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Passive Filters01:27

Passive Filters

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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...
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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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Humans perceive sound by hearing. The human ear helps sound waves reach the brain, which then interprets the waves and creates the perception of hearing. The loudness of the environment in which a person is located determines whether they can distinguish between different sound sources.
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A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n)  to the number of categories (k).
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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
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High-Pass and Low-Pass Filtered Digits-in-Noise Tests for Estimating Frequency-Specific Hearing Loss.

Karina C De Sousa1,2, Cas Smits3, David R Moore4,5

  • 1Department of Speech-Language Pathology and Audiology, University of Pretoria, South Africa.

Journal of Speech, Language, and Hearing Research : JSLHR
|February 17, 2026
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Summary

High-pass filtered speech (HPS) digits-in-noise (DIN) tests show superior accuracy in detecting hearing loss compared to low-pass filtered speech (LPS) and broadband (BB) DIN tests. HPS DIN offers better sensitivity and specificity for identifying various hearing loss configurations.

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Area of Science:

  • Audiology
  • Speech Perception
  • Hearing Diagnostics

Background:

  • Digits-in-noise (DIN) tests are crucial for assessing speech recognition in noisy environments.
  • Filtered speech, including low-pass filtered speech (LPS) and high-pass filtered speech (HPS), can provide insights into frequency-specific hearing abilities.
  • Understanding the test characteristics of filtered DIN tests is essential for accurate hearing loss detection.

Purpose of the Study:

  • To evaluate the test characteristics of low-pass filtered speech (LPS) and high-pass filtered speech (HPS) digits-in-noise (DIN) tests.
  • To compare the diagnostic accuracy of filtered DIN tests with broadband (BB) DIN tests.
  • To explore the relationship between filtered DIN results and pure-tone average (PTA) thresholds.

Main Methods:

  • 125 participants with normal hearing or sensorineural hearing loss completed BB, LPS, and HPS DIN tests.
  • Test-retest reliability was assessed for filtered DINs in a subset of participants.
  • Diagnostic accuracy was determined by comparing test results with audiometric configurations.

Main Results:

  • Both LPS and HPS DIN tests demonstrated strong test-retest reliability.
  • High-pass filtered speech (HPS) DIN exhibited the highest diagnostic accuracy (AUC up to 0.94) for detecting hearing loss.
  • Low-pass filtered speech (LPS) and broadband (BB) DIN tests showed lower accuracy across different frequency ranges.

Conclusions:

  • High-pass filtered speech (HPS) DIN is superior in sensitivity and specificity for detecting hearing loss compared to BB and LPS DINs.
  • Hearing in high frequencies significantly influences the DIN speech recognition threshold (SRT).
  • Filtered DIN variants offer limited ability to estimate the audiogram's slope.