# Bit rate

In telecommunications and computing, bit rate (bitrate or as a variable R) is the number of bits that are conveyed or processed per unit of time.[1]

Bit rates
Name Symbol Multiple
bit per second bit/s 1 1
Decimal prefixes (SI)
kilobit per second kbit/s 103 10001
megabit per second Mbit/s 106 10002
gigabit per second Gbit/s 109 10003
terabit per second Tbit/s 1012 10004
Binary prefixes (IEC 80000-13)
kibibit per second Kibit/s 210 10241
mebibit per second Mibit/s 220 10242
gibibit per second Gibit/s 230 10243
tebibit per second Tibit/s 240 10244

The bit rate is expressed in the unit bit per second unit (symbol: bit/s), often in conjunction with an SI prefix such as kilo (1 kbit/s = 1,000 bit/s), mega (1 Mbit/s = 1,000 kbit/s), giga (1 Gbit/s = 1,000 Mbit/s) or tera (1 Tbit/s = 1,000 Gbit/s).[2] The non-standard abbreviation bps is often used to replace the standard symbol bit/s, so that, for example, 1 Mbps is used to mean one million bits per second.

In most computing and digital communication environments, one byte per second (1 B/s) corresponds to 8 bit/s.

## Prefixes

When quantifying large or small bit rates, SI prefixes (also known as metric prefixes or decimal prefixes) are used, thus:[3]

 0.001 bit/s = 1 mbit/s (one bit per thousand seconds) 1,000 bit/s = 1 kbit/s (one thousand bits per second) 1,000,000 bit/s = 1 Mbit/s (one million bits per second) 1,000,000,000 bit/s = 1 Gbit/s (one billion bits per second)

Binary prefixes are sometimes used for bit rates.[4][5] The International Standard (IEC 80000-13) specifies different abbreviations for binary and decimal (SI) prefixes (e.g. 1 KiB/s = 1024 B/s = 8192 bit/s, and 1 MiB/s = 1024 KiB/s).

## In data communications

### Gross bit rate

In digital communication systems, the physical layer gross bitrate,[6] raw bitrate,[7] data signaling rate,[8] gross data transfer rate[9] or uncoded transmission rate[7] (sometimes written as a variable Rb[6][7] or fb[10]) is the total number of physically transferred bits per second over a communication link, including useful data as well as protocol overhead.

In case of serial communications, the gross bit rate is related to the bit transmission time ${\displaystyle T_{b}}$  as:

${\displaystyle R_{b}={1 \over T_{b}},}$

The gross bit rate is related to the symbol rate or modulation rate, which is expressed in bauds or symbols per second. However, the gross bit rate and the baud value are equal only when there are only two levels per symbol, representing 0 and 1, meaning that each symbol of a data transmission system carries exactly one bit of data; for example, this is not the case for modern modulation systems used in modems and LAN equipment.[11]

For most line codes and modulation methods:

${\displaystyle {\text{Symbol rate}}\leq {\text{Gross bit rate}}}$

More specifically, a line code (or baseband transmission scheme) representing the data using pulse-amplitude modulation with ${\displaystyle 2^{N}}$  different voltage levels, can transfer ${\displaystyle N{\text{ bit/pulse}}}$ . A digital modulation method (or passband transmission scheme) using ${\displaystyle 2^{N}}$  different symbols, for example ${\displaystyle 2^{N}}$  amplitudes, phases or frequencies, can transfer ${\displaystyle N{\text{ bit/symbol}}}$ . This results in:

${\displaystyle {\text{Gross bit rate}}={\text{Symbol rate}}\times N}$

An exception from the above is some self-synchronizing line codes, for example Manchester coding and return-to-zero (RTZ) coding, where each bit is represented by two pulses (signal states), resulting in:

${\displaystyle {\text{Gross bit rate = Symbol rate/2}}}$

A theoretical upper bound for the symbol rate in baud, symbols/s or pulses/s for a certain spectral bandwidth in hertz is given by the Nyquist law:

