The compression algorithm of an Mp3.


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The compression algorithm of an Mp3.

Mp3 compression algorithm

In addition to the physiological structural properties of the human ear, the function of the brain also plays a very important role.

Mp3 compression algorithm

The pitch in the sound is determined by the fundamental tone, while the timbre is determined by the harmonics, and the human brain will automatically complete the fundamental tone, even if the fundamental tone does not exist. For example, the bandwidth of a telephone is only 300~3200 Hz, but when we listen to a man with a base tone of 120 Hz talking on the telephone, we can still hear his correct tone and will not confuse a boy with a girl. . .

We still don’t know how the brain uses complex calculations to reconstruct this non-existent tone.

PS Add a little visual easter egg, can you see what’s weird about this image?

 

(Please read the answer to the end)

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_ Your vision~ amazing! The human body still has too many unknown magic eggs waiting to be excavated~~


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The compression algorithm of an Mp3.

The compression algorithm of an Mp3.

Mp3 compression algorithm
Mp3 compression algorithm

The birth of the MP3 compression algorithm is nonsense of human organs in the digital age. The whole algorithm is not improved around the math, but rather optimized around how to fool the human hearing organ.

Mp3 compression algorithm
Mp3 compression algorithm

 

So this algorithm is very curious, Baidu finally found information after a long time, and has a little understanding of the principle of it, so please record it.

basic principle
There is a special effect of shading effect on the human hearing model.
The role of the cochlea is as a spectrum analyzer, converting sound waves into signals of different frequencies. The villous cells at each specific location will be stimulated by a specific frequency, but when the basilar membrane leads to fluctuations, the villous cells around it will also be stimulated. That is, if there is a frequency with a high volume, and at the same time there is a relatively weak frequency near it, the sound of the relatively weak frequency will be covered by the relatively loud sound, and our human ears have no way to distinguish the sound There is another sound of a weaker frequency.

To the human ear, the perception characteristics of sound do not change on a linear frequency scale (human hearing is not that good), but can be expressed in a series of limited frequency bands called critical frequency bands. Simply put, the entire frequency band is divided into several segments, and in each frequency band the auditory perception of the human ear is the same, that is, the psychoacoustic characteristics are the same.
Then, according to this principle, the mp3 compression work can be simply divided into two parts:

The first step: dividing the original audio data into several subcritical frequency bands according to certain principles;

Step 2: Analyze the frequency spectrum according to the psychoacoustic model to find the masking effect curve. Then, according to this curve, each sub-frequency band is quantized separately, and finally the compression of the audio is below the masking effect curve.

In this way, mp3 compression is done. And it is surprising that mp3 is really compressed in the digital world, but it belongs to compression without distortion for human perception.

What are MP3 files?

What are MP3 files?

What are MP3 files?

 

The audio format is directly related to the quality and purpose of the audio track, i.e. where and on which device it will be played and what is its purpose.

What are MP3 files?

But before you can figure out the difference between them and choose the best audio format for your music, you need to know what categories they fall into. Let’s keep going!

Uncompressed audio is like a picture, and uncompressed audio is of better quality, larger file size, safer to copy, and nearly identical in detail to the original sound.

WAV is the most widely used of these audio formats and plays music just as accurately as it records it.

compressed audio
When music is compressed, the files become smaller and can be easily stored on a device. Due to this advantage, users tend to choose compressed audio more.

However, it must be remembered that some audio formats in this category may lose quality depending on the option selected, just like MP3 and AAC.

What is the best audio format?
As we said before, the first step in deciding on an audio format is to know the final objective of the track. Whether it’s for music lessons, performances, karaoke, auditions, or recording versions, you need to understand the pros and cons of each option.

WAV
WAV (Waveform Audio File Format) is an uncompressed format and therefore requires ample storage space. This is suitable for those who already work with music, such as subject matter experts, or users who want to edit audio.

At high fidelity rates, WAV faithfully reproduces the elements and characteristics of the original soundtrack. Also, this format allows you to choose between different sample rates and bit rates and can be used on multiple platforms.

FLAC
FLAC (Free Lossless Audio Codec) is one of the most widely used compression formats by music lovers these days.

Digital audio encoding allows you to preserve its quality, but the resulting file will be smaller. Over the years, this format has become more widely used and compatible with different devices and platforms.

FLAC is free and open source, ready to use and can be easily played on smartphones and other devices.

MP3
Before deciding on the best audio format, it is worth taking a look at the most famous format in the world of music: MP3.

MP3 is one of the leading audio compression formats, and has become synonymous with the convenience and efficiency of producing files quickly, with smaller files, and at a certain level of quality.

