Editing Single-sideband modulation

{{short description|Electronic method of transmitting information with a carrier wave}}
{{More citations needed|date=July 2015}}

[[File:SSB bandform.svg|thumb|Illustration of the spectrum of AM and SSB signals. The lower side band (LSB) spectrum is inverted compared to the baseband. As an example, a 2&nbsp;kHz audio baseband signal modulated onto a 5&nbsp;MHz carrier will produce a frequency of 5.002&nbsp;MHz if upper side band (USB) is used or 4.998&nbsp;MHz if LSB is used.]]
{{Modulation techniques}}

In [[radio]] communications, '''single-sideband modulation''' ('''SSB''') or '''single-sideband suppressed-carrier modulation''' ('''SSB-SC''') is a type of [[signal modulation]] used to transmit information, such as an [[audio signal]], by [[radio wave]]s.  A refinement of [[amplitude modulation]], it uses [[transmitter]] [[electric power|power]] and [[bandwidth (signal processing)|bandwidth]] more efficiently. Amplitude modulation produces an output signal the bandwidth of which is twice the maximum frequency of the original [[baseband]] signal. Single-sideband modulation avoids this bandwidth increase, and the power wasted on a carrier, at the cost of increased device complexity and more difficult tuning at the receiver.

==Basic concept==
Radio transmitters work by mixing a [[radio frequency]] (RF) signal of a specific frequency, the [[carrier wave]], with the audio signal to be broadcast. In AM transmitters this mixing usually takes place in the final RF amplifier (high level modulation). It is less common and much less efficient to do the mixing at low power and then amplify it in a linear amplifier. Either method produces a set of frequencies with a strong signal at the carrier frequency and with weaker signals at frequencies extending above and below the carrier frequency by the maximum frequency of the input signal. Thus the resulting signal has a [[spectrum]] whose bandwidth is twice the maximum frequency of the original input audio signal.

SSB takes advantage of the fact that the entire original signal is encoded in each of these "sidebands". Since a good receiver can extract the complete original signal from either the upper or lower sideband, it is not essential to transmit both sidebands plus the carrier. There are several methods for eliminating the carrier and one sideband from the transmitted signal.  Producing this single sideband signal can be done at high level in the final amplifier stage as with AM
<ref>{{cite thesis
 |url=http://hdl.handle.net/10945/24839
 |title=Single sideband transmission by envelope elimination and restoration
 |author=Michael Murray Elliott
 |date=1953
 |publisher=Naval Postgraduate School
|hdl=10945/24839
 |type=Thesis
 }}</ref>
<ref>{{cite journal
 |url=https://ieeexplore.ieee.org/document/4051049
 |title=Single-sideband transmission by envelope elimination and restoration
 |journal=Proceedings of the IRE
 |volume=40 |issue=7
 |author=Leonard R Kahn
 |date=July 1952
 |pages=803–806
 |doi=10.1109/JRPROC.1952.273844
 |s2cid=51669401
 |url-access=subscription
 }}</ref>
but it is usually produced at a low power level and linearly amplified. The lower efficiency of linear amplification partially offsets the power advantage gained by eliminating the carrier and one sideband. Nevertheless, SSB transmissions use the available amplifier energy considerably more efficiently, providing longer-range transmission for the same power output. In addition, the occupied spectrum is less than half that of a full carrier AM signal.

SSB reception requires frequency stability and selectivity well beyond that of inexpensive AM receivers which is why broadcasters have seldom used it. In point-to-point communications, where expensive receivers are in common use already, they can successfully be adjusted to receive whichever sideband is being transmitted.