${\displaystyle {\text{Symbol rate}}\leq {\text{Nyquist rate}}=2\times {\text{bandwidth}}}$

In practice this upper bound can only be approached for line coding schemes and for so-called vestigal sideband digital modulation. Most other digital carrier-modulated schemes, for example ASK, PSK, QAM and OFDM, can be characterized as double sideband modulation, resulting in the following relation:

${\displaystyle {\text{Symbol rate}}\leq {\text{Bandwidth}}}$

In case of parallel communication, the gross bit rate is given by

${\displaystyle \sum _{i=1}^{n}{\frac {\log _{2}{M_{i}}}{T_{i}}}}$

where n is the number of parallel channels, Mi is the number of symbols or levels of the modulation in the i-th channel, and Ti is the symbol duration time, expressed in seconds, for the i-th channel.

### Information rate

The physical layer net bitrate,[12] information rate,[6] useful bit rate,[13] payload rate,[14] net data transfer rate,[9] coded transmission rate,[7] effective data rate[7] or wire speed (informal language) of a digital communication channel is the capacity excluding the physical layer protocol overhead, for example time division multiplex (TDM) framing bits, redundant forward error correction (FEC) codes, equalizer training symbols and other channel coding. Error-correcting codes are common especially in wireless communication systems, broadband modem standards and modern copper-based high-speed LANs. The physical layer net bitrate is the datarate measured at a reference point in the interface between the datalink layer and physical layer, and may consequently include data link and higher layer overhead.

In modems and wireless systems, link adaptation (automatic adaption of the data rate and the modulation and/or error coding scheme to the signal quality) is often applied. In that context, the term peak bitrate denotes the net bitrate of the fastest and least robust transmission mode, used for example when the distance is very short between sender and transmitter.[15] Some operating systems and network equipment may detect the "connection speed"[16] (informal language) of a network access technology or communication device, implying the current net bit rate. Note that the term line rate in some textbooks is defined as gross bit rate,[14] in others as net bit rate.

The relationship between the gross bit rate and net bit rate is affected by the FEC code rate according to the following.

Net bit rate ≤ Gross bit rate · code rate

The connection speed of a technology that involves forward error correction typically refers to the physical layer net bit rate in accordance with the above definition.

For example, the net bitrate (and thus the "connection speed") of an IEEE 802.11a wireless network is the net bit rate of between 6 and 54 Mbit/s, while the gross bit rate is between 12 and 72 Mbit/s inclusive of error-correcting codes.

The net bit rate of ISDN2 Basic Rate Interface (2 B-channels + 1 D-channel) of 64+64+16 = 144 kbit/s also refers to the payload data rates, while the D channel signalling rate is 16 kbit/s.

The net bit rate of the Ethernet 100Base-TX physical layer standard is 100 Mbit/s, while the gross bitrate is 125 Mbit/second, due to the 4B5B (four bit over five bit) encoding. In this case, the gross bit rate is equal to the symbol rate or pulse rate of 125 megabaud, due to the NRZI line code.

In communications technologies without forward error correction and other physical layer protocol overhead, there is no distinction between gross bit rate and physical layer net bit rate. For example, the net as well as gross bit rate of Ethernet 10Base-T is 10 Mbit/s. Due to the Manchester line code, each bit is represented by two pulses, resulting in a pulse rate of 20 megabaud.

The "connection speed" of a V.92 voiceband modem typically refers to the gross bit rate, since there is no additional error-correction code. It can be up to 56,000 bit/s downstreams and 48,000 bit/s upstreams. A lower bit rate may be chosen during the connection establishment phase due to adaptive modulation – slower but more robust modulation schemes are chosen in case of poor signal-to-noise ratio. Due to data compression, the actual data transmission rate or throughput (see below) may be higher.