Many devices and programs can play this format. But MP3 is difficult to use in professional audio processing and advanced audio editing.

As is known, this format exists on almost all platforms and is ideal for sharing audio.

Another interesting factor is its bitrate, although in a compressed format it can vary depending on the user’s objectives and quality improvements.

AAC Like MP3, Advanced Audio Coding (AAC) is a more efficient audio format than its predecessor.

If you need to create smaller files with less storage space, AAC is a great choice, reducing the file size for the user while maintaining a high-quality audio track.

Compatible with different platforms and devices, it is convenient to apply in different situations.

Analysis of the above audio formats leads to the conclusion that it is impossible to say which format is better than the other, just that each target has its own ideal format. So before downloading or uploading a file, check what platform the music will play on and what it is for.

What are MP3 files?

What are MP3 files?

What are MP3 files?
What are MP3 files?

A file with the .mp3 extension is a digitally encoded file format for audio files, officially based on MPEG-1 Audio Layer III or MPEG-2 Audio Layer III.

What are MP3 files?
What are MP3 files?

It was developed by the Moving Picture Experts Group (MPEG) using Layer 3 audio compression. The compression achieved by the MP3 file format is 1/10 the size of a .WAV or .AIF file. This format offers the advantage of streaming such audio files over the Internet for online listening, which was previously not possible due to the large size of audio files. The sound quality of MP3 audio files can be controlled by setting parameters such as bit rate, sample rate, common or normal stereo.

A brief history of MP3

The MP3 format was invented and developed by a German company, Fraunhofer-Gesellshart. The algorithm has licensed patents for the compression techniques it uses. Here’s a helpful MP3 schedule:

• 1987 : The Fraunhofer Institute in Germany begins research on high-quality, low-bitrate audio coding. It’s called the EUREKA project EU147, Digital Audio Broadcasting.

• January 1988: The Moving Picture Experts Group (MPEG) is formed.

• **April 1989**: Fraunhofer patented the MP3 in Germany.

• 1992-Dieter Seitzer, who helped Fraunhofer with his research, integrated his audio encoding with MPEG-1.

• 1993 – Publication of the MPEG-1 standard.

• 1994 – The MPEG-2 standard was developed and released a year later.

• November 26, 1996 : US patent for MP3 is published.

• September 1998 – Fraunhofer begins to enforce the patent. People who used the MP3 audio codec paid Fraunhofer a license fee.

• February 1999 – SubPop, a record label, releases music in MP3 format, the first to do so.

• 1999 – The first portable MP3 player appears.

File format MP3##
MP3 files consist of MP3 frames, where each frame consists of a header and a data block. Frames are not independent and generally cannot be mined at arbitrary frame boundaries. The data blocks of a file contain frequency and amplitude information about the audio. The sync word in the header identifies the start of a valid frame. This is followed by 3 bits where the first bit indicates that it is an MPEG standard and the remaining 2 bits indicate that layer 3 is used; therefore, MPEG-1 Audio Layer 3 or MP3. After this, the value will vary depending on the MP3 file. ISO/IEC 11172-3 defines the range of values for each part of the header and the header specification. Most current MP3 files contain ID3 metadata, which precedes or follows the MP3 frame, as shown. Data streams may contain an optional checksum.

mp3 audio format, the most popular

mp3 audio format, the most popular

mp3 audio format, the most popular

With the rapid development of file compression technology, MP3 has become the most popular music format today.

