To install click the Add extension button. That's it.

The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.

4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Grigorievskiy
I use WIKI 2 every day and almost forgot how the original Wikipedia looks like.
Live Statistics
English Articles
Improved in 24 Hours
Added in 24 Hours
What we do. Every page goes through several hundred of perfecting techniques; in live mode. Quite the same Wikipedia. Just better.
.
Leo
Newton
Brights
Milds

Angle modulation

From Wikipedia, the free encyclopedia

Angle modulation is a class of carrier modulation that is used in telecommunications transmission systems. The class comprises frequency modulation (FM) and phase modulation (PM), and is based on altering the frequency or the phase, respectively, of a carrier signal to encode the message signal. This contrasts with varying the amplitude of the carrier, practiced in amplitude modulation (AM) transmission, the earliest of the major modulation methods used widely in early radio broadcasting.

Foundation

In general form, an analog modulation process of a sinusoidal carrier wave may be described by the following equation:[1]

.

A(t) represents the time-varying amplitude of the sinusoidal carrier wave and the cosine-term is the carrier at its circular frequency , and the instantaneous phase deviation . This description directly provides the two major groups of modulation, amplitude modulation and angle modulation. In amplitude modulation, the angle term is held constant, while in angle modulation the term A(t) is constant and the second term of the equation has a functional relationship to the modulating message signal.

The functional form of the cosine term, which contains the expression of the instantaneous phase as its argument, provides the distinction of the two types of angle modulation, frequency modulation (FM) and phase modulation (PM).[2] In FM the message signal causes