The channel capacity, also known as the Shannon capacity, is a theoretical upper bound for the maximum net bitrate, exclusive of forward error correction coding, that is possible without bit errors for a certain physical analog node-to-node communication link.

net bit rate ≤ channel capacity

The channel capacity is proportional to the analog bandwidth in hertz. This proportionality is called Hartley's law. Consequently, the net bit rate is sometimes called digital bandwidth capacity in bit/s.

### Network throughput

The term throughput, essentially the same thing as digital bandwidth consumption, denotes the achieved average useful bit rate in a computer network over a logical or physical communication link or through a network node, typically measured at a reference point above the datalink layer. This implies that the throughput often excludes data link layer protocol overhead. The throughput is affected by the traffic load from the data source in question, as well as from other sources sharing the same network resources. See also measuring network throughput.

### Goodput (data transfer rate)

Goodput or data transfer rate refers to the achieved average net bit rate that is delivered to the application layer, exclusive of all protocol overhead, data packets retransmissions, etc. For example, in the case of file transfer, the goodput corresponds to the achieved file transfer rate. The file transfer rate in bit/s can be calculated as the file size (in bytes) divided by the file transfer time (in seconds) and multiplied by eight.

As an example, the goodput or data transfer rate of a V.92 voiceband modem is affected by the modem physical layer and data link layer protocols. It is sometimes higher than the physical layer data rate due to V.44 data compression, and sometimes lower due to bit-errors and automatic repeat request retransmissions.

If no data compression is provided by the network equipment or protocols, we have the following relation:

goodput ≤ throughput ≤ maximum throughput ≤ net bit rate

for a certain communication path.

### Progress trends

These are examples of physical layer net bit rates in proposed communication standard interfaces and devices:

WAN modems Ethernet LAN WiFi WLAN Mobile data
• 1972: Acoustic coupler 300 baud
• 1977: 1200 baud Vadic and Bell 212A
• 1986: ISDN introduced with two 64 kbit/s channels (144 kbit/s gross bit rate)
• 1990: V.32bis modems: 2400 / 4800 / 9600 / 19200 bit/s
• 1994: V.34 modems with 28.8 kbit/s
• 1995: V.90 modems with 56 kbit/s downstreams, 33.6 kbit/s upstreams
• 1999: V.92 modems with 56 kbit/s downstreams, 48 kbit/s upstreams
• 1998: ADSL (ITU G.992.1) up to 10 Mbit/s
• 2003: ADSL2 (ITU G.992.3) up to 12 Mbit/s
• 2005: ADSL2+ (ITU G.992.5) up to 26 Mbit/s
• 2005: VDSL2 (ITU G.993.2) up to 200 Mbit/s
• 2014: G.fast (ITU G.9701) up to 1000 Mbit/s
• 1G:
• 1981: NMT 1200 bit/s
• 2G:
• 3G:
• 2001: UMTS-FDD (WCDMA) 384 kbit/s
• 2007: UMTS HSDPA 14.4 Mbit/s
• 2008: UMTS HSPA 14.4 Mbit/s down, 5.76 Mbit/s up
• 2009: HSPA+ (Without MIMO) 28 Mbit/s downstreams (56 Mbit/s with 2×2 MIMO), 22 Mbit/s upstreams
• 2010: CDMA2000 EV-DO Rev. B 14.7 Mbit/s downstreams
• 2011: HSPA+ accelerated (With MIMO) 42 Mbit/s downstreams
• Pre-4G:
• 2007: Mobile WiMAX (IEEE 802.16e) 144 Mbit/s down, 35 Mbit/s up
• 2009: LTE 100 Mbit/s downstreams (360 Mbit/s with MIMO 2×2), 50 Mbit/s upstreams
• 5G

For more examples, see list of device bit rates, spectral efficiency comparison table and OFDM system comparison table.