mp3 audio format, the most popular

MP3 File Format Analysis MP3 file data is made up of multiple frames, and the frame is the smallest unit of the MP3 file. Each frame consists of a frame header, additional information, and sound data. The playback time of each frame is 0.026 seconds, and its duration varies with the bit rate. Some MP3 files have extra bytes at the end to store description information for non-audio data. The structure of the MP3 file is shown in Figure 2. 3.1 Frame header format The frame header is 4 bytes long. For fixed bitrate MP3 files, the frame header format of all frames is the same. The data structure is as follows: typedef FrameHeader{ unsigned int sync:11;//Sync information unsigned int version:2 ;//version unsigned int layer:2;//layer unsigned int protection:1;//CRC check unsigned int bitrate:4;//unsigned bitrate int frequency:2;//unsigned frequency int padding:1;//unsigned frame length setting int private:1;//unsigned reserved word int mode:2; //unsigned channel mode int mode extension:2;//unsigned extended mode int copyright:1;//unsigned copyright int original:1 ;//unsigned original logo int emphasis:2;//emphasis mode }HEADER, *LPHEADER; See Table 1 for a description of the 4 byte frame header. Table 1 Explanation of the use of MP3 frame header bytes Name Length (bits) Description Synchronization information 11 All bits in the 1st and 2nd byte are 1, and the 1st byte is always FF. Version 200-MPEG 2. 5 01-undefined 10-MPEG 2 11-MPEG 1 layer 2 00-undefined 01-Layer 3 10-Layer 2 11-Layer 1 CRC check 1 0-check 1-no check Bit rate 4 The third bit Tuple sampling rate, the unit is kbps, such as MPEG-1 Layer 3, 64 kbps, the value is 0101. Frequency 2 Sampling frequency, for MPEG-1: 00-44.1 kHz 01-48 kHz 10 -32 kHz 11-setting frame length undefined 1 is used to set the length of the file header, 0-no setting, 1-setting, the specific setting calculation method see below. Reserved word 1 is not used. Channel Mode 2 The fourth byte indicates the channel, 00-Stereo 01-Joint Stereo 10-Dual Channel 11-Mono Expansion Mode 2 Only used when the channel mode is 01. Copyright 1 Whether the file is legal or not, 0-Illegal 1-Original logo legal 1 If original, 0-Not original 1-Original emphasis method 2 Used for classification of sound compensation after noise reduction and compression, which is rarely used and is it may not work in the future. 00-Undefined 01-50/15ms 10-Reserved 11-CCITT J.17 MP3 frame length depends on bit rate and frequency, the calculation formula is: frame length = 144×bit rate∕ frequency+padding For example: bit rate is 64kbps, frequency is 44.1kHz, when padding is 1, frame length is 210 bytes. After the table header there is additional information of variable length. For standard MP3 files, their length is 32 bytes, followed by compressed audio data, which will be decoded when the decoder reads here. For Constant Bit Rate (CBR) MP3 files, not all frames are the same length, and some frames may be one or more bytes longer. There is also Variable Bitrate (VBR) MP3, to minimize the length of MP3 file and ensure sound quality, compared to CBR file, except for the first frame, the rest is the same. The first frame of VBR does not contain audio data and its length is 156 bytes, which is used to store information such as standard audio frame header (4 bytes), VBR file identifier, frame number, number file byte, etc. See table 2 for the description of the structure. Table 2 Description of the first byte of the frame structure of the VBR 1-4 file The same standard sound frame header as CBR 5-40 Store the logo of the VBR file “Xing” (58 69 6E 67), the specific position of this logo depends on the adopted MPEG standard and the sound depends on the channel mode.

mp3 audio format, the most popular

mp3 audio format, the most popular

mp3 audio format, the most popular
mp3 audio format, the most popular

With the rapid development of file compression technology, MP3 has become the most popular music format today.

mp3 audio format, the most popular
mp3 audio format, the most popular

The encoder transforms the original sound into the frequency domain through a hybrid filter bank. Using a psychoacoustic model, it is estimated that it may be sufficient to be The perceived noise level is then quantized and converted to Huffman coding to form an MP3 bitstream. The decoder is much simpler and its task is to extract the sound signal from the encoded spectral line components through inverse quantization and inverse transformation.
2.4 Modified Discrete Cosine Transform Modified Discrete Cosine Transform (MDCT) refers to converting a set of time-domain data to frequency-domain data for time-domain variation. MDCT is an enhancement of the DCT algorithm. The first fast algorithm is the Fast Fourier Transform (FFT), but FFT has operations on complex numbers and MDCT are all operations on real numbers, which is convenient for programming. When compressing audio data, first divide the original audio data into fixed blocks, and then perform forward MDCT (Forward MDCT) to convert the value of each block into MDCT 512 coefficients. When decompressing, the reverse MDCT (Reverse MDCT) The 512 coefficients are restored to the original sound data, and the original sound data before and after are inconsistent, because redundant and irrelevant data are removed during the compression process. The FMDCT transformation formula is: k=0, 1,…, N/2-1 where N is the length of the transformation window, that is, the number of sample points per block, N=8, 16 ,… ., 1024, 2048. n0=(N/2+1)/2, X(n) is the value in the time domain, X(k) is the value in the frequency domain. If N takes 1024 points, it will become 512 frequency domain values. The IMDCT transformation formula is: 4 Modified Discrete Cosine Transform Modified Discrete Cosine Transform (MDCT) refers to converting a set of time-domain data to frequency-domain data to learn the changes in the domain. weather. MDCT is an enhancement of the DCT algorithm. The first fast algorithm is the Fast Fourier Transform (FFT), but FFT has operations on complex numbers and MDCT are all operations on real numbers, which is convenient for programming. When compressing audio data, first divide the original audio data into fixed blocks, and then perform forward MDCT (Forward MDCT) to convert the value of each block into MDCT 512 coefficients. When decompressing, the reverse MDCT (Reverse MDCT) The 512 coefficients are restored to the original sound data, and the original sound data before and after are inconsistent, because redundant and irrelevant data are removed during the compression process. The FMDCT transformation formula is: k=0, 1,…, N/2-1 where N is the length of the transformation window, that is, the number of sample points per block, N=8, 16 ,… ., 1024, 2048. n0=(N/2+1)/2, X(n) is the value in the time domain, X(k) is the value in the frequency domain. If N takes 1024 points, it will become 512 frequency domain values. The IMDCT transformation formula is: 4 Modified Discrete Cosine Transform Modified Discrete Cosine Transform (MDCT) refers to converting a set of time-domain data to frequency-domain data to learn the changes in the domain. weather. MDCT is an enhancement of the DCT algorithm. The first fast algorithm is the Fast Fourier Transform (FFT), but FFT has operations on complex numbers and MDCT are all operations on real numbers, which is convenient for programming. When compressing audio data, first divide the original audio data into fixed blocks, and then perform forward MDCT (Forward MDCT) to convert the value of each block into MDCT 512 coefficients. When decompressing, the reverse MDCT (Reverse MDCT) The 512 coefficients are restored to the original sound data, and the original sound data before and after are inconsistent, because redundant and irrelevant data are removed during the compression process. The FMDCT transformation formula is: k=0, 1,…, N/2-1 where N is the length of the transformation window, that is, the number of sample points per block, N=8, 16 ,… ., 1024, 2048. n0=(N/2+1)/2, X(n) is the value in the time domain, X(k) is the value in the frequency domain.

