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{{Modulation techniques}}
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'''Amplitude modulation''' ('''AM''') is a [[modulation]] technique used in electronic communication, most commonly for transmitting information via a [[radio]] [[carrier wave]]. AM works by varying the strength ([[amplitude]]) of the carrier in proportion to the waveform being sent.  That waveform may, for instance, correspond to the sounds to be reproduced by a [[loudspeaker]], or the light intensity of television pixels.  This contrasts with [[frequency modulation]], in which the [[frequency]] of the [[carrier signal]] is varied, and [[phase modulation]], in which its [[Phase (waves)|phase]] is varied, by the modulating signal.
 
AM was the earliest modulation method used to transmit voice by radio. It was developed during the first two decades of the 20th century beginning with [[Reginald Fessenden]]'s [[radiotelephone]] experiments in 1900.  It remains in use today in many forms of communication; for example it is used in portable [[two way radio]]s, [[Airband|VHF aircraft radio]] and in computer [[modem]]s{{cn|date=January 2014}}. "AM" is often used to refer to [[mediumwave]] [[AM broadcasting|AM radio broadcasting]].
 
[[File:Amfm3-en-de.gif|thumb|right|250px|Fig 1: An audio signal (top) may be carried by an AM or [[Frequency modulation|FM]] radio wave.|alt=Animation of audio, AM and FM sine waves]]
 
==Forms of amplitude modulation==
 
In [[electronics]] and [[telecommunications]], [[modulation]] means varying some aspect of a higher frequency [[continuous wave]] [[carrier signal]] with an information-bearing modulation waveform, such as an [[audio signal]] which represents sound, or a [[video signal]] which represents images, so the carrier will "carry" the information. When it reaches its destination, the information signal is extracted from the modulated carrier by [[demodulation]].
 
In amplitude modulation, the [[amplitude]] or "strength" of the carrier oscillations is what is varied.  For example, in AM radio communication, a [[continuous wave]] radio-frequency signal (a [[Sine wave|sinusoid]]al [[carrier wave]]) has its [[amplitude]] [[modulation|modulated]] by an audio waveform before transmission.    The audio waveform modifies the amplitude of the carrier wave and determines the ''[[Envelope (waves)|envelope]]'' of the waveform. In the [[frequency domain]], amplitude modulation produces a signal with power concentrated at the carrier frequency and two adjacent [[sideband]]s. Each sideband is equal in [[bandwidth (signal processing)|bandwidth]] to that of the modulating signal, and is a mirror image of the other. Standard AM is thus sometimes called "double-sideband amplitude modulation" (DSB-AM) to distinguish it from more sophisticated modulation methods also based on AM.
 
One disadvantage of all amplitude modulation techniques (not only standard AM) is that the receiver amplifies and detects [[Noise (radio)|noise]] and [[electromagnetic interference]] in equal proportion to the signal. Increasing the received [[signal to noise ratio]], say, by a factor of 10 (a 10 [[decibel]] improvement), thus would require increasing the transmitter power by a factor of 10. This is in contrast to  [[frequency modulation]] (FM) and [[digital radio]] where the effect of such noise following [[demodulation]] is strongly reduced so long as the received signal is well above the threshold for reception. For this reason AM broadcast is not favored for music and [[high fidelity]] broadcasting, but rather for voice communications and broadcasts (sports, news, [[talk radio]] etc.).
 