==History==
The first U.S. patent application for SSB modulation was filed on December 1, 1915, by [[John Renshaw Carson]].<ref>{{Patent|US|1449382|John Carson/AT&T: "Method and Means for Signaling with High Frequency Waves" filed on December 1, 1915; granted on March 27, 1923}}</ref> The U.S. Navy experimented with SSB over its radio circuits before [[World War I]].<ref>[http://dj4br.home.t-link.de/ssb1e.htm The History of Single Sideband Modulation] {{webarchive|url=https://web.archive.org/web/20040103032350/http://dj4br.home.t-link.de/ssb1e.htm |date=2004-01-03 }}, ''Ing. Peter Weber''</ref><ref>[https://ieeexplore.ieee.org/document/4051940/;jsessionid=61752BAF0A216895EE329FDD9513CDAD?arnumber=4051940 IEEE, Early History of Single-Sideband Transmission], ''Oswald, A.A.''</ref> SSB first entered commercial service on January 7, 1927, on the [[longwave]] transatlantic public radiotelephone circuit between New York and London.  The high power SSB transmitters were located at [[Rocky Point, New York]], and [[Rugby transmitting station|Rugby, England]].  The receivers were in very quiet locations in [[Houlton, Maine]], and [[Cupar]], Scotland.<ref>[http://massis.lcs.mit.edu/archives/history/underseas.cables History Of Undersea Cables], (1927)</ref>

SSB was also used over [[long-distance calling|long-distance]] [[telephone line]]s, as part of a technique known as [[frequency-division multiplexing]] (FDM). FDM was pioneered by telephone companies in the 1930s. With this technology, many simultaneous voice channels could be transmitted on a single physical circuit, for example in [[L-carrier]].  With SSB, channels could be spaced (usually) only 4,000&nbsp;[[Hertz|Hz]] apart, while offering a speech bandwidth of nominally 300&nbsp;Hz to 3,400&nbsp;Hz.

[[Amateur radio operator]]s began serious experimentation with SSB after [[World War II]].<ref>{{Cite web |title=The Evolution of Single Side Band (SSB) in Amateur Radio |url=https://www.hamradiostore.co.uk/blog/the-evolution-of-single-side-band-ssb-in-amateur-radio#:~:text=Transition%20to%20SSB%20Transmitters,AM%20until%20the%20late%201950s. |access-date=2024-11-23 |website=Waters & Stanton |language=en-gb}}</ref> The [[Strategic Air Command]] established SSB as the radio standard for its aircraft in 1957.<ref>
{{cite web
 |url=http://www.arrl.org/files/file/Technology/pdf/McElroy.pdf
 |title=Amateur Radio and the Rise of SSB
 |publisher=National Association for Amateur Radio
}}</ref> It has become a de facto standard for long-distance voice radio transmissions since then.

==Mathematical formulation==
[[File:Single-sideband derivation.svg|thumb|right|450px|Frequency-domain depiction of the mathematical steps that convert a baseband function into a single-sideband radio signal]]

Single-sideband has the mathematical form of [[IQ Modulation|quadrature amplitude modulation]] (QAM) in the special case where one of the [[baseband]] waveforms is derived from the other, instead of being independent messages''':'''

{{NumBlk|:|<math>s_\text{ssb}(t) = s(t) \cdot \cos\left(2\pi f_0 t\right) - \widehat{s}(t)\cdot \sin\left(2\pi f_0 t\right),\,</math>|{{EquationRef|Eq.1}}}}

where <math>s(t)\,</math> is the message (real-valued), <math>\widehat{s}(t)\,</math> is its [[Hilbert transform]], and <math>f_0\,</math> is the radio [[carrier frequency]].<ref>{{cite book|last1=Tretter|first1=Steven A.|editor1-last=Lucky|editor1-first=R.W.|title=Communication System Design Using DSP Algorithms|date=1995|publisher=Springer|location=New York|isbn=0306450321|page=80|chapter=Chapter 7, Eq 7.9}}</ref>

To understand this formula, we may express <math>s(t)</math> as the real part of a complex-valued function, with no loss of information:

:<math>s(t) = \operatorname{Re}\left\{s_\mathrm{a}(t)\right\} = \operatorname{Re}\left\{s(t) + j \cdot \widehat{s}(t)\right\},</math>

where <math>j</math> represents the [[imaginary unit]].&nbsp; <math>s_\mathrm{a}(t)</math> is the [[analytic representation]] of <math>s(t),</math>&nbsp; which means that it comprises only the positive-frequency components of <math>s(t)</math>:

:<math>
  \frac{1}{2}S_\mathrm{a}(f) =
    \begin{cases}
      S(f), &\text{for}\ f > 0,\\
      0,    &\text{for}\ f < 0,
    \end{cases}
</math>

where <math>S_\mathrm{a}(f)</math> and <math>S(f)</math> are the respective Fourier transforms of <math>s_\mathrm{a}(t)</math> and <math>s(t).</math>&nbsp; Therefore, the frequency-translated function <math>S_\mathrm{a}\left(f - f_0\right)</math> contains only one side of <math>S(f).</math>&nbsp;  Since it also has only positive-frequency components, its inverse Fourier transform is the analytic representation of <math>s_\text{ssb}(t):</math>