mp3 audio format, the most popular

mp3 audio format, the most popular

mp3 audio format
mp3 audio format

With the rapid development of file compression technology, MP3 has become the most popular music format today.

mp3 audio format
mp3 audio format

High-quality music quickly spreads to all parts of the world with the arrangement of 0 and 1, shaking people’s hearts. What is MP3? The full name of MP3 is MPEG Audio Layer 3. It is an efficient computer audio coding scheme. It converts audio files into smaller files with .MP3 extension with a higher compression ratio and basically maintains the sound quality of the file. original. MP3 is part of the ISO/MPEG standard. The ISO/MPEG standard describes audio compression using a high-performance perceptual coding scheme. This standard has been continuously updated to meet the pursuit of “high quality and small quantity”, and now has formed MPEG Layer 1, Layer 2. Layer 3 three audio encoding and decoding schemes. The compression rate of MPEG Layer 3 can reach from 1:10 to 1:12. A 1M MP3 file can be played for 1 minute, while a 1 minute CD-quality WAV file (44100Hz, 16bit, 2ch, 60sec) occupies 10M of space, so Calculated, the time The playback time of a 650M MP3 disc should be more than 10 hours, while the playback time of a CD with the same capacity is about 70 minutes. The advantages of MP3 are unmatched by CD. 2 Analysis of the principle of MP3 2.1 MPEG audio standard MPEG (Moving Picture Experts Group) is a moving picture expert group under ISO, and the MPEG standard formulated by it is widely used in various multimedia. MPEG standards include video and audio standards, among which MPEG-1, MPEG-2, MPEG-2 AAC, and MPEG-4 audio standards have been developed. The MPEG-1 and MPEG-2 standards use the same family of audio codecs: Layer 1, 2 and 3. A new feature of MPEG-2 is the use of low sample rate expansion kits to reduce data traffic , and another feature is the multi-channel expansion kit, which increases the number of main channels to five. Fraunhofer IIS and AT&T released the MPEG-2 AAC (MPEG-2 Advanced Audio Coding) standard in 1997 to significantly reduce data traffic. The MDCT (Modified Discrete Cosine Transform) algorithm adopted by MPEG-2 AAC, The sampling frequency can be between 8 KHz and 96 KHz, and the number of channels can be between 1 and 48. MPEG Audio Layer 1, 2 and 3 use the same filter bank, bitstream structure, and header information, and the sample rate is either 32 KHz, 44.1 KHz, or 48 KHz. Layer 1 is designed for DCC (digital compact cassette) digital compression tape, the data rate is 384 kbps, and layer 2 has made a compromise between complexity and performance, and the data rate has been reduced to 256 kbps- 192kbps. Layer 3 was designed for low data rate from the beginning, and the data rate is 128Kbps-112Kbps. Layer 3 adds MDCT transform, which makes its frequency resolution 18 times higher than that of Layer 2. Layer 3 also uses information averaging similar to MPEG video entropy coding to reduce redundant information. The vast majority of MP3 uses the MPEG-1 standard. 2.2 The purpose of audio compression The MP3 format began in the mid-1980s, and the Fraunhofer Institute in Erlangen, Germany, was committed to high-quality, low-data-rate audio coding. Let’s look at an example: You want to sample a song you like that is about 4 minutes long, store it on a disc, and sample it in CD-quality WAV format at a sample rate of 44.1 kHz, which means receiving 44100 per second. , stereo, each sample data is 16 bits (2 bytes), so the space occupied by this song is: 44100×2 channels x2 bytes x60 seconds x4 minutes=40.4MB If you download this song from the Internet, assume the transmission speed is of 56kbps, the download time is: 40.4x106x8/56x103x60=96 minutes. Even a 1M broadband network takes more than 5 minutes. It can be seen that audio compression is especially important to reduce the storage space of audio data. 2.3 MP3 encoding and decoding MP3 audio compression involves encoding and decoding in two parts. Encoding is turning the data in a WAV file into a highly compressed bitstream, and decoding is taking the bitstream and reconstructing it into a WAV file. MP3 uses a distortion algorithm called Perceptual Audio Coding. The frequency range of sound perceived by the human ear is from 20 Hz to 20 kHz. MP3 cuts out a lot of redundant and irrelevant signals.