Another disadvantage of AM is that it is inefficient in power usage; at least two-thirds of the power is concentrated in the carrier signal.  The carrier signal contains none of the original information being transmitted (voice, video, data, etc.).  However its presence provides a simple means of demodulation using [[envelope detector|envelope detection]], providing a frequency and phase reference to extract the modulation from the sidebands. In some modulation systems based on AM, a lower transmitter power is required through partial or total elimination of the carrier component, however receivers for these signals are more complex and costly. The receiver may regenerate a copy of the carrier frequency (usually as shifted to the [[intermediate frequency]]) from a greatly reduced "pilot" carrier (in [[reduced-carrier transmission]] or DSB-RC) to use in the demodulation process. Even with the carrier totally eliminated in [[double-sideband suppressed-carrier transmission]], carrier regeneration is possible using a [[Costas loop|Costas phase-locked loop]]. This doesn't work however for [[single-sideband suppressed-carrier transmission]] (SSB-SC), leading to the characteristic "Donald Duck" sound from such receivers when slightly detuned. Single sideband is nevertheless used widely in [[amateur radio]] and other voice communications both due to its power efficiency and bandwidth efficiency (cutting the RF bandwidth in half compared to standard AM). On the other hand, in [[medium wave]] and [[short wave]] broadcasting, standard AM with the full carrier allows for reception using inexpensive receivers. The broadcaster absorbs the extra power cost to greatly increase potential audience. 
 
An additional function provided by the carrier in standard AM, but which is lost in either single or double-sideband suppressed-carrier transmission, is that it provides an amplitude reference. In the receiver, the [[automatic gain control]] (AGC) responds to the carrier so that the reproduced audio level stays in a fixed proportion to the original modulation. On the other hand, with suppressed-carrier transmissions there is ''no'' transmitted power during pauses in the modulation, so the AGC must respond to peaks of the transmitted power during peaks in the modulation. This typically involves a so-called ''fast attack, slow decay'' circuit which holds the AGC level for a second or more following such peaks, in between syllables or short pauses in the program. This is very acceptable for communications radios, where [[Dynamic range compression|compression]] of the audio aids intelligibility. However it is absolutely undesired for music or normal broadcast programming, where a faithful reproduction of the original program, including its varying modulation levels, is expected.
 
A trivial form of AM which can be used for transmitting [[Digital data|binary data]] is [[on-off keying]], the simplest form of ''[[amplitude-shift keying]]'', in which [[Binary numeral system|ones and zeros]] are represented by the presence or absence of a carrier. On-off keying is likewise used by radio amateurs to transmit [[Morse code]] where it is known as [[continuous wave]] (CW) operation, even though the transmission is not strictly "continuous."
 
===ITU designations===
 
In 1982, the [[International Telecommunication Union]] (ITU) designated the types of amplitude modulation:
{|class="wikitable"
|-
!Designation!!Description
|-
|A3E||[[double sideband|double-sideband]] a full-carrier - the basic Amplitude modulation scheme
|-
|R3E||[[Single-sideband modulation|single-sideband]] [[Reduced-carrier transmission|reduced-carrier]]
|-
|H3E||[[Single-sideband modulation|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-->
 
==History==
[[Image:Telefunken arc radiotelephone.jpg|thumb|One of the crude pre-vacuum tube AM transmitters, a Telefunken [[arc converter|arc transmitter]] from 1906.  The carrier wave is generated by 6 electric arcs in the vertical tubes, connected to a [[tuned circuit]].  Modulation is done by the large carbon microphone ''(cone shape)'' in the antenna lead. ]]
[[Image:Meissner radiotelephone transmitter.jpg|thumb|One of the first [[vacuum tube]] AM radio transmitters, built by Meissner in 1913 with an early triode tube by Robert von Lieben. He used it in a historic 36 km (24 mi) voice transmission from Berlin to Nauen, Germany. Compare its small size with above transmitter. ]]
 
Although AM was used in a few crude experiments in multiplex telegraph and telephone transmission in the late 1800s,<ref name="Bray">{{cite book 
  | last = Bray
  | first = John
  | title = Innovation and the Communications Revolution: From the Victorian Pioneers to Broadband Internet
  | publisher = Inst. of Electrical Engineers
  | year = 2002
  | location =
  | pages = 59, 61–62
  | url = http://books.google.com/books?id=3h7R36Y0yFUC&pg=PA61
  | doi =
  | id =
  | isbn = 0852962185}}</ref> the practical development of amplitude modulation is synonymous with the development between 1900 and 1920 of "[[radiotelephone]]" transmission, that is, the effort to send sound (audio) by radio waves.  The first radio transmitters, called [[spark gap transmitter]]s, transmitted information by [[wireless telegraphy]], using different length pulses of carrier wave to spell out text messages in [[Morse code]].  They couldn't transmit audio because the carrier consisted of strings of [[damped wave]]s, pulses of radio waves that declined to zero, that sounded like a buzz in receivers. In effect they were already amplitude modulated.
 