:<math>s_\text{ssb}(t) + j \cdot \widehat{s}_\text{ssb}(t) = \mathcal{F}^{-1} \{S_\mathrm{a}\left(f - f_0\right)\} = s_\mathrm{a}(t) \cdot e^{j2\pi f_0 t},\,</math>

and again the real part of this expression causes no loss of information.&nbsp; With [[Euler's formula]] to expand &nbsp;<math>e^{j2\pi f_0 t},\,</math>&nbsp; we obtain {{EquationNote|Eq.1}}:

:<math>\begin{align}
  s_\text{ssb}(t) &= \operatorname{Re}\left\{s_\mathrm{a}(t)\cdot e^{j2\pi f_0 t}\right\} \\
                  &= \operatorname{Re}\left\{\,\left[s(t) + j \cdot \widehat{s}(t)\right] \cdot \left[\cos\left(2\pi f_0 t\right) + j \cdot \sin\left(2\pi f_0 t\right)\right]\,\right\} \\
                  &= s(t) \cdot \cos\left(2\pi f_0 t\right) - \widehat{s}(t) \cdot \sin\left(2\pi f_0 t\right).
\end{align}</math>

Coherent demodulation of <math>s_\text{ssb}(t)</math> to recover <math>s(t)</math> is the same as AM: multiply by <math>\cos\left(2\pi f_0 t\right),</math>&nbsp; and lowpass to remove the "double-frequency" components around frequency <math>2 f_0</math>.  If the demodulating carrier is not in the correct phase (cosine phase here), then the demodulated signal will be some linear combination of <math>s(t)</math> and <math>\widehat s(t)</math>, which is usually acceptable in voice communications (if the demodulation carrier frequency is not quite right, the phase will be drifting cyclically, which again is usually acceptable in voice communications if the frequency error is small enough, and amateur radio operators are sometimes tolerant of even larger frequency errors that cause unnatural-sounding pitch shifting effects).

===Lower sideband===
<math>s(t)</math> can also be recovered as the real part of the complex-conjugate, <math>s_\mathrm{a}^*(t),</math> which represents the negative frequency portion of <math>S(f).</math>  When <math>f_0\,</math> is large enough that <math>S\left(f - f_0\right)</math> has no negative frequencies, the product <math>s_\mathrm{a}^*(t) \cdot e^{j2\pi f_0 t}</math> is another analytic signal, whose real part is the actual ''lower-sideband'' transmission''':'''

:<math>\begin{align}
  s_\mathrm{a}^*(t)\cdot e^{j2\pi f_0 t} &= s_\text{lsb}(t) + j \cdot \widehat s_\text{lsb}(t) \\
             \Rightarrow s_\text{lsb}(t) &= \operatorname{Re}\left\{s_\mathrm{a}^*(t) \cdot e^{j2\pi f_0 t}\right\} \\
                                         &= s(t) \cdot \cos\left(2\pi f_0 t\right) + \widehat{s}(t) \cdot \sin\left(2\pi f_0 t\right).
\end{align}</math>

The sum of the two sideband signals is:

:<math>s_\text{usb}(t) + s_\text{lsb}(t) = 2s(t) \cdot \cos\left(2\pi f_0 t\right),\,</math>

which is the classic model of suppressed-carrier [[double sideband]] AM.

==Practical implementations==
[[File:Collins KWM-1.jpg|thumb|A [[Rockwell Collins#Transceivers and systems|Collins KWM-1]], an early Amateur Radio transceiver that featured SSB voice capability]]

===Bandpass filtering===
One method of producing an SSB signal is to remove one of the sidebands via [[Filter (signal processing)|filter]]ing, leaving only either the '''upper sideband''' ('''USB'''), the sideband with the higher frequency, or less commonly the '''lower sideband''' ('''LSB'''), the sideband with the lower frequency. Most often, the carrier is reduced or removed entirely (suppressed), being referred to in full as '''single sideband suppressed carrier''' ('''SSBSC'''). Assuming both sidebands are symmetric, which is the case for a normal [[Amplitude modulation|AM]] signal, no information is lost in the process.  Since the final RF amplification is now concentrated in a single sideband, the effective power output is greater than in normal AM (the carrier and redundant sideband account for well over half of the power output of an AM transmitter). Though SSB uses substantially less bandwidth and power, it cannot be demodulated by a simple [[envelope detector]] like standard AM.