## Multimedia

In digital multimedia, bitrate represents the amount of information, or detail, that is stored per unit of time of a recording. The bitrate depends on several factors:

• The original material may be sampled at different frequencies.
• The samples may use different numbers of bits.
• The data may be encoded by different schemes.
• The information may be digitally compressed by different algorithms or to different degrees.

Generally, choices are made about the above factors in order to achieve the desired trade-off between minimizing the bitrate and maximizing the quality of the material when it is played.

If lossy data compression is used on audio or visual data, differences from the original signal will be introduced; if the compression is substantial, or lossy data is decompressed and recompressed, this may become noticeable in the form of compression artifacts. Whether these affect the perceived quality, and if so how much, depends on the compression scheme, encoder power, the characteristics of the input data, the listener's perceptions, the listener's familiarity with artifacts, and the listening or viewing environment.

The bitrates in this section are approximately the minimum that the average listener in a typical listening or viewing environment, when using the best available compression, would perceive as not significantly worse than the reference standard:

## Encoding bit rate

In digital multimedia, bit rate refers to the number of bits used per second to represent a continuous medium such as audio or video after source coding (data compression). The encoding bit rate of a multimedia file is its size in bytes divided by the playback time of the recording (in seconds), multiplied by eight.

For realtime streaming multimedia, the encoding bit rate is the goodput that is required to avoid interrupt:

encoding bit rate = required goodput

The term average bitrate is used in case of variable bitrate multimedia source coding schemes. In this context, the peak bit rate is the maximum number of bits required for any short-term block of compressed data.[17]

A theoretical lower bound for the encoding bit rate for lossless data compression is the source information rate, also known as the entropy rate.

entropy rate ≤ multimedia bit rate

### Audio

#### CD-DA

CD-DA, the standard audio CD, is said to have a data rate of 44.1 kHz/16, meaning that the audio data was sampled 44,100 times per second and with a bit depth of 16. CD-DA is also stereo, using a left and right channel, so the amount of audio data per second is double that of mono, where only a single channel is used.

The bit rate of PCM audio data can be calculated with the following formula:

${\displaystyle {\text{bit rate}}={\text{sample rate}}\times {\text{bit depth}}\times {\text{channels}}}$

For example, the bit rate of a CD-DA recording (44.1 kHz sampling rate, 16 bits per sample and two channels) can be calculated as follows:

${\displaystyle 44,100\times 16\times 2=1,411,200\ {\text{bit/s}}=1,411.2\ {\text{kbit/s}}}$

The cumulative size of a length of PCM audio data (excluding a file header or other metadata) can be calculated using the following formula:

${\displaystyle {\text{size in bits}}={\text{sample rate}}\times {\text{bit depth}}\times {\text{channels}}\times {\text{time}}.}$

The cumulative size in bytes can be found by dividing the file size in bits by the number of bits in a byte, which is eight:

${\displaystyle {\text{size in bytes}}={\frac {\text{size in bits}}{8}}}$

Therefore, 80 minutes (4,800 seconds) of CD-DA data requires 846,720,000 bytes of storage:

${\displaystyle {\frac {44,100\times 16\times 2\times 4,800}{8}}=846,720,000\ {\text{bytes}}\approx 847\ {\text{MB}}}$

#### MP3

The MP3 audio format provides lossy data compression. Audio quality improves with increasing bitrate:

• 32 kbit/s – generally acceptable only for speech
• 96 kbit/s – generally used for speech or low-quality streaming
• 128 or 160 kbit/s – mid-range bitrate quality
• 192 kbit/s – medium quality bitrate
• 256 kbit/s – a commonly used high-quality bitrate
• 320 kbit/s – highest level supported by the MP3 standard

