Skip to content

Automatic headphone equalization from frequency responses

License

Notifications You must be signed in to change notification settings

AntoLupo/AutoEq

 
 

Repository files navigation

AutoEQ

TL;DR If you are here just looking to make your headphones sound better, find your headphone model in results folder's recommended headphones list and follow instructions in Usage section.

About This Project

AutoEQ is a project for equalizing headphone frequency responses automatically and it achieves this by parsing frequency response measurements and producing a equalization settings which correct the headphone to a neutral sound. This project currently has 1000+ headphones covered in the results folder. See Usage for instructions how to use the results with EqualizerAPO and Results section for details about parameters and how the results were obtained.

AutoEQ is not just a collection of automatically produced headphone equalization settings but also a tool for equalizing headphones for yourself. frequency_response.py provides methods for reading data, equalizing it to a given target response and saving the results for usage with EqualizerAPO. It's possible to use different compensation (target) curves, apply tilt for making the headphones brighter/darker and adding a bass boost. It's even possible to make one headphone sound (roughly) like another headphone. For more info about equalizing see Equalizing

Third major contribution of this project is the measurement data and compensation curves all in a numerical format. Everything is stored as CSV files so they are easy to process with any programming language or even Microsoft Excel. See Data Processing for more technical description about how things were obtained and processed.

sennheiser-hd650

Sennheiser HD 650 equalization results plotted

Usage

Equalization settings produced by AutoEQ are EqualizerAPO GraphicEQ configuration lines and parametric equalizer peaking filters, one for each headphone processed. GraphicEQ settings look like this:

GraphicEQ: 20 0.0; 22 6.0; 23 6.0; 25 6.0; 26 5.9; 28 5.6; 30 5.3; 32 4.8; 35 4.3; 37 3.9; 40 3.5; 42 3.3; 45 3.0; 49 2.7; 52 2.6; 56 2.5; 59 2.1; 64 1.8; 68 1.9; 73 2.2; 78 1.7; 83 0.9; 89 0.3; 95 -0.2; 102 -0.7; 109 -1.1; 117 -1.5; 125 -1.9; 134 -2.2; 143 -2.5; 153 -2.6; 164 -2.5; 175 -2.5; 188 -2.6; 201 -2.7; 215 -2.5; 230 -2.4; 246 -2.3; 263 -2.2; 282 -2.0; 301 -1.9; 323 -1.8; 345 -1.5; 369 -1.5; 395 -1.4; 423 -1.2; 452 -1.0; 484 -1.0; 518 -1.0; 554 -0.8; 593 -0.5; 635 -0.4; 679 -0.5; 726 -0.3; 777 -0.2; 832 -0.4; 890 -0.6; 952 -0.4; 1019 -0.1; 1090 -0.5; 1167 -0.8; 1248 -1.0; 1336 -1.1; 1429 -1.3; 1529 -1.3; 1636 -1.6; 1751 -1.6; 1873 -1.4; 2004 -0.9; 2145 -0.7; 2295 -0.5; 2455 -0.2; 2627 0.1; 2811 -0.1; 3008 -0.6; 3219 -1.1; 3444 -1.0; 3685 -0.6; 3943 0.0; 4219 -0.0; 4514 -0.1; 4830 0.9; 5168 3.8; 5530 5.9; 5917 5.2; 6331 4.4; 6775 3.9; 7249 1.3; 7756 0.3; 8299 0.0; 8880 0.0; 9502 0.0; 10167 0.0; 10879 0.0; 11640 0.0; 12455 0.0; 13327 0.0; 14260 0.0; 15258 0.0; 16326 0.0; 17469 0.0; 18692 0.0; 20000 0.0

Parametric eq settings can be used with Peace or any other parametric eq which has at least 5 bands available. Even fewer bands is possible but pre-computed results require to use minimum five first of the filters.

HeSuVi

Easiest way is to install HeSuVi and select correct headphone model from the Equalizer tab. There is no need to download results from the results folder because HeSuVi ships with all of the recommended results. Please note that after installing HeSuVi will have surround virtualization on and if you don't want to use it you can select none.wav from the left side list on the Virtualization tab.