===Hartley modulator===
An alternate method of generation known as a '''Hartley modulator''', named after [[Ralph Hartley|R. V. L. Hartley]], uses [[phase (waves)|phasing]] to suppress the unwanted sideband.  To generate an SSB signal with this method, two versions of the original signal are generated, mutually 90° out of phase for any single frequency within the operating bandwidth. Each one of these signals then modulates carrier waves (of one frequency) that are also 90° [[out of phase]] with each other. By either adding or subtracting the resulting signals, a lower or upper sideband signal results. A benefit of this approach is to allow an analytical expression for SSB signals, which can be used to understand effects such as synchronous detection of SSB.

Shifting the baseband signal 90° out of phase cannot be done simply by delaying it, as it contains a large range of frequencies. In analog circuits, a wideband 90-degree phase-difference network<ref>[http://home.earthlink.net/~christrask/pshift.html Earthlink.net], listing numerous articles.</ref> is used. The method was popular in the days of [[vacuum tube]] radios, but later gained a bad reputation due to poorly adjusted commercial implementations.  Modulation using this method is again gaining popularity in the [[Amateur radio homebrew|homebrew]] and [[Digital signal processor|DSP]] fields.  This method, utilizing the [[Hilbert transform]] to phase shift the baseband audio, can be done at low cost with digital circuitry.

===Weaver modulator===
Another variation, the '''Weaver modulator''',<ref>"A Third Method of Generation and Detection of Single-Sideband Signals" D K Weaver Jr. Proc. IRE, Dec. 1956</ref> uses only lowpass filters and quadrature mixers, and is a favored method in digital implementations.

In Weaver's method, the band of interest is first translated to be centered at zero, conceptually by modulating a complex exponential <math>\exp(j\omega t)</math> with frequency in the middle of the voiceband, but implemented by a quadrature pair of sine and cosine modulators at that frequency (e.g. 2&nbsp;kHz).  This complex signal or pair of real signals is then lowpass filtered to remove the undesired sideband that is not centered at zero.  Then, the single-sideband complex signal centered at zero is upconverted to a real signal, by another pair of quadrature mixers, to the desired center frequency.

===Full, reduced, and suppressed-carrier SSB===
{{Unreferenced section|date=March 2012}}
Conventional amplitude-modulated signals can be considered wasteful of power and bandwidth because they contain a carrier signal and two identical sidebands. Therefore, SSB transmitters are generally designed to minimize the amplitude of the carrier signal. When the carrier is removed from the transmitted signal, it is called ''[[suppressed carrier|suppressed-carrier]] SSB''.

However, in order for a receiver to reproduce the transmitted audio without distortion, it must be tuned to exactly the same frequency as the transmitter. Since this is difficult to achieve in practice, SSB transmissions can sound unnatural, and if the error in frequency is great enough, it can cause poor intelligibility. In order to correct this, a small amount of the original carrier signal can be transmitted so that receivers with the necessary circuitry to synchronize with the transmitted carrier can correctly demodulate the audio. This mode of transmission is called [[reduced carrier|reduced-carrier]] single-sideband.

In other cases, it may be desirable to maintain some degree of compatibility with simple AM receivers, while still reducing the signal's bandwidth. This can be accomplished by transmitting single-sideband with a normal or slightly reduced carrier. This mode is called ''compatible (or full-carrier) SSB'' or ''amplitude modulation equivalent (AME)''. In typical AME systems, harmonic distortion can reach 25%, and intermodulation distortion can be much higher than normal, but minimizing distortion in receivers with envelope detectors is generally considered less important than allowing them to produce intelligible audio.

