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Related Concept Videos

Second-order Op Amp Circuits01:19

Second-order Op Amp Circuits

360
Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
360
Active Filters01:25

Active Filters

837
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
837
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

94
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
94
Passive Filters01:27

Passive Filters

545
Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...
545
Op Amp AC Circuits01:18

Op Amp AC Circuits

222
Within an audio system, the filter circuit plays a pivotal role in processing the amplified audio signal from an amplifier. Its primary function is significantly attenuating signal components with lower frequencies, thereby shaping the audio output. This circuit's operations are examined, focusing on the fundamental filter configuration. This configuration involves an operational amplifier arranged in an inverting setup coupled with resistors (R1 and R2) and a capacitor (C1).
222
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

85
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
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Various-Order Low-Pass Filter with the Electronic Change of Its Approximation.

Lukas Langhammer1,2, Roman Sotner3, Radek Theumer3

  • 1Department of Electrical Engineering, Faculty of Military Technology, University of Defence, 60200 Brno, Czech Republic.

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|October 14, 2023
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Summary

This study presents a novel low-pass filter with electronically adjustable characteristics. It allows for order reconfiguration and cut-off frequency control, enhancing signal processing applications.

Keywords:
Bessel approximationButterworth approximationChebyshev approximationcurrent-modeelectronic adjustmentelliptic approximationfrequency filterreconnection-less reconfiguration

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Area of Science:

  • Electrical Engineering
  • Signal Processing
  • Filter Design

Background:

  • Traditional filters have fixed characteristics, limiting their adaptability in dynamic electronic systems.
  • Reconfigurable filters often require complex switching or disconnection, impacting performance and reliability.

Purpose of the Study:

  • To design and validate a low-pass filter with electronically tunable approximation characteristics.
  • To enable seamless, reconnection-less reconfiguration of filter order and cut-off frequency.
  • To investigate the impact of electronic characteristic adjustment on various filter approximations.

Main Methods:

  • Development of a novel low-pass filter architecture enabling electronic control.
  • Investigation of Butterworth, Bessel, Elliptic, Chebyshev, and Inverse Chebyshev approximations.
  • Validation through PSpice simulations and experimental measurements, including transient response and sensitivity analysis.

Main Results:

  • Demonstrated electronic control over approximation characteristics and filter order (1st-4th order).
  • Verified performance through simulations and experimental data, showing feasibility.
  • Analysis confirmed benefits for general signal processing and sensor applications.

Conclusions:

  • The proposed filter design offers unprecedented electronic flexibility in filter response shaping.
  • This innovation facilitates adaptive signal processing and enhanced sensor integration.
  • The filter's reconfigurability and tunability present a significant advancement in analog filter technology.