===Continuous waves===
The first AM transmission was made by Canadian researcher [[Reginald Fessenden]] on 23 December 1900 using a [[spark gap transmitter]] with a specially designed high frequency 10&nbsp;kHz [[induction coil|interrupter]], over a distance of 1 mile (1.6&nbsp;km) at Cobb Island, Maryland, USA.  His first transmitted words were, "Hello. One, two, three, four.  Is it snowing where you are, Mr. Thiessen?".  The words were barely intelligible above the background buzz of the spark.
 
Fessenden was a significant figure in the development of AM radio.  He was one of the first researchers to realize, from experiments like the above, that the existing technology for producing radio waves, the spark transmitter, was not usable for amplitude modulation, and that a new kind of transmitter, one that produced [[sinusoidal]] ''[[continuous wave]]s'', was needed. This was a radical idea at the time, because experts believed the impulsive spark was necessary to produce radio frequency waves, and Fessenden was ridiculed.  He invented and helped develop one of the first continuous wave transmitters - the [[Alexanderson alternator]], with which he made what is considered the first AM public entertainment broadcast on Christmas Eve, 1906.  He also discovered the principle on which AM modulation is based, [[heterodyne|heterodyning]], and invented one of the first [[detector (radio)|detector]]s able to [[rectifier|rectify]] and receive AM, the electrolytic detector or "liquid baretter", in 1902.  Other radio detectors invented for wireless telegraphy, such as the [[Fleming valve]] (1904) and the [[crystal detector]] (1906) also proved able to rectify AM signals, so the technological hurdle was generating AM waves; receiving them was not a problem.
 
===Early technologies===
Early experiments in AM radio transmission, conducted by Fessenden, Valdamar Poulsen, Ernst Ruhmer, [[Quirino Majorana]], Charles Harrold, and [[Lee De Forest]], were hampered by the lack of a technology for [[amplifier|amplification]].  The first practical continuous wave AM [[transmitter]]s  were based on either the huge, expensive [[Alexanderson alternator]], or versions of the [[Poulsen arc]] transmitter (arc converter), invented in 1903.  The modifications necessary to transmit AM were clumsy and resulted in  very low quality audio.  Modulation was usually accomplished by a carbon [[microphone]] inserted directly in the antenna or ground wire; its varying resistance varied the current to the antenna.  The limited power handling ability of the microphone severely limited the power of the first radiotelephones.
 
===Vacuum tubes===
The discovery in 1912 of the amplifying ability of the [[Audion]] [[vacuum tube]], invented in 1906 by [[Lee De Forest]], solved these problems.  The vacuum tube [[electronic oscillator|feedback oscillator]], invented in 1912 by [[Edwin Armstrong]] and [[Alexander Meissner]], was a cheap source of [[continuous wave]]s and could be easily [[modulation|modulated]] to make an AM transmitter.  Modulation did not have to be done at the output but could be applied to the signal before the final amplifier tube, so the microphone or other audio source didn't have to handle high power. Nongovernmental radio transmission was prohibited by many countries during World War 1, but after the war the availability of cheap tubes sparked a great increase in the number of radio stations experimenting with AM transmission of news or music.  The vacuum tube was responsible for the rise of [[AM broadcasting|AM radio broadcasting]] around 1920, transforming radio from a high-tech hobby to the first electronic mass entertainment medium.
 