A second, and perhaps more correct, definition of "compatible single sideband" (CSSB) refers to a form of amplitude and phase modulation in which the carrier is transmitted along with a series of sidebands that are predominantly above or below the carrier term.  Since phase modulation is present in the generation of the signal, energy is removed from the carrier term and redistributed into the sideband structure similar to that which occurs in analog frequency modulation.  The signals feeding the phase modulator and the envelope modulator are further phase-shifted by 90° with respect to each other.  This places the information terms in quadrature with each other; the Hilbert transform of information to be transmitted is utilized to cause constructive addition of one sideband and cancellation of the opposite primary sideband.  Since phase modulation is employed, higher-order terms are also generated.  Several methods have been employed to reduce the impact (amplitude) of most of these higher-order terms.  In one system, the phase-modulated term is actually the log of the value of the carrier level plus the phase-shifted audio/information term.  This produces an ideal CSSB signal, where at low modulation levels only a first-order term on one side of the carrier is predominant.  As the modulation level is increased, the carrier level is reduced while a second-order term increases substantially in amplitude.  At the point of 100% envelope modulation, 6&nbsp;dB of power is removed from the carrier term, and the second-order term is identical in amplitude to carrier term.  The first-order sideband has increased in level until it is now at the same level as the formerly unmodulated carrier.  At the point of 100% modulation, the spectrum appears identical to a normal double-sideband AM transmission, with the center term (now the primary audio term) at a 0&nbsp;dB reference level, and both terms on either side of the primary sideband at −6&nbsp;dB.  The difference is that what appears to be the carrier has shifted by the audio-frequency term towards the "sideband in use".  At levels below 100% modulation, the sideband structure appears quite asymmetric.  When voice is conveyed by a CSSB source of this type, low-frequency components are dominant, while higher-frequency terms are lower by as much as 20&nbsp;dB at 3&nbsp;kHz.  The result is that the signal occupies approximately 1/2 the normal bandwidth of a full-carrier, DSB signal.  There is one catch: the audio term utilized to phase-modulate the carrier is generated based on a log function that is biased by the carrier level.  At negative 100% modulation, the term is driven to zero (0), and the modulator becomes undefined.  Strict modulation control must be employed to maintain stability of the system and avoid [[Spectral splatter|splatter]].  This system is of Russian origin and was described in the late 1950s.  It is uncertain whether it was ever deployed.

A second series of approaches was designed and patented by [[Leonard R. Kahn]].  The various Kahn systems removed the hard limit imposed by the use of the strict log function in the generation of the signal. Earlier Kahn systems utilized various methods to reduce the second-order term through the insertion of a predistortion component.  One example of this method was also used to generate one of the Kahn independent-sideband (ISB) AM stereo signals.  It was known as the STR-77 exciter method, having been introduced in 1977.  Later, the system was further improved by use of an arcsine-based modulator that included a 1-0.52E term in the denominator of the arcsin generator equation.  E represents the envelope term; roughly half the modulation term applied to the envelope modulator is utilized to reduce the second-order term of the arcsin "phase"-modulated path; thus reducing the second-order term in the undesired sideband.  A multi-loop modulator/demodulator feedback approach was used to generate an accurate arcsin signal.  This approach was introduced in 1984 and became known as the STR-84 method.  It was sold by Kahn Research Laboratories; later, Kahn Communications, Inc. of NY.  An additional audio processing device further improved the sideband structure by selectively applying pre-emphasis to the modulating signals.  Since the envelope of all the signals described remains an exact copy of the information applied to the modulator, it can be demodulated without distortion by an envelope detector such as a simple diode.  In a practical receiver, some distortion may be present, usually at a low level (in AM broadcast, always below 5%), due to sharp filtering and nonlinear group delay in the IF filters of the receiver, which act to truncate the compatibility sideband – those terms that are not the result of a linear process of simply envelope modulating the signal as would be the case in full-carrier DSB-AM – and rotation of phase of these compatibility terms such that they no longer cancel the quadrature distortion term caused by a first-order SSB term along with the carrier.  The small amount of distortion caused by this effect is generally quite low and acceptable.

The Kahn CSSB method was also briefly used by [[Airphone]] as the modulation method employed for early consumer telephone calls that could be placed from an aircraft to ground.  This was quickly supplanted by digital modulation methods to achieve even greater spectral efficiency.

While CSSB is seldom used today in the AM/MW broadcast bands worldwide, some amateur radio operators still experiment with it.