#### Other audio

• 700 bit/s – lowest bitrate open-source speech codec Codec2, but barely recognizable yet, sounds much better at 1.2 kbit/s
• 800 bit/s – minimum necessary for recognizable speech, using the special-purpose FS-1015 speech codecs
• 2.15 kbit/s – minimum bitrate available through the open-source Speex codec
• 6 kbit/s – minimum bitrate available through the open-source Opus codec
• 8 kbit/s – telephone quality using speech codecs
• 32–500 kbit/s – lossy audio as used in Ogg Vorbis
• 256 kbit/s – Digital Audio Broadcasting (DAB) MP2 bit rate required to achieve a high quality signal[18]
• 292 kbit/s - Sony Adaptive Transform Acoustic Coding (ATRAC) for use on the MiniDisc Format
• 400 kbit/s–1,411 kbit/s – lossless audio as used in formats such as Free Lossless Audio Codec, WavPack, or Monkey's Audio to compress CD audio
• 1,411.2 kbit/s – Linear PCM sound format of CD-DA
• 5,644.8 kbit/s – DSD, which is a trademarked implementation of PDM sound format used on Super Audio CD.[19]
• 6.144 Mbit/s – E-AC-3 (Dolby Digital Plus), an enhanced coding system based on the AC-3 codec
• 9.6 Mbit/s – DVD-Audio, a digital format for delivering high-fidelity audio content on a DVD. DVD-Audio is not intended to be a video delivery format and is not the same as video DVDs containing concert films or music videos. These discs cannot be played on a standard DVD-player without DVD-Audio logo.[20]
• 18 Mbit/s – advanced lossless audio codec based on Meridian Lossless Packing (MLP)

### Video

• 16 kbit/s – videophone quality (minimum necessary for a consumer-acceptable "talking head" picture using various video compression schemes)
• 128–384 kbit/s – business-oriented videoconferencing quality using video compression
• 400 kbit/s YouTube 240p videos (using H.264)[21]
• 750 kbit/s YouTube 360p videos (using H.264)[21]
• 1 Mbit/s YouTube 480p videos (using H.264)[21]
• 1.15 Mbit/s max – VCD quality (using MPEG1 compression)[22]
• 2.5 Mbit/s YouTube 720p videos (using H.264)[21]
• 3.5 Mbit/s typ – Standard-definition television quality (with bit-rate reduction from MPEG-2 compression)
• 3.8 Mbit/s YouTube 720p60 (60 FPS) videos (using H.264)[21]
• 4.5 Mbit/s YouTube 1080p videos (using H.264)[21]
• 6.8 Mbit/s YouTube 1080p60 (60 FPS) videos (using H.264)[21]
• 9.8 Mbit/s max – DVD (using MPEG2 compression)[23]
• 8 to 15 Mbit/s typ – HDTV quality (with bit-rate reduction from MPEG-4 AVC compression)
• 19 Mbit/s approximate – HDV 720p (using MPEG2 compression)[24]
• 24 Mbit/s max – AVCHD (using MPEG4 AVC compression)[25]
• 25 Mbit/s approximate – HDV 1080i (using MPEG2 compression)[24]
• 29.4 Mbit/s max – HD DVD
• 40 Mbit/s max – 1080p Blu-ray Disc (using MPEG2, MPEG4 AVC or VC-1 compression)[26]
• 250 Mbit/s max – DCP (using JPEG 2000 compression)
• 1.4 Gbit/s – 10-bit 4:4:4 Uncompressed 1080p at 24fps

### Notes

For technical reasons (hardware/software protocols, overheads, encoding schemes, etc.) the actual bit rates used by some of the compared-to devices may be significantly higher than what is listed above. For example, telephone circuits using µlaw or A-law companding (pulse code modulation) yield 64 kbit/s.