Amplitude modulation was virtually the only type used for [[radio broadcasting]] until [[FM broadcasting]] began after World War 2.  The vacuum tube also created another large application for AM; sending multiple telephone calls through a single wire by modulating them on multiple carrier frequencies, called ''[[frequency division multiplexing]]''.<ref name="Bray" />
 
===Mathematical analysis===
John Renshaw Carson in 1915 did the first mathematical analysis of amplitude modulation, showing that a signal and carrier frequency combined in a nonlinear device would create two sidebands on either side of the carrier frequency, and passing the modulated signal through another nonlinear device would extract the original baseband signal.<ref name="Bray" /> His analysis showed only one sideband was necessary to transmit the audio signal, and Carson patented [[single-sideband modulation]]  1 December 1915.<ref name="Bray" />  SSB was used beginning 7 January 1927 by AT&T for [[longwave]] transatlantic telephone service.  After WW2 it was developed by the military for aircraft communication.
 
==Example: double-sideband AM==
[[File:Am2 spec.gif|thumb|Left part: Modulating signal. Right part: Frequency spectrum of the resulting amplitude modulated carrier]]
[[File:AM spectrum.svg|thumb|400px|Fig 2: Double-sided spectra of baseband and AM signals.|alt=Diagrams of an AM signal, with formulas]]
 
A carrier wave is modeled as a sine wave:
 
:<math>c(t) = A\cdot \sin(\omega_c t + \phi_c),\,</math>
 
in which the frequency in [[Hertz|Hz]] is given by:
 
:<math>\omega_c / (2\pi).\,</math>
 
The constants <math>A\,</math> and <math>\phi_c\,</math> represent the carrier amplitude and initial phase, and are introduced for generality. For simplicity, their respective values can be set to 1 and 0.
 
Let ''m''(''t'') represent an arbitrary waveform that is the message to be transmitted, e.g., a simple audio tone of form:
 
:<math>m(t) = M\cdot \cos(\omega_m t + \phi).\,</math>
 
where constant ''M'' represent the largest magnitude, and the frequency is:
 
:<math>\omega_m / (2\pi).\,</math>
 
It is assumed that &nbsp;<math>\omega_m \ll \omega_c\,</math>&nbsp; and that &nbsp;<math>\min[ m(t) ] = -M.\,</math>
 
Amplitude modulation is formed by the product:
 
:{|
|<math>y(t)\,</math>
|<math>= [1 + m(t)]\cdot c(t) \,</math>
|-
|
|<math>= [1 + M\cdot \cos(\omega_m t + \phi)] \cdot A \cdot \sin(\omega_c t)</math>
|}
 
<math>A\,</math> represents the carrier amplitude. The values ''A''=1 and ''M''=0.5 produce ''y''(''t''), depicted by the top graph (labelled "50% Modulation") in Figure 4.
 
Using [[Prosthaphaeresis#The_identities|prosthaphaeresis identities]], ''y''(''t'') can be written in the form
 
:<math>y(t) = A\cdot \sin(\omega_c t) + \begin{matrix}\frac{AM}{2} \end{matrix} \left[\sin((\omega_c + \omega_m) t + \phi) + \sin((\omega_c - \omega_m) t - \phi)\right].\,</math>
 
Therefore, the modulated signal has three components: a carrier wave and two sinusoidal waves (known as [[sideband]]s), whose frequencies are slightly above and below &nbsp;<math>\omega_c.\,</math>
 
===Spectrum===
For more general forms of ''m''(''t''), trigonometry is not sufficient; however, if the top trace of Figure 2 depicts the frequency of ''m''(''t'') the bottom trace depicts the modulated carrier. It has two components: one at a positive [[frequency]] (centered on <math>+\omega_c</math>) and one at a [[negative frequency]] (centered on <math>-\omega_c</math>). Each component contains the two sidebands and a narrow segment in between, representing energy at the carrier frequency. Since the negative frequency is a mathematical artifact, examining the positive frequency demonstrates that an AM signal's spectrum consists of its original (two-sided) spectrum, shifted to the carrier frequency. Figure 2 is a result of computing the [[Fourier transform]] of: &nbsp; <math>[A + m(t)]\cdot \sin(\omega_c t),\,</math> using the following transform pairs:
 