HeSuVi is GUI for EqualizerAPO which has almost all headphone surround virtualizations available. HeSuVi also provides a convenient graphical user interface for adjusting the equalizer, toggling eq on and off, adjusting preamp and saving and restoring multiple different configurations making it very easy to compare different eq settings.

If some reason HeSuVi doesn't include a headphone available in this project or if you wish to try out some other than the recommended result the file can be added manually. To add a preset into HeSuVi add the GraphicEq file into C:\Program Files\EqualizerAPO\config\HeSuVi\eq\custom. Then restart HeSuVi, select the new preset from the custom group in Equalizer tab and set volume attenuation for both channels to the highest positive gain value in preset.

hesuvi

HeSuVi GUI for EqualizerAPO

Peace and Other Parametric Equalizers

Peace is a GUI for manipulating parametric eq filters with EqualizerAPO. Peace also has visualization for the end result equalization frequency response, profile manager for multiple different eq settings and a switch for disabling everything among other features. Load eq settings into Peace by clicking Import button and select the ParametricEQ.txt file.

To load an eq into a some other graphic equalizer you'll have to adjust preamp and build the filters manually because the configuration file produced is only compatible with EqualizerAPO.

Keep in mind that parametric eq produced is not as accurate as graphic eq because there is limited number of filters. This might not have any significant difference in practice though.

peace

Peace with full GUI for EqualizerAPO

Plain EqualizerAPO

It's possible to use plain EqualizerAPO and edit configuration file in C:\Program Files\EqualizerAPO\config\config.txt. Disable Include: example.txt, replace GraphicEQ: ... line with the one found in results and set Preamp: .... Using Sennheiser HD 650 would make config file look like this:

Preamp: -6 dB
# Include: example.txt
GraphicEQ: 20 0.0; 22 6.0; 23 6.0; 25 6.0; 26 5.9; 28 5.6; 30 5.3; 32 4.8; 35 4.3; 37 3.9; 40 3.5; 42 3.3; 45 3.0; 49 2.7; 52 2.6; 56 2.5; 59 2.1; 64 1.8; 68 1.9; 73 2.2; 78 1.7; 83 0.9; 89 0.3; 95 -0.2; 102 -0.7; 109 -1.1; 117 -1.5; 125 -1.9; 134 -2.2; 143 -2.5; 153 -2.6; 164 -2.5; 175 -2.5; 188 -2.6; 201 -2.7; 215 -2.5; 230 -2.4; 246 -2.3; 263 -2.2; 282 -2.0; 301 -1.9; 323 -1.8; 345 -1.5; 369 -1.5; 395 -1.4; 423 -1.2; 452 -1.0; 484 -1.0; 518 -1.0; 554 -0.8; 593 -0.5; 635 -0.4; 679 -0.5; 726 -0.3; 777 -0.2; 832 -0.4; 890 -0.6; 952 -0.4; 1019 -0.1; 1090 -0.5; 1167 -0.8; 1248 -1.0; 1336 -1.1; 1429 -1.3; 1529 -1.3; 1636 -1.6; 1751 -1.6; 1873 -1.4; 2004 -0.9; 2145 -0.7; 2295 -0.5; 2455 -0.2; 2627 0.1; 2811 -0.1; 3008 -0.6; 3219 -1.1; 3444 -1.0; 3685 -0.6; 3943 0.0; 4219 -0.0; 4514 -0.1; 4830 0.9; 5168 3.8; 5530 5.9; 5917 5.2; 6331 4.4; 6775 3.9; 7249 1.3; 7756 0.3; 8299 0.0; 8880 0.0; 9502 0.0; 10167 0.0; 10879 0.0; 11640 0.0; 12455 0.0; 13327 0.0; 14260 0.0; 15258 0.0; 16326 0.0; 17469 0.0; 18692 0.0; 20000 0.0

EqualizerAPO has a graphical user interface for adjusting configurations. Launch the editor from C:\Program Files\EqualizerAPO\Editor.exe.

equalizerapo-editor

EqualizerAPO Editor GUI

Results

The main principle used by AutoEQ for producing the equalization function is to invert error curve. Error is the difference between raw microphone data and the compensation (target) curve. If headphone's frequency response is 4 dB below the target at 20 Hz equalization function will have +4 dB boost at 20 Hz. In reality simply inverting the error is not sufficient since measurements and equalization have several problems that need to be addressed, see Technical Challenges for more details.

