent acoustic behavior of second-generation acoustic reporter genes-expressing bacteria for optimized ultrasound imaging.

Ultrasonics·2026
Same journal

Laser ultrasonic detection for strut defects in additively manufactured lattice structure using zero-group-velocity Lamb waves.

Ultrasonics·2026
Same journal

A hemispherical bubble induced by ultrasonic vibration observed by high-speed X-ray imaging.

Ultrasonics·2026
Same journal

Rayleigh damping for approximating Lamb wave attenuation in finite element simulations.

Ultrasonics·2026
See all related articles

Related Experiment Video

Updated: Jun 8, 2026

A Methodological Protocol and Considerations for Transcranial Ultrasonic Stimulation in Exploratory Clinical Human Studies
09:47

A Methodological Protocol and Considerations for Transcranial Ultrasonic Stimulation in Exploratory Clinical Human Studies

Published on: December 12, 2025

A new algorithm for spatial impulse response of rectangular planar transducers.

Jiqi Cheng1, Jian-Yu Lu, Wei Lin

  • 1Department of Biomedical Engineering, Stony Brook University, Stony Brook, NY 11794, USA.

Ultrasonics
|September 25, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a simplified, exact method for calculating spatial impulse responses of rectangular transducers. The new algorithm enhances computational efficiency for ultrasound imaging system development.

More Related Videos

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

A Stable Phantom Material for Optical and Acoustic Imaging
04:54

A Stable Phantom Material for Optical and Acoustic Imaging

Published on: June 16, 2023

Related Experiment Videos

Last Updated: Jun 8, 2026

A Methodological Protocol and Considerations for Transcranial Ultrasonic Stimulation in Exploratory Clinical Human Studies
09:47

A Methodological Protocol and Considerations for Transcranial Ultrasonic Stimulation in Exploratory Clinical Human Studies

Published on: December 12, 2025

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

A Stable Phantom Material for Optical and Acoustic Imaging
04:54

A Stable Phantom Material for Optical and Acoustic Imaging

Published on: June 16, 2023

Area of Science:

  • Acoustics
  • Ultrasound Technology
  • Computational Physics

Background:

  • Calculating spatial impulse responses for rectangular planar transducers often involves approximations or complex geometry.
  • Existing methods can be computationally intensive and may lack precision.

Purpose of the Study:

  • To develop a simplified, exact solution for spatial impulse responses of rectangular planar transducers.
  • To improve the computational efficiency of spatial impulse response calculations and continuous field predictions.
  • To demonstrate the practical applications of the new algorithm in array transducer design and ultrasound imaging.

Main Methods:

  • Developed an exact solution using trigonometric functions and set operations, implementing the Rayleigh integral without approximations.
  • Established a nonlinear relationship for spatial impulse responses between field points sharing a transducer projection.
  • Incorporated this relationship into a numerical algorithm for enhanced computational performance.

Main Results:

  • The new algorithm provides an exact implementation of the Rayleigh integral, avoiding far-field or paraxial approximations.
  • Computational efficiency for spatial impulse responses and continuous fields improved by approximately 20-fold and 14-fold, respectively.
  • Numerical simulations and experiments validated the accuracy and efficiency of the algorithm for array transducer applications.

Conclusions:

  • The simplified and exact solution offers a significant advancement in calculating spatial impulse responses for rectangular planar transducers.
  • The enhanced computational efficiency makes the algorithm highly suitable for designing various array transducer configurations.
  • This method has direct applications in developing advanced ultrasound imaging systems for nondestructive assessment.