MP3 encoder

MP3 encoder

Mp3 Encoder
Mp3 Encoder

1. MP3 Encoder FAQ

Mp3 Encoder
Mp3 Encoder

: what is an MP3 encoder?
An MP3 encoder is a piece of software that uses the MP3 codec algorithm (compression/decompression) to create mp3 files. Most encoders only convert
a WAV file to an MP3 file, although many can convert other formats such as WMA, Real Audio, Ogg, etc.

There are only a few standalone encoders, and a lot of software also only uses 4 main encoding engines, largely due to
to Fraunhofer Gesellschaft patents and various companies helping with ISO sources. Although no company owns the license, the
Developers must pay expensive license fees no matter what proprietary MP3 encoder they use. Major MP3 encoding engines include: LAME (
non-ISO source), BladeEnc, Fraunhofer, and Real Networks’ Xing encoder.

– How does the MP3 encoder work?
The core technology under MPEG-Layer 3 is included in the MP3 encoder. The decoding process uses a series of algorithms and rules to compress audio.
The encoder also detect sounds that occur at the same time
and they try to rule out any that might be “masked” or “inaudible” by other sounds.

– What is a good MP3 encoder?
Xing is the fastest encoder in terms of speed, but the worst in quality. For smaller file sizes, Fraunhofer FastEnc
offers the best quality. LAME is a very good encoder, and one version is faster than the previous one, BladeEnc
it is the best quality for large files, but very slow.

2. Dissection of MP3 files
In addition to proficiency in using the basic features of the MP3 encoder, ordinary users do not need to know how the internal structure of the MP3 file is encoded, just like the situation when
face JPEG or DOC files. Out of morbid curiosity, here’s an X-ray view of an MP3 file:

– Box header
As mentioned above, MP3 files are made up of thousands of “frame frames”, each frame containing a part (second part) of valuable audio data.
for the decoder to reconstruct the audio data. The first part above is the box header. (Frame Header), which consists of 32-bit metadata related to the
later data, see the figure below. The MP3 header begins with an 11-bit “sync timing” block, which allows the player to seek and lock the first
legal framework available, which is useful in MP3 streaming, which can quickly move or jump ID3 from the playback source block to a normal one.
position . However, simply detecting synchronized blocks is theoretically not enough, so it is necessary to check the header.

– transmission lock
MP3 was originally designed for broadcast, and as a result it became important that the MP3 receiver could be synchronized with the signal at any part of the broadcast,
so the frame header is placed at the beginning of any frame transmission, so when an MP3 receiver “tunes” to a data stream, it picks up the
signal instantly and you can play it immediately. Interestingly, this fact makes it possible to cut MPEG files into small segments, each of which can be played independently. But unfortunately
not possible in 3-layer (MP3) files, where frames often depend on other frames, so you can’t just
Edit .

– Frames per second
Just as the movie industry has a standard for the number of frames per second in film to ensure proper viewing on any projector,
A similar standard is used in the MP3 standard, regardless of the file’s bitrate, MPEG-1 A frame in the file is 26 ms, approximately 38 fps frames per second. If the bit rate
is , the frame size is correspondingly larger, and vice versa. Also, the number of samples contained in an MP3 frame is constant, 1152 samples per frame.

The total size of any given frame can be calculated with the following formula:

FrameSize = 144 * BitRate / (SampleRate + Padding).