:<math>
\begin{align}
                  m(t) \quad \stackrel{\mathcal{F}}{\Longleftrightarrow}&\quad M(\omega) \\
      \sin(\omega_c t) \quad \stackrel{\mathcal{F}}{\Longleftrightarrow}&\quad i \pi \cdot [\delta(\omega +\omega_c)-\delta(\omega-\omega_c)] \\
A\cdot \sin(\omega_c t) \quad \stackrel{\mathcal{F}}{\Longleftrightarrow}&\quad i \pi A \cdot [\delta(\omega +\omega_c)-\delta(\omega-\omega_c)] \\
m(t)\cdot A\sin(\omega_c t) \quad \stackrel{\mathcal{F}}{\Longleftrightarrow}& \frac{A}{2\pi}\cdot \{M(\omega)\} * \{i \pi \cdot [\delta(\omega +\omega_c)-\delta(\omega-\omega_c)]\} \\
=& \frac{iA}{2}\cdot [M(\omega +\omega_c) - M(\omega -\omega_c)]
\end{align}
</math>
 
[[File:AM signal.jpg|thumb|200px|right|Fig 3: The [[spectrogram]] of an AM broadcast shows its two sidebands (green), separated by the carrier signal (red).|alt=Sonogram of an AM signal, showing the carrier and both sidebands vertically]]
 
===Power and spectrum efficiency===
The RF bandwidth of an AM transmission (refer to Figure 2, but only considering positive frequencies) is twice the bandwidth of the modulating (or "[[baseband]]") signal, since the positive and negative sidebands around the carrier frequency each have a bandwidth as wide as the highest modulating frequency. Although the bandwidth of an AM signal is narrower than one using [[frequency modulation]] (FM), it is twice as wide as [[single-sideband]] techniques; it thus may be viewed as spectrally inefficient. Within a frequency band, only half as many transmissions (or "channels") can thus be accommodated. For this reason television employs a variant of single-sideband (known as [[vestigial sideband]], somewhat of a compromise in terms of bandwidth) in order to reduce the required channel spacing.
 
Another improvement over standard AM is obtained through reduction or suppression of the carrier component of the modulated spectrum. In Figure 2 this is the spike in between the sidebands; even with full (100%) sine wave modulation, the power in the carrier component is twice that in the sidebands, yet it carries no unique information. Thus there is a great advantage in efficiency in reducing or totally suppressing the carrier, either in conjunction with elimination of one sideband ([[single-sideband suppressed-carrier transmission]]) or with both sidebands remaining ([[double sideband suppressed carrier]]). While these suppressed carrier transmissions are efficient in terms of transmitter power, they require more sophisticated receivers employing [[Product detector|synchronous detection]] and regeneration of the carrier frequency. For that reason, standard AM continues to be widely used, especially in broadcast transmission, to allow for the use of inexpensive receivers using [[envelope detector|envelope detection]]. Even (analog) television, with a (largely) suppressed lower sideband, includes sufficient carrier power for use of envelope detection. But for communications systems where both transmitters and receivers can be optimized, suppression of both one sideband and the carrier represent a net advantage and are frequently employed.
 
==Modulation Index==
The AM modulation index is a measure based on the ratio of the modulation excursions of the RF signal to the level of the unmodulated carrier. It is thus defined as:
:<math>h = \frac{\mathrm{peak\ value\ of\ } m(t)}{A} = \frac{M}{A}  </math>  
where <math>M\,</math> and <math>A\,</math> are the modulation amplitude and carrier amplitude, respectively; the modulation amplitude is the peak (positive or negative) change in the RF amplitude from its unmodulated value. Modulation index is normally expressed as a percentage, and may be displayed on a meter connected to an AM transmitter.
 
So if <math>h=0.5</math>, carrier amplitude varies by 50% above (and below) its unmodulated level, as is shown in the first waveform, below. For <math>h=1.0</math>, it varies by 100% as shown in the illustration below it. With 100% modulation the wave amplitude sometimes reaches zero, and this represents full modulation using standard AM and is often a target (in order to obtain the highest possible [[signal to noise ratio]]) but mustn't be exceeded. Increasing the modulating signal beyond that point, known as [[overmodulation]], causes a standard AM modulator (see below) to fail, as the negative excursions of the wave envelope cannot become less than zero, resulting in [[distortion]] ("clipping") of the received modulation. Transmitters typically incorporate a [[limiter]] circuit to avoid overmodulation, and/or a [[Dynamic range compression|compressor]] circuit (especially for voice communications) in order to still approach 100% modulation for maximum intelligibility above the noise. Such circuits are sometimes referred to as a [[vogad]].
 