## References

1. ^ Gupta, Prakash C (2006). Data Communications and Computer Networks. PHI Learning. ISBN 9788120328464. Retrieved 10 July 2011.
2. ^ International Electrotechnical Commission (2007). "Prefixes for binary multiples". Retrieved 4 February 2014.
3. ^ Jindal (2009), From millibits to terabits per second and beyond - Over 60 years of innovation
4. ^ Schlosser, S. W., Griffin, J. L., Nagle, D. F., & Ganger, G. R. (1999). Filling the memory access gap: A case for on-chip magnetic storage (No. CMU-CS-99-174). CARNEGIE-MELLON UNIV PITTSBURGH PA SCHOOL OF COMPUTER SCIENCE.
5. ^ "Monitoring file transfers that are in progress from WebSphere MQ Explorer". Retrieved 10 October 2014.
6. ^ a b c Guimarães, Dayan Adionel (2009). "section 8.1.1.3 Gross Bit Rate and Information Rate". Digital Transmission: A Simulation-Aided Introduction with VisSim/Comm. Springer. ISBN 9783642013591. Retrieved 10 July 2011.
7. Kaveh Pahlavan, Prashant Krishnamurthy (2009). Networking Fundamentals. John Wiley & Sons. ISBN 9780470779439. Retrieved 10 July 2011.
8. ^ Network Dictionary. Javvin Technologies. 2007. ISBN 9781602670006. Retrieved 10 July 2011.
9. ^ a b Harte, Lawrence; Kikta, Roman; Levine, Richard (2002). 3G wireless demystified. McGraw-Hill Professional. ISBN 9780071382823. Retrieved 10 July 2011.
10. ^ J.S. Chitode (2008). Principles of Digital Communication. Technical Publication. ISBN 9788184314519. Retrieved 10 July 2011.
11. ^ Lou Frenzel. 27 April 2012, "What’s The Difference Between Bit Rate And Baud Rate?". Electronic Design. 2012.
12. ^ Theodory S. Rappaport, Wireless communications: principles and practice, Prentice Hall PTR, 2002
13. ^ Lajos Hanzo, Peter J. Cherriman, Jürgen Streit, Video compression and communications: from basics to H.261, H.263, H.264, MPEG4 for DVB and HSDPA-style adaptive turbo-transceivers, Wiley-IEEE, 2007.
14. ^ a b V.S. Bagad, I.A. Dhotre, Data Communication Systems, Technical Publications, 2009.
15. ^ Sudhir Dixit, Ramjee Prasad Wireless IP and Building the Mobile Internet, Artech House
16. ^ Guy Hart-Davis,Mastering Microsoft Windows Vista home: premium and basic, John Wiley and Sons, 2007
17. ^ Khalid Sayood, Lossless compression handbook, Academic Press, 2003.
18. ^ Page 26 of BBC R&D White Paper WHP 061 June 2003, DAB: An introduction to the DAB Eureka system and how it works http://downloads.bbc.co.uk/rd/pubs/whp/whp-pdf-files/WHP061.pdf
19. ^ Extremetech.com, Leslie Shapiro, 2 July 2001. Surround Sound: The High-End: SACD and DVD-Audio. Archived 30 December 2009 at the Wayback Machine Retrieved 19 May 2010. 2 channels, 1-bit, 2822.4 kHz DSD audio (2×1×2,822,400)= 5,644,800 bits/s
20. ^ "Understanding DVD-Audio" (PDF). Sonic Solutions. Archived from the original (PDF) on 4 March 2012. Retrieved 23 April 2014.
21. "YouTube bit rates". Retrieved 10 October 2014.
22. ^ "MPEG1 Specifications". UK: ICDia. Retrieved 11 July 2011.
23. ^ "DVD-MPEG differences". Sourceforge. Retrieved 11 July 2011.
24. ^ a b HDV Specifications (PDF), HDV Information, archived from the original (PDF) on 8 January 2007.
25. ^ "Avchd Information". AVCHD Info. Retrieved 11 July 2011.
26. ^ "3.3 Video Streams" (PDF), Blu-ray Disc Format 2.B Audio Visual Application Format Specifications for BD-ROM Version 2.4 (white paper), May 2010, p. 17.