Results provided in this project currently have all the headphone measurements from Innerfidelity, Headphone.com, oratory1990 and Rtings. Results are organized by source/target/headphone so a Sennheiser HD 650 measured by Innerfidelity and tuned to a target by SBAF-Serious would be found in innerfidelity/sbaf-serious/Sennheiser HD 650. Multiple measurements of a same heaphone by a same measurement entity are averaged. All different measurements for averaging have been renamed with snXXX (serial number) or sample X in the end of the name to distinguish from the averaged data which has no suffixes in the name.

oratory1990 measurements have been done on Gras 43AG and 43AC couples, the same which were used to develop Harman target responses by Olive et al. and therefore use Harman target responses for the equalization targets. These results are recommended over all other measurements because of this reason. Harman target data is in the compensation folder.

Innerfidelity and Headphone.com measured headphones have SBAF-Serious target only. This is a modified version of Innerfidelity target curve produced by Serious user on Super Best Audio Friends forum. This curve doesn't have any glaring problems and is quite well balanced overall. Curve was turned into a compensation for raw microphone data and tilted 0.2 dB / octave brighter. Innerfidelity measurements are recommended over Headphone.com measurements because SBAF-Serious target was developed for Innerfidelity. SBAF-Serious curve was modified to be suitable for Headphone.com measurements by calibrating it. CSV data files for Innerfidelity and Headphone.com are at innerfidelity/resources/innerfidelity_compensation_sbaf-serious.csv and headphonecom/resources/headphonecom_compensation_sbaf-serious.csv, respectively.

TODO: Rtings target curves

This project also has other compensation curves which have not been used for pre-processed results for simplicity.

Innerfidelity 2017 compensation curve is the result of Tyll Hertsens calibrating his measurement head on the Harman reference listening room and is a significant improvement over the old compensation curve used in PDFs. However 2017 curve seems to underestimate 2 to 5 kHZ region by several dB leading the equalization to boost those frequencies too much. See the original post and the sequel on Innerfidelity for more details. Data can be found in innerfidelity/resources/innerfidelity_compensation_2017.csv

Headphone.com compensation curve is used by Headphone.com with their Frequency Response graphs but this seems to underestimate treble even more than the 2017 Innerfidelity curve leading to even brighter equalization. Data location: headphonecom/resources/headphonecom_compensation.csv

None of these targets have bass boost seen in Harman target responses and therefore a +4dB boost was applied for all on-ear headphones, +6dB for in-ear headphones and no boost for earbuds. Harman targets actually ask for about +6dB for on-ears and +10dB for in-ears but since most headphones cannot achieve this with positive gain limited to +6dB a smaller boost was selected. Above 6 to 8kHz data is filtered more heavily to avoid measurement artifacts and no positive gain (boost) is applied. In the upper treble measurements are less reliable and boosting them too much will cause serious problems while having some narrow dips is not a problem at all.

Equalizing

frequency_response.py is the tool used to produce the equalization results from measurement data. There is no fancy graphical user interface but instead it is used from command line.

Installing

  • Download AutoEQ zip and exctract to a convenient location. Or just git clone if you know what that means.
  • Download and install Python3.6. Python 3.7 is not supported yet. Make sure to check Install Python3 to PATH
  • Install virtualenv. Run this on command prompt. Search cmd in Windows start menu.
pip install virtualenv
  • Go to AutoEQ location
cd C:\path\to\AutoEq-master
  • Create virtual environment
virtualenv venv
  • Activate virtualenv
venv\Scripts\activate
  • Install required packages
pip install -r requirements.txt
  • Verify installation
python frequency_response.py -H