However it is possible to talk about a modulation index exceeding 100%, without introducing distortion, in the case of [[double-sideband reduced-carrier transmission]]. In that case, negative excursions beyond zero entail a reversal of the carrier phase, as shown in the third waveform below. This cannot be produced using the efficient high-level (output stage) modulation techniques (see below) which are widely used especially in high power [[broadcast]] transmitters. Rather, a special modulator produces such a waveform at a low level followed by a [[linear amplifier]]. What's more, a standard AM receiver using an [[envelope detector]] is incapable of properly demodulating such a signal. Rather, synchronous detection is required. Thus double-sideband transmission is generally ''not'' referred to as "AM" even though it generates an identical RF waveform as standard AM as long as the modulation index is below 100%. Such systems more often attempt a radical reduction of the carrier level compared to the sidebands (where the useful information is present) to the point of [[double-sideband suppressed-carrier transmission]] where the carrier is (ideally) reduced to zero. In all such cases the term "modulation index" loses its value as it refers to the ratio of the modulation amplitude to a rather small (or zero) remaining carrier amplitude.
 
[[File:Amplitude Modulated Wave-hm-64.svg|frame|center|Fig 4: Modulation depth|alt=Graphs illustrating how signal intelligibility increases with modulation index, but only up to 100% using standard AM.]]
 
=={{anchor|AM modulation methods}}Modulation methods==
 
[[File:ammodstage.png|300px|right|thumb|Anode (plate) modulation. A tetrode's plate and screen grid voltage is modulated via an audio transformer. The resistor R1 sets the grid bias; both the input and output are tuned circuits with inductive coupling.]]
 
Modulation circuit designs may be classified as low- or high-level (depending on whether they modulate in a low-power domain—followed by amplification for transmission—or in the high-power domain of the transmitted signal).<ref>
{{cite book
| title = Communication Engineering
| author = A.P.Godse and U.A.Bakshi
| publisher = Technical Publications
| year = 2009
| isbn = 978-81-8431-089-4
| page = 36
| url = http://books.google.com/books?id=coQ6ac-fh6QC&pg=PA36
}}</ref>
 
===Low-level generation===
In modern radio systems, modulated signals are generated via [[digital signal processing]] (DSP). With DSP many types of AM are possible with software control (including DSB with carrier, SSB suppressed-carrier and independent sideband, or ISB). Calculated digital samples are converted to voltages with a [[digital to analog converter]], typically at a frequency less than the desired RF-output frequency. The analog signal must then be shifted in frequency and [[linear amplifier|linearly amplified]] to the desired frequency and power level (linear amplification must be used to prevent modulation distortion).<ref>
{{cite book
|publisher= American Radio Relay League
|title= The ARRL Handbook for Radio Communications
|editor1-last= Silver |editor1-first= Ward
|edition= Eighty-eighth
|year= 2011
|chapter= Ch. 15 DSP and Software Radio Design
|isbn= 978-0-87259-096-0}}</ref>
This low-level method for AM is used in many Amateur Radio transceivers.<ref>{{cite book
|publisher= American Radio Relay League
|title= The ARRL Handbook for Radio Communications
|editor1-last= Silver |editor1-first= Ward
|edition= Eighty-eighth
|year= 2011
|chapter= Ch. 14 Transceivers
|isbn= 978-0-87259-096-0}}</ref>
 
AM may also be generated at a low level, using analog methods described in the next section.
 
