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Related Concept Videos

Deflection of a Beam01:19

Deflection of a Beam

Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Polar Coordinates: Problem Solving01:27

Polar Coordinates: Problem Solving

Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos⁡(2θ), features four symmetric lobes, each...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these areas.
Doppler Effect - II01:05

Doppler Effect - II

The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...

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Related Experiment Video

Updated: Jun 28, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Distortion-free delta-sigma beamforming.

Carl-Inge Colombo Nilsen1, Sverre Holm

  • 1Dept. of Inf., Univ. of Oslo, Oslo, Norway. carlingn@ifl.uio.no

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|November 7, 2008
PubMed
Summary

This study introduces a new method to remove distortion in digital beamformers using delta-sigma converters. The novel technique enhances signal quality without adding system complexity.

Area of Science:

  • Electrical Engineering
  • Signal Processing

Background:

  • Digital beamformers commonly use delta-sigma analog-to-digital converters (A/D).
  • Applying dynamic delays to the delta-sigma bitstream introduces signal distortion.
  • Existing methods to mitigate this distortion often increase system complexity.

Purpose of the Study:

  • To analyze distortion in digital beamformers with 1-bit delta-sigma A/D converters.
  • To introduce a new, low-complexity method for distortion removal.
  • To validate the new method through theoretical analysis and simulations.

Main Methods:

  • Analysis of a compact, digital delay-and-sum beamformer architecture.
  • Application of dynamic delays directly to the delta-sigma modulated bitstream.
  • Development and description of a novel distortion removal technique using standard system terminology.

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Main Results:

  • Characterization of signal distortion caused by time-variant operations in delta-sigma demodulators.
  • Introduction of a new method to eliminate distortion without significant complexity increase.
  • Theoretical and simulation-based validation of the proposed distortion removal technique.

Conclusions:

  • The novel method effectively removes distortion in digital beamformers with delta-sigma A/D converters.
  • The proposed technique offers a practical solution for improving signal fidelity.
  • This approach presents advantages in performance without compromising system simplicity.