==Demodulation==
{{Main|Demodulation}}

The front end of an SSB receiver is similar to that of an [[Amplitude modulation|AM]] or [[Frequency modulation|FM]] receiver, consisting of a [[superheterodyne]] [[radio frequency|RF]] front end that produces a frequency-shifted version of the radio frequency (RF) signal within a standard [[intermediate frequency]] (IF) band.

To recover the original signal from the IF SSB signal, the single sideband must be frequency-shifted down to its original range of [[baseband]] frequencies, by using a [[product detector]] which mixes it with the output of a [[beat frequency oscillator]] (BFO). In other words, it is just another stage of heterodyning. For this to work, the BFO frequency must be exactly adjusted. 
If the BFO frequency is off, the output signal will be frequency-shifted (up or down), making speech sound strange and "[[Donald Duck]]"-like, or unintelligible.

For audio communications, there is a common agreement about the BFO oscillator shift of 1.7&nbsp;kHz. A voice signal is sensitive to about 50&nbsp;Hz shift, with up to 100&nbsp;Hz still bearable. Some receivers use a [[carrier recovery]] system, which attempts to automatically lock on to the exact IF frequency. The carrier recovery doesn't solve the frequency shift. It gives better S/N ratio on the detector output.{{Citation needed|reason="...doesn't solve..." and "...gives better..." sound like editorial comments; it also makes an isolated claim about S/N. For both these reasons, a citation is needed.|date=June 2020}}

As an example, consider an IF SSB signal centered at frequency <math>F_{\text{if}}\,</math> = 45000&nbsp;Hz. The baseband frequency it needs to be shifted to is <math>F_b\,</math> = 2000&nbsp;Hz. The BFO output waveform is <math>\cos\left(2\pi \cdot F_{\text{bfo}} \cdot t\right)</math>. When the signal is multiplied by (aka ''[[heterodyne]]d with'') the BFO waveform, it shifts the signal to &nbsp;<math>\left(F_{\text{if}} + F_{\text{bfo}}\right)</math>,&nbsp;''and'' to&nbsp;<math>\left|F_{\text{if}} - F_{\text{bfo}}\right|</math>, which is known as the ''beat frequency'' or ''image frequency''. The objective is to choose an <math>F_{\text{bfo}}</math> that results in &nbsp;<math>\left|F_{\text{if}} - F_{\text{bfo}}\right| = F_b\,</math> = 2000&nbsp;Hz. (The unwanted components at <math>\left(F_{\text{if}} + F_{\text{bfo}}\right)\,</math> can be removed by a [[lowpass filter]]; for which an output transducer or the human [[ear]] may serve).

There are two choices for <math>F_{\text{bfo}}</math>: 43000&nbsp;Hz and 47000&nbsp;Hz, called  ''low-side'' and ''high-side'' injection. With high-side injection, the spectral components that were distributed around 45000&nbsp;Hz will be distributed around 2000&nbsp;Hz in the reverse order, also known as an inverted spectrum. That is in fact desirable when the IF spectrum is also inverted, because the BFO inversion restores the proper relationships. One reason for that is when the IF spectrum is the output of an inverting stage in the receiver. Another reason is when the SSB signal is actually a lower sideband, instead of an upper sideband. But if both reasons are true, then the IF spectrum is not inverted, and the non-inverting BFO (43000&nbsp;Hz) should be used.

If <math>F_{\text{bfo}}\,</math> is off by a small amount, then the beat frequency is not exactly <math>F_b\,</math>, which can lead to the speech distortion mentioned earlier.

== SSB as a speech-scrambling technique ==

SSB techniques can also be adapted to frequency-shift and frequency-invert baseband [[waveform]]s ([[voice inversion]]). This voice scrambling method was made by running the audio of one side band modulated audio sample through its opposite (e.g. running an LSB modulated audio sample through a radio running USB modulation). 
These effects were used, in conjunction with other filtering techniques, during [[World War II]] as a simple method for speech [[encryption]]. [[Radiotelephone]] [[conversation]]s between the US and [[United Kingdom|Britain]] were intercepted and "decrypted" by the Germans; they included some early conversations between [[Franklin D. Roosevelt]] and [[Winston Churchill|Churchill]].{{Citation needed|date=February 2018}}  In fact, the signals could be understood directly by trained operators.  Largely to allow secure communications between Roosevelt and Churchill, the [[SIGSALY]] system of digital encryption was devised.