===High-level generation===
High-power AM [[transmitter]]s (such as those used for [[AM broadcasting]]) are based on high-efficiency class-D and class-E [[Electronic amplifier|power amplifier]] stages, modulated by varying the supply voltage.<ref>
{{cite journal
|author= Frederick H. Raab, et al
|title= RF and Microwave Power Amplifier and Transmitter Technologies - Part 2
|journal= High Frequency Design
|date=May 2003
|page= p. 22ff
|url= http://www.scribd.com/doc/8616046/RF-Power-Amplifier-and-Transmitter-Technologies-Part2
}}</ref>
 
Older designs (for broadcast and amateur radio) also generate AM by controlling the gain of the transmitter’s final amplifier (generally class-C, for efficiency). The following types are for vacuum tube transmitters (but similar options are available with transistors):<ref>
{{cite book
|author= Laurence Gray and Richard Graham
|title= Radio Transmitters
|publisher= McGraw-Hill
|year= 1961
|page= 141ff
}}</ref>
 
* '''Plate modulation:''' In plate modulation, the plate voltage of the RF amplifier is modulated with the audio signal. The audio power requirement is 50 percent of the RF-carrier power.
* '''Heising (constant-current) modulation:''' RF amplifier plate voltage is fed through a [[Choke (electronics)|“choke”]] (high-value inductor). The AM modulation tube plate is fed through the same inductor, so the modulator tube diverts current from the RF amplifier. The choke acts as a constant current source in the audio range. This system has a low power efficiency.
* '''Control grid modulation:''' The operating bias and gain of the final RF amplifier can be controlled by varying the voltage of the control grid. This method requires little audio power, but care must be taken to reduce distortion.
* '''Clamp tube (screen grid) modulation:''' The screen-grid bias may be controlled through a “clamp tube”, which reduces voltage according to the modulation signal. It is difficult to approach 100-percent modulation while maintaining low distortion with this system.
* '''[[Doherty amplifier|Doherty modulation:]]''' One tube provides the power under carrier conditions and another operates only for positive modulation peaks. Overall efficiency is good, and distortion is low.
* '''[[Ampliphase|Outphasing modulation:]]''' Two tubes are operated in parallel, but partially out of phase with each other. As they are differentially phase modulated  their combined amplitude is greater or smaller.  Efficiency is good and distortion low when properly adjusted.
* '''[[Pulse-width modulation|Pulse width modulation(PWM) or Pulse duration modulation (PDM):]]''' A highly efficient high voltage power supply is applied to the tube plate. The output voltage of this supply is varied at an audio rate to follow the program.  This system was pioneered by [[Hilmer Swanson]] and has a number of variations, all of which achieve high efficiency and sound quality.
 
=={{anchor|AM demodulation methods}}Demodulation methods==
The simplest form of AM demodulator consists of a diode which is configured to act as [[envelope detector]].  Another type of demodulator, the [[product detector]], can provide better-quality demodulation with additional circuit complexity.
 
==See also==
* [[AM broadcasting|AM radio]]
* [[AM stereo]]
* [[Mediumwave]] band used for AM broadcast radio
* [[Longwave]] band used for AM broadcast radio
* [[Frequency modulation]]
* [[Shortwave radio]] almost universally uses AM, narrow FM occurring above 25&nbsp;MHz.
* [[Modulation]], for a list of other modulation techniques
* [[Amplitude modulation signalling system]] (AMSS), a digital system for adding low bitrate information to an AM signal.
* [[Sideband]], for some explanation of what  this is.
* [[Types of radio emissions]], for the emission types designated by the [[ITU]]
* [[Airband]]
* [[Quadrature amplitude modulation]]
 
==References==
;Notes
{{Reflist}}
;Sources
* Newkirk, David and Karlquist, Rick (2004).  Mixers, modulators and demodulators.  In D. G. Reed (ed.), ''The ARRL Handbook for Radio Communications'' (81st ed.), pp.&nbsp;15.1&ndash;15.36.  Newington: ARRL.  ISBN 0-87259-196-4.
 