When coming back at a later time you'll only need to activate virtual environment again

cd C:\path\to\AutoEq-master
venv\Scripts\activate

Command Line Arguments

usage: frequency_response.py [-h] --input_dir INPUT_DIR
                             [--output_dir OUTPUT_DIR]
                             [--calibration CALIBRATION]
                             [--compensation COMPENSATION] [--equalize]
                             [--parametric_eq] [--max_filters MAX_FILTERS]
                             [--bass_boost BASS_BOOST]
                             [--iem_bass_boost IEM_BASS_BOOST] [--tilt TILT]
                             [--max_gain MAX_GAIN]
                             [--treble_f_lower TREBLE_F_LOWER]
                             [--treble_f_upper TREBLE_F_UPPER]
                             [--treble_max_gain TREBLE_MAX_GAIN]
                             [--treble_gain_k TREBLE_GAIN_K] [--show_plot]

optional arguments:
  -h, --help            show this help message and exit
  --input_dir INPUT_DIR
                        Path to input data directory. Will look for CSV files
                        in the data directory and recursively in sub-
                        directories.
  --output_dir OUTPUT_DIR
                        Path to results directory. Will keep the same relative
                        paths for files foundin input_dir.
  --calibration CALIBRATION
                        File path to CSV containing calibration data. Needed
                        when using target responsesnot developed for the
                        source measurement system. See `calibration`
                        directory.
  --compensation COMPENSATION
                        File path to CSV containing compensation (target)
                        curve. Compensation is necessary when equalizing
                        because all input data is raw microphone data. See
                        "compensation", "innerfidelity/resources" and
                        "headphonecom/resources".
  --equalize            Will run equalization if this parameter exists, no
                        value needed.
  --parametric_eq       Will produce parametric eq settings if this parameter
                        exists, no value needed.
  --max_filters MAX_FILTERS
                        Maximum number of filters for parametric EQ. Multiple
                        cumulative optimization runscan be done by giving
                        multiple filter counts separated by "+". "5+5" would
                        create10 filters where the first 5 are usable
                        independently from the rest 5 and the last5 can only
                        be used with the first 5. This allows to have muliple
                        configurationsfor equalizers with different number of
                        bands available. Not limited by default.
  --bass_boost BASS_BOOST
                        Target gain for sub-bass in dB. Has sigmoid slope down
                        from 35 Hz to 280 Hz. "--bass_boost" is mutually
                        exclusive with "--iem_bass_boost".
  --iem_bass_boost IEM_BASS_BOOST
                        Target gain for sub-bass in dB. Has sigmoid slope down
                        from 25 Hz to 350 Hz. "--iem_bass_boost" is mutually
                        exclusive with "--bass_boost".
  --tilt TILT           Target tilt in dB/octave. Positive value (upwards
                        slope) will result in brighter frequency response and
                        negative value (downwards slope) will result in darker
                        frequency response. 1 dB/octave will produce nearly 10
                        dB difference in desired value between 20 Hz and 20
                        kHz. Tilt is applied with bass boost and both will
                        affect the bass gain.
  --max_gain MAX_GAIN   Maximum positive gain in equalization. Higher max gain
                        allows to equalize deeper dips in frequency response
                        but will limit output volume if no analog gain is
                        available because positive gain requires negative
                        digital preamp equal to maximum positive gain.
                        Defaults to 6.0.
  --treble_f_lower TREBLE_F_LOWER
                        Lower bound for transition region between normal and
                        treble frequencies. Treble frequencies can have
                        different smoothing, max gain and gain K. Defaults to
                        6000.0.
  --treble_f_upper TREBLE_F_UPPER
                        Upper bound for transition region between normal and
                        treble frequencies. Treble frequencies can have
                        different smoothing, max gain and gain K. Defaults to
                        8000.0.
  --treble_max_gain TREBLE_MAX_GAIN
                        Maximum positive gain for equalization in treble
                        region. Defaults to 0.0.
  --treble_gain_k TREBLE_GAIN_K
                        Coefficient for treble gain, affects both positive and
                        negative gain. Useful for disabling or reducing
                        equalization power in treble region. Defaults to 1.0.
  --show_plot           Plot will be shown if this parameter exists, no value
                        needed.