Today, such simple inversion-based speech [[encryption]] techniques are easily decrypted using simple techniques and are no longer regarded as secure.

==Vestigial sideband (VSB)==
[[File:VSB bandform.svg|thumb|VSB modulation]]
Limitation of single-sideband modulation being used for voice signals and not available for video/TV signals leads to the usage of '''vestigial sideband'''. A '''vestigial sideband''' (in [[radio]] communication) is a [[sideband]] that has been only partly cut off or suppressed.  Television broadcasts (in analog video formats) use this method if the [[video]] is [[transmission (telecommunications)|transmitted]] in [[amplitude modulation|AM]], due to the large [[bandwidth (signal processing)|bandwidth]] used. It may also be used in digital transmission, such as the [[ATSC standard]]ized [[8VSB]].

The broadcast or transport channel for TV in countries that use [[NTSC]] or [[ATSC]] has a bandwidth of 6&nbsp;MHz. To conserve bandwidth, SSB would be desirable, but the video signal has significant low-frequency content (average brightness) and has rectangular synchronising pulses. The engineering compromise is vestigial-sideband transmission. In vestigial sideband, the full upper sideband of bandwidth W2 = 4.0&nbsp;MHz is transmitted, but only W1 = 0.75&nbsp;MHz of the lower sideband is transmitted, along with a carrier. The carrier frequency is 1.25&nbsp;MHz above the lower edge of the 6&nbsp;MHz wide channel. This effectively makes the system AM at low modulation frequencies and SSB at high modulation frequencies. The absence of the lower sideband components at high frequencies must be compensated for, and this is done in the [[IF amplifier]].

==Frequencies for LSB and USB in amateur radio voice communication==
When single-sideband is used in amateur radio voice communications, it is common practice that for frequencies below 10&nbsp;MHz, lower sideband (LSB) is used and for frequencies of 10&nbsp;MHz and above, upper sideband (USB) is used.<ref>{{cite web|url=http://www.brats-qth.org/training/advanced/operate5.htm |title=BRATS – Advanced Amateur Radio Tuition Course |publisher=Brats-qth.org |access-date=2013-01-29}}</ref> For example, on the 40 m band, voice communications often take place around 7.100&nbsp;MHz using LSB mode. On the 20 m band at 14.200&nbsp;MHz, USB mode would be used.

An exception to this rule applies to the five discrete amateur channels on the 60-meter band (near 5.3&nbsp;MHz) where FCC rules specifically require USB.<ref>{{cite web|url=http://www.arrl.org/files/file/FCC%20Documents/47%20CFR%20Part%2097%20-%20September%2023%202014.pdf|title=FCC Part 97 - Amateur Service rules|publisher=www.fcc.gov}}</ref>

== Extended single sideband (eSSB) ==
Extended single sideband is any [[J3E]] (SSB-SC) mode that exceeds the audio bandwidth of standard or traditional 2.9&nbsp;kHz SSB J3E modes (ITU 2K90J3E) to support higher-quality sound. 
{| class="wikitable"
|-
! Extended SSB modes !! Bandwidth !! Frequency response !! ITU Designator
|-
| eSSB (Narrow-1a) || 3&nbsp;kHz || 100&nbsp;Hz ~ 3.10&nbsp;kHz || 3K00J3E
|-
| eSSB (Narrow-1b) || 3&nbsp;kHz || 50&nbsp;Hz ~ 3.05&nbsp;kHz || 3K00J3E
|-
| eSSB (Narrow-2) || 3.5&nbsp;kHz || 50&nbsp;Hz ~ 3.55&nbsp;kHz || 3K50J3E
|-
| eSSB (Medium-1) || 4&nbsp;kHz || 50&nbsp;Hz ~ 4.05&nbsp;kHz || 4K00J3E
|-
| eSSB (Medium-2) || 4.5&nbsp;kHz || 50&nbsp;Hz ~ 4.55&nbsp;kHz || 4K50J3E
|-
| eSSB (Wide-1) || 5&nbsp;kHz || 50&nbsp;Hz ~ 5.05&nbsp;kHz || 5K00J3E
|-
| eSSB (Wide-2) || 6&nbsp;kHz || 50&nbsp;Hz ~ 6.05&nbsp;kHz || 6K00J3E
|}

== Amplitude-companded single-sideband modulation ([[ACSSB]]) ==
Amplitude-companded single sideband ([[ACSSB]]) is a narrowband modulation method using a single sideband with a pilot tone, allowing an expander in the receiver to restore the amplitude that was severely compressed by the transmitter. It offers improved effective range over standard SSB modulation while simultaneously retaining backwards compatibility with standard SSB radios. ACSSB also offers reduced bandwidth and improved range for a given power level compared with narrow band FM modulation.