==External links==
* ''[http://demonstrations.wolfram.com/AmplitudeModulation/ Amplitude Modulation]'' by Jakub Serych, [[Wolfram Demonstrations Project]].
* [http://robotics.eecs.berkeley.edu/~sastry/ee20/modulation/node3.html Amplitude Modulation], by S Sastry.
* [http://www.fas.org/man/dod-101/navy/docs/es310/AM.htm Amplitude Modulation], an introduction by [[Federation of American Scientists]].
* [http://www.afrotechmods.com/videos/amplitude_modulation_tutorial.htm Amplitude Modulation tutorial video with example transmitter circuit.]
 
{{Telecommunications}}
{{Audio broadcasting}}
 
{{DEFAULTSORT:Amplitude Modulation}}
[[Category:Radio modulation modes]]

Revision as of 22:44, 4 March 2014



It is very common to have a dental emergency -- a fractured tooth, an abscess, or severe pain when chewing. Over-the-counter pain medication is just masking the problem. Seeing an emergency dentist is critical to getting the source of the problem diagnosed and corrected as soon as possible.

Here are some common dental emergencies:
Toothache: The most common dental emergency. This generally means a badly decayed tooth. As the pain affects the tooth's nerve, treatment involves gently removing any debris lodged in the cavity being careful not to poke deep as this will cause severe pain if the nerve is touched. Next rinse vigorously with warm water. Then soak a small piece of cotton in oil of cloves and insert it in the cavity. This will give temporary relief until a dentist can be reached.

At times the pain may have a more obscure location such as decay under an old filling. As this can be only corrected by a dentist there are two things you can do to help the pain. Administer a pain pill (aspirin or some other analgesic) internally or dissolve a tablet in a half glass (4 oz) of warm water holding it in the mouth for several minutes before spitting it out. DO NOT PLACE A WHOLE TABLET OR ANY PART OF IT IN THE TOOTH OR AGAINST THE SOFT GUM TISSUE AS IT WILL RESULT IN A NASTY BURN.

Swollen Jaw: This may be caused by several conditions the most probable being an abscessed tooth. In any case the treatment should be to reduce pain and swelling. An ice pack held on the outside of the jaw, (ten minutes on and ten minutes off) will take care of both. If this does not control the pain, an analgesic tablet can be given every four hours.

Other Oral Injuries: Broken teeth, cut lips, bitten tongue or lips if severe means a trip to a dentist as soon as possible. In the mean time rinse the mouth with warm water and place cold compression the face opposite the injury. If there is a lot of bleeding, apply direct pressure to the bleeding area. If bleeding does not stop get patient to the emergency room of a hospital as stitches may be necessary.

Prolonged Bleeding Following Extraction: Place a gauze pad or better still a moistened tea bag over the socket and have the patient bite down gently on it for 30 to 45 minutes. The tannic acid in the tea seeps into the tissues and often helps stop the bleeding. If bleeding continues after two hours, call the dentist or take patient to the emergency room of the nearest hospital.

Broken Jaw: If you suspect the patient's jaw is broken, bring the upper and lower teeth together. Put a necktie, handkerchief or towel under the chin, tying it over the head to immobilize the jaw until you can get the patient to a dentist or the emergency room of a hospital.

Painful Erupting Tooth: In young children teething pain can come from a loose baby tooth or from an erupting permanent tooth. Some relief can be given by crushing a little ice and wrapping it in gauze or a clean piece of cloth and putting it directly on the tooth or gum tissue where it hurts. The numbing effect of the cold, along with an appropriate dose of aspirin, usually provides temporary relief.

In young adults, an erupting 3rd molar (Wisdom tooth), especially if it is impacted, can cause the jaw to swell and be quite painful. Often the gum around the tooth will show signs of infection. Temporary relief can be had by giving aspirin or some other painkiller and by dissolving an aspirin in half a glass of warm water and holding this solution in the mouth over the sore gum. AGAIN DO NOT PLACE A TABLET DIRECTLY OVER THE GUM OR CHEEK OR USE THE ASPIRIN SOLUTION ANY STRONGER THAN RECOMMENDED TO PREVENT BURNING THE TISSUE. The swelling of the jaw can be reduced by using an ice pack on the outside of the face at intervals of ten minutes on and ten minutes off.

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