Examples

Equalizing Sennheiser HD 650 and saving results to myresults/HD650:

python frequency_response.py --input_dir="innerfidelity\data\onear\Sennheiser HD 650" --output_dir="myresults\HD650" --compensation="innerfidelity\resources\innerfidelity_compensation_sbaf-serious.csv" --equalize --bass_boost=4 --show_plot

Equalizing Beyerdynamic DT990 without saving results

python frequency_response.py --input_dir="headphonecom\data\onear\Beyerdynamic DT990" --compensation="headphonecom\resources\headphonecom_compensation.csv" --equalize --bass_boost=4 --show_plot

Equalizing Beyerdynamic DT990 to SBAF-Serious target

python frequency_response.py --input_dir="headphonecom\data\onear\Beyerdynamic DT990" --compensation="headphonecom\resources\headphonecom_compensation_sbaf-serious-brighter.csv" --equalize --bass_boost=4 --show_plot

Equalizing all Headphone.com on-ear headphones and saving results to results\onear\sbaf-serious\headphonecom. There is a lot of headphones and we don't want to inspect all visually so we'll omit --show_plot

python frequency_response.py --input_dir="headphonecom\data\onear" --output_dir="results\headphonecom\sbaf-serious" --compensation="innerfidelity\resources\innerfidelity_compensation_sbaf-serious.csv" --equalize --bass_boost=4

Equalizing Beyerdynamic DT 770 to sound like HiFiMAN HE400S. 80ohm version of DT 770 is only available in Headphone.com measurements and HE400S only in Innerfidelity measurements so we'll use calibration. To make the bass sound the same we'll omit bass boost.

python frequency_response.py --input_dir="headphonecom\data\onear\Beyerdynamic DT770" --output_dir="myresults\Beyerdynamic DT770" --compensation="innerfidelity\data\onear\HiFiMAN HE400S\HiFiMAN HE400S.csv" --calibration="calibration\headphonecom_raw_to_innerfidelity_raw.csv" --equalize --show_plot

Viewing HiFiMAN HE400S raw microphone data

python frequency_response.py --input_dir="innerfidelity\data\onear\HiFiMAN HE400S" --show_plot

Feel free to experiment more.

More Data!

If data for you headphone cannot be found in this project but you have an image of the frequency response you might be able to use https://apps.automeris.io/wpd/ to parse the image. You'll have to add header row to the CSV file. Header row is the first line of the file and must be exactly frequency,raw. The produced CSV file is the input data not the actual result. Save the file to an empty folder in a convenient location and point --input_dir to the folder path when running frequency_response.py. For more instructions on the usage of WebPlotDigitizer see the tutorial video.

Server

AutoEQ has a HTTP server for clients such as graphical user interfaces or web apps. This is the API documentation. Currently only one route /process exists.

POST /process

Request
JSON request with MIME-type of application/json and data:

  • calibration [float]|str Calibration data. Either name of the calibration curve as string (see below for supported curve names) or list of floats matching frequency data.
  • compensation [float]|str Compensation data. Either name of the compensation curve as string (see below for supported curve names) or list of floats matching frequency data.
  • equalize bool Run equalization?
  • parametric_eq bool Optimize peaking filters for parametric eq?
  • max_filters int|[int] Maximum number of peaking filters for filter optimization run. Can be omitted for automatic selection. Can also be a list in which case there will be multiple runs, each building on top of the previous filters.
  • bass_boost float Bass boost amount in dB for over-ear headphones. Mutually exclusive with iem_bass_boost.
  • iem_bass_boost float Bass boost amount in dB for in-ear headphones. Mutually exclusive with bass_boost.
  • tilt float Target frequency response tilt in db / octave.
  • max_gain float Maximum positive gain in dB. Higher equalization values will be clipped.
  • treble_f_lower float Lower bound for treble transition region.
  • treble_f_upper float Upper boud for treble transition region.
  • treble_max_gain float Maximum gain in treble region.
  • treble_gain_k float Gain coefficient in treble region.