== Controlled-envelope single-sideband modulation ([[CESSB]]) ==

The generation of standard SSB modulation results in large envelope overshoots well above the average envelope level for a sinusoidal tone (even when the audio signal is peak-limited). The standard SSB envelope peaks are due to truncation of the spectrum and nonlinear phase distortion from the approximation errors of the practical implementation of the required Hilbert transform. It was recently shown that suitable overshoot compensation (so-called [[controlled-envelope single-sideband modulation]] or [[CESSB]]) achieves about 3.8&nbsp;dB of peak reduction for speech transmission. This results in an effective average power increase of about 140%.<ref>{{cite web|url=http://www.arrl.org/files/file/QEX_Next_Issue/2014/Nov-Dec_2014/Hershberger_QEX_11_14.pdf|title=Controlled Envelope Single Sideband|publisher=www.arrl.org|date=2014-11-01|access-date=2017-01-15}} by David L. Hershberger, W9GR, QEX, issue Nov./Dec. 2014, pp. 3–13.</ref>
Although the generation of the CESSB signal can be integrated into the SSB modulator, it is feasible to separate the generation of the CESSB signal (e.g. in form of an external speech preprocessor) from a standard SSB radio. This requires that the standard SSB radio's modulator be linear-phase and have a sufficient bandwidth to pass the CESSB signal. If a standard SSB modulator meets these requirements, then the envelope control by the CESSB process is preserved.<ref>{{cite web|url=http://www.arrl.org/files/file/QEX_Next_Issue/2016/January_February_2016/Hershberger_QEX_1_16.pdf|title=External Processing for Controlled Envelope Single Sideband|publisher=www.arrl.org|date=2016-01-01|access-date=2017-01-15}} by David L. Hershberger, W9GR, QEX, issue Jan./Feb. 2016, pp. 9–12.</ref>

== ITU designations ==
In 1982, the [[International Telecommunication Union]] (ITU) designated the types of amplitude modulation:
{|class="wikitable"
|-
! Designation
! Description
|-
| A3E || [[Double sideband|Double-sideband]] full-carrier – the basic amplitude-modulation scheme
|-
| R3E || Single-sideband [[Reduced-carrier transmission|reduced-carrier]]
|-
| H3E || Single-sideband full-carrier
|-
| J3E || [[Single-sideband suppressed-carrier transmission|Single-sideband suppressed-carrier]]
|-
| B8E || [[Independent sideband|Independent-sideband]] emission
|-
| C3F || [[Vestigal sideband|Vestigial-sideband]]
|-
| Lincompex || Linked [[compander|compressor and expander]]
|}<!--single mid band linked modulation
[B4E side bander inter linked] [expand carrier] full reduced.aLTIDOE-->

==See also==
* [[ACSSB]],  amplitude-companded single sideband
* [[Independent sideband]]
* [[Modulation]] for other examples of modulation techniques
* [[Sideband]] for more general information about a sideband

==References==
<references/>

==Sources==
*Partly from [[Federal Standard 1037C]] in support of [[MIL-STD-188]]

==Further reading==
* Sgrignoli, G., W. Bretl, R. and Citta. (1995). "VSB modulation used for terrestrial and cable broadcasts." ''IEEE Transactions on Consumer Electronics.'' v. 41, issue 3, p.&nbsp;367 - 382.
* J. Brittain, (1992). "Scanning the past: Ralph V.L. Hartley", ''Proc. IEEE'', vol.80,p.&nbsp;463.
* [http://www.nu9n.com/essb.html eSSB - Extended Single Sideband]

{{Analogue TV transmitter topics}}

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[[Category:Radio modulation modes]]
[[Category:Electronic design]]