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Passive Filters

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.
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Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...

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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:

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Upsampling

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The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...

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Related Experiment Video

Updated: Jun 15, 2025

Studying Habituation in Stentor coeruleus

Studying Habituation in Stentor coeruleus

Published on: January 6, 2023

Habituation as optimal filtering.

Samuel J Gershman¹

¹Department of Psychology and Center for Brain Science, Kempner Institute for the Study of Natural and Artificial Intelligence, Harvard University, Cambridge, MA 02138, USA.

|August 23, 2024

Summary

This summary is machine-generated.

Habituation, a decrease in response to repeated stimuli, is explained by a new probabilistic model. This model shows habituation acts as an optimal attentional filter, prioritizing important signals.

Keywords:

Psychology Social sciences computational mathematics

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Area of Science:

Cognitive Neuroscience
Computational Neuroscience
Psychology

Background:

Habituation, the diminished response to repetitive stimuli, is often viewed as an attentional filtering mechanism.
Existing theories lack a formal framework for the filtering principles underlying habituation's key features.

Purpose of the Study:

To develop a formal model of attentional filtering that explains habituation.
To analyze the optimal filtering problem in the context of habituation.

Main Methods:

Development of a simple probabilistic model.
Analysis of the optimal filtering problem using the developed model.

Main Results:

The model successfully replicates major characteristics of habituation.
The model provides insights into less-studied aspects of habituation.

Conclusions:

Habituation can be conceptualized and understood as a form of optimal filtering.
The probabilistic model offers a formalized framework for studying attentional filtering in habituation.