Response
JSON response with data:

  • equalization [float] Equalization curve.
  • equalized_raw [float] Raw frequency response after equalization.
  • equalized_smoothed [float] Smoothed frequency response after equalization.
  • error [float] Error curve.
  • error_smoothed [float] Smoothed error curve.
  • filters [[float]] List of parametric eq peaking filters. Each item contains center frequency (Fc), quality (Q) and gain.
  • frequency [float] Frequency data.
  • max_gains [float] List of maximum gains for each parametric eq filter group frequency response.
  • n_filters [float] List of number of filters in each parametric eq filter group
  • raw [float] Raw frequency response.
  • smoothed [float] Smoothed frequency response.
  • target [float] Target frequency response.

Calibration

Innerfidelity and Headphone.com have different kind of measurement systems and since there is no any kind of standard calibration for headphone frequency response measurements the data produced by these systems are not directly compatible with each other. Same individual headphone will measure differently in the two systems. This actually applies for all of the existing measurement systems.

To have comparable equalization results and to be able to use all compensation curves for both measurements a calibration was done. Calibration made is not as reliable as a real calibration where a set of reference headphones are measured on both systems and outputs compared but instead a same headphone models but different individual units were used. All headphones with same name were selected from Headphone.com measurement database and Innerfidelity measurement database and results were compared model-wise. Final calibration curve was produced by averaging all the measurement pairs and smoothing the averaged curve. This method is problematic because there are large differences between individual headphones due to manufacturing and placement on the measurement head. Standard deviation is quite high about 5dB at 20Hz but still it's probably closer to truth than not using any calibration at all.

calibration

Pictured data is for calibrating Headphone.com measurement to Innerfidelity measurement or in other words estimating how an individual headphone measured by Headphone.com would look like if it was measured by Innerfidelity.

Calibration data is not used as is in the results but instead Innerfidelity SBAF-Serious compensation curve was calibrated to be suitable for Headphone.com measurements. Calibration can be used between Innerfidelity and Headphone.com mainly to make headphones sound like other headphones when both models are from different sources.

Same calibration procedure was done for Innerfidelity and Rtings measurements.

Technical Challenges

Simply inverting headphone frequency response deviation from target response does not usually produce sufficient results. Some problems are caused by imperfections in measurements, some are reliability issues and some are practical end-user problems. Rtings has a good video on Youtube about measurement system challenges and solutions which is definitely worth checking out. Innerfidelity also has a very educational video on Youtube about measurments and what constitutes as a neutral sound. Main takeoffs are that bass and treble measurements are very inconsistent, neutral sound is not very well defined yet and on-ear headphones have big reliability problems in 8 to 9kHz range due to resonances which move when headphone placement is changed. Harman international has done some solid research into preferred headphone frequency response but since that research was done on a different measurement system the target does not apply directly to Innerfidelity (Summer 2018) and Headphone.com measurements.

There is very little that can be done for fighting bass inconsistencies because the same problems will be there whether equalization is used or not. Headphones simply have different bass responses on different listeners (heads). Therefore bass is taken as is in AutoEQ and equalized as if there was nothing wrong with it. You're mileage may wary. Luckily bass has smaller impact on music and having too much bass (especially sub-bass) doesn't create problems of the same magnitude as having too much treble.

Moving resonances around 8 to 9kHz may cause big problems if not taken into account. Spikes and dips in this range are of great amplitude and very narrow. If one equalizes these spikes and dips according to frequency response measurement in worst case scenario a spike will move in a place of dip when headphone is moved and therefore the spike is amplified significantly leading to very sharp and piercing sound signature. To counter these problems by default AutoEQ uses heavy smoothing and limited positive gain above 6 to 8kHz. This way the equalization will follow a broader trend of the region and will not care so much about narrow spikes and dips. Also positive gain is limited to 0dB as an extra safety measure against amplifying moved spike. Suppressing a narrow dip even further is not an optimal thing to do but in practice has little negative effect on the sound. Both of these measures will also alleviate upper treble measurement inconsistencies above 11 to 12 kHz.

A practical end-user problem is if too high positive gain is allowed which asks for equal amount of negative digital pre-amp to prevent clipping. This negative preamp will limit maximum volume produced by the system if there is no analog gain available. If a dedicated headphone amplifier is available or if the motherboard/soundcard can drive the headphones loud enough even when using high negative preamp larger --max_gain values can be uses. By default --max_gain is set to +6dB to not to cripple user's volume too much. Max gain will clip the equalization curve which produces sharp kinks in it. Sharp changes in equalization may produce unwanted equalization artifacts. To counter this AutoEQ rounds the corners whenever max gain clips the curve.

Parametric Equalizer

AutoEQ has an optimizer to fit several peaking filters to the desired equalization curve. Optimization is part heuristic initialization and part mathematical optimization.

In the initialization phase peaks are detected from the target curve and a peaking filter is created to match the peak's height (gain) and location (frequency). This way the optimizer finds suitable number of filters to optimize. If bass region has no peaks and therefore is missing filters entirely, maximum of two filters will be added at 20 Hz and 60 Hz.

A way to limit the number of filters used is provided with max_filters parameter. If there are too many filters after initialization, some filters are removed. First filters with small gain (< 0.2 dB and < 0.33 dB) are removed. If there are too many filters after reduction of small gain filters, nearby filters are attempted to merge. Merged filter will be in the mid point of the merged filters. If merging filters did not reduce the count enough, smallest filters are removed until count matches maximum allowed number of filters. Image below shows initialization for 1More MK801 headphone. Red dots are the peaks of filters before reduction and green dots are the peaks after reduction.

filter-initialization

Equalization target and initial peak filters for optimization before and after filter number limitation

After suitable number of filters have been achieved and filter center frequencies and gains have been set to appropriate values a mathematical optimization is performed to fit sum frequency response of all filters to match as close as possible the desired curve. Optimization is based on gradient descent and will attempt to minimize mean squared error between the sum frequency response of the filters and the target. When improvements in the error are getting too small to make a practical difference the optimization is stopped. Animation below shows progress from the initialization to a close finished curve.

optimization-animation

Optimization of parametric eq filters (click to play)

Below is the end result of optimizing only 5 peaking filters to equalization curve of 1More MK801 headphone. Parametric eq curve deviates from the fine equalization curve in some points but all in all follows the target surprisingly well. The two equalization curves have hardly audible difference. Some headphones are not as easy to equalize properly with limited number of bands because highly erratic curves are impossible to be estimated with only a few peaking filters.

1more-mk801-plot

1More MK801 with parametric equalization

Data Processing

Measurement data for this project was obtained by crawling Innerfidelity, Headphone.com, oratory1990 and Rtings databases. For Innerfidelity that means downloading all PDFs, turning them into images with Ghostscript, parsing images with Python PIL package and saving the numerical data. Numerical data obtained this way is an average of the blue and red curves in the frequency response. These curves have been compensated with the old compensation curve which does not match human perception at all. The old compensation curve was then applied in inverse to turn the compensated data into raw microphone data. This raw microphone data is stored in innerfidelity/data. On-ear, in-ear and ear-bud data is separated because they ask for different AutoEQ parameters.

Headphone.com measurements were downloaded as images, both raw and compensated data. Images were parsed into numerical format and raw data saved to headphonecom/data. Both datas were used to obtain Headphone.com compensation curve by calculating differences between raw and compensated data.

oratory1990 data processing is similar to Innerfidelity because oratory1990 measurements are distributed as PDFs. Compensation curves used for oratory1990 measurements are the Harman target curves.

Rtings measurements were obtained in a similar fashion as the Headphone.com measurements were. Two new compensation curves were developed in addition to the native curve used by Rtings in their measurement reports.

Data processing tools are not meant as a user friendly and robust software but instead to be able to be ran once to obtain the raw data.

TODO

Contributions are more than welcome.

  • Rtings measurements
    • Update results section
  • New oratory1990 measurements
  • Rtings in server
    • Calibrations to Headphone.com
    • Compensation functions
  • Crinacle measurements for IEMs
    • Target response for old measurements
    • Full pipeline for new measurements
  • Usound target
  • Impulse responses
  • Head-fi measurements
    • Full pipeline
  • Reference audio analyzer measurements
    • Use compensated data directly
    • Full pipeline

About

Automatic headphone equalization from frequency responses

Resources

License

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published

Languages

  • Python 98.6%
  • JavaScript 1.4%