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Related Concept Videos

Active Filters01:25

Active Filters

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:
Passive Filters01:27

Passive Filters

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 frequency...
Op Amp AC Circuits01:18

Op Amp AC Circuits

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).
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires careful...

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Related Experiment Video

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

A fully integrated continuous-time 50-Hz notch filter with center frequency tunability.

Haixi Li1, Jinyong Zhang, Lei Wang

  • 1Shenzhen Institutes of Advanced Technology, Chinese Academy of Science, 1068 Xueyuan Avenue, Shenzhen University Town, Shenzhen, PR China.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
|January 19, 2012
PubMed
Summary

This study presents a novel continuous-time notch filter using current steering. The integrated circuit effectively attenuates 50 Hz power line interference and offers tunable frequency, crucial for signal processing applications.

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Area of Science:

  • Electrical Engineering
  • Analog Integrated Circuit Design

Background:

  • Power line interference (e.g., 50 Hz) is a common issue in analog signal processing.
  • Existing notch filters may suffer from limitations in tunability, integration, or performance.

Purpose of the Study:

  • To introduce a novel, fully integrated continuous-time second-order notch filter.
  • To demonstrate effective attenuation of power line interference using a current steering technique.
  • To achieve a tunable center frequency for adaptability to process variations.

Main Methods:

  • Design of a second-order notch filter using integrators, a unity-gain inverter, and alpha blocks.
  • Implementation of the filter circuit using a 0.18 µm 1P6M mixed-signal process.
  • Post-layout simulation to verify performance characteristics.

Main Results:

  • Achieved 55.4 dB attenuation for 50 Hz power line interference.
  • The filter circuit was fully integrated with a compact die area of 0.06 mm².
  • Demonstrated tunability of the filter's center frequency to compensate for process variations.

Conclusions:

  • The proposed current steering-based continuous-time notch filter offers high performance and tunability.
  • The compact, integrated design is suitable for various signal processing applications requiring interference rejection.
  • This work contributes a practical solution for mitigating low-frequency noise in integrated systems.