Calculations
Calculating wind noise reduction can be confusing because it involves both a logarithmic scale and a frequency-weighted measurement that mimics human hearing. This page details the methodologies used to quantify noise reduction, focusing on how decibel measurements, particularly dB(A), are converted into meaningful percentage values. We will cover the calculations that underpin these metrics, providing clarity on the difference between a percentage reduction in sound pressure and a percentage reduction as perceived by the human ear.
Cycling ear-wind noise is primarily comprised of pseudo sound and dipole acoustic sound:
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Pseudo-Sound: This refers to the direct, non-propagating pressure variations within the turbulent airflow immediately surrounding and impinging upon the ear canal opening. Think of it as the chaotic "whooshing" sensation you feel and hear directly on your ear. As we've noted, pseudo sound is hydrodynamic.
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Dipole Acoustic Sound: As airflow separates and sheds vortices from various parts of the cyclist's head and helmet (e.g., ear, helmet edges, straps), these unsteady fluid-structure interactions can generate propagating acoustic waves. These are sound waves that travel to your eardrum. As we've noted, dipole is acoustic.
A microphone, placed correctly in the ear canal, can accurately capture both of these sources.
Microphones
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Professional ultra-high-sensitivity microphones
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In the canal placement for accurate measurements*
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Pre-test microphone calibration is critical for accuracy
*In the canal microphone placement ensures the most accurate and representative measurement of the sound pressure level reaching the eardrum, directly accounting for the unique acoustic properties and resonances of an individual's ear canal and offering a degree of natural protection from the direct turbulent wind flow. Incorrect placement outside the ear canal can produce overstated wind noise reduction performance measurements.
Testing Environments:
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Wind Tunnel: Our custom aeroacoustic (open-wall) wind tunnel ensures consistent and repeatable testing.
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Real-World Testing: While less controlled, real-world testing on a bicycle provides valuable data under actual riding conditions. This involves riding at consistent speeds on a predefined course and recording wind noise.
Data Acquisition: The microphones capture the sound as an analog electrical signal, which is then converted into a digital signal using an Analog-to-Digital Converter. This digital data, representing the sound pressure fluctuations over time, is then ready for analysis. We use a Zoom audio recorder and TrueRTA, Sigview, and MATLAB for signal analysis.
Pascals (Pa) => Decibels (dB)
The fundamental unit of pressure is the Pascal (Pa), which is defined as one newton of force per square meter (1 N/m^2). For sound, we're talking about incredibly small pressure fluctuations. The reference point for 0 dB SPL, the threshold of human hearing, is 20 micropascals (20 \mu Pa). A micropascal is one-millionth of a Pascal. This is an extremely small pressure fluctuation. On the other end of the scale, the threshold of pain for human hearing is roughly 20 Pascals (Pa), which corresponds to about 120 dB SPL.
Putting this into perspective, the difference in pressure between a whisper and a jet engine is not linear. A 20 Pa sound pressure is one million times greater than a 20 \mu Pa sound pressure. This is precisely why the decibel scale is so useful. Instead of dealing with the unwieldy range of 20 \mu Pa to 20 Pa and all the zeros in between, we can use a simple, logarithmic scale from 0 dB to 120 dB. The microphone, acting as a pressure sensor, detects these Pascal fluctuations, and the decibel scale is the convenient measurement system we use to interpret and quantify them.
To measure and analyze cycling wind noise, acoustic measurement is combined with signal processing techniques. Decibels dB(A) are used to quantify the loudness, while Fast Fourier Transform (FFT) helps deconstruct its frequency components. This detailed FFT analysis is critical for evaluating the performance of wind noise reduction solutions.

A prominent peak appears on the Fast Fourier Transform (FFT) because the ear canal's natural resonance amplifies a specific frequency range*
*any wind noise or WNR analysis that does not include the influence of the ear canal is inaccurate
This chart displays the frequency spectrum of wind noise, with two distinct lines showing the difference between unweighted decibel (dB) levels and A-weighted decibel (dBA) levels. The solid line (dB) represents the raw, unweighted sound pressure level across all frequencies. It shows a significant amount of sound energy concentrated in the very low-frequency range (below 100 Hz). The dashed line (dBA) applies an A-weighting filter, which mimics the way the human ear perceives loudness. Because the human ear is less sensitive to low-frequency sounds, the A-weighted curve is noticeably lower in this range. This visual comparison highlights that while a significant amount of sound energy exists at low frequencies (as shown by the dB line), much of it is not perceived as loud by the human ear.

Quantifying sound reduction, especially for turbulent airflow like cycling wind noise, is difficult using a simple linear percentage because sound is measured on a logarithmic decibel (dB) scale. Our perception of loudness is also non-linear and doesn't match a linear percentage scale. Accurately measuring noise reduction requires a multi-pronged approach that combines objective physical measurements with psychoacoustical models that capture the subjective human experience of hearing. The chart above shows a 16.83 dB(A) reduction. This equals approximately 70%.
Here is a breakdown of the key measurements used to describe sound:
1. Sound Pressure Level (SPL)
In the context of cycling ear-wind noise (i.e. fluid dynamics), Sound Pressure Level can be related to either acoustic (propagating sound waves) or hydrodynamic (localized, non-propagating pressure variations in turbulent flow). It's measured in Pascals (Pa) at the eardrum, and converted to sound pressure level in decibels (dB) using a logarithmic formula that compares the measured pressure to a standard reference pressure.

2. Sound Power and Intensity
Sound Power is the total sound energy emitted by a source per unit time, regardless of the environment or distance. It's like the wattage rating of a lightbulb. Sound Power is measured in watts (W). Sound Intensity is the sound power per unit area, indicating the flow of sound through a specific area. Sound Intensity is measured in watts per square meter (W/m^2). Clearly, sound power and Intensity are not useful for describing cycling ear-wind noise.

3. Sound Loudness (Psychoacoustic)
Sound Loudness is how humans subjectively experience sound. The conversion of Sound Pressure Level (SPL) from unweighted decibels (dB) to A-weighted (auditory) decibels (dBA) is a key process that adjusts for the non-linear way humans perceive sound at various frequencies. Our ears are most sensitive to frequencies in the mid-range (around 1-6 kHz), while our sensitivity diminishes for very low and very high frequencies. The A-weighting filter applies specific corrections to sound pressure measurements to mimic this physiological response, providing a single dBA value that better correlates with the perceived loudness of a sound than a raw decibel (dB) reading.

Please note that the dBA adjustment becomes less relevant at higher sound levels. This is because the A-weighting curve was originally designed to model the human ear's response to low-level sounds, specifically around 40 dB. For significantly higher sound levels, other weighting curves are sometimes used to capture more low-frequency content.

Based on extensive wind tunnel and road testing at different speeds and turbulence intensities, we believe the following chart provides close approximations for the performance of our products. Cat-Ears and AirStreamz also deliver a broadband reduction that is challenging to quantify with a single metric. There can be variation based on head and ear shape. Proper installation and helmet strap location can also impact individual WNR performance.

*Average Wind Noise Reduction Between 15 and 25 MPH. Customer feedback indicates that these percentages accurately reflect the effectiveness of Cat-Ears and AirStreamz products.
At Cat-Ears, we imagine, solve, design, and lead. Always with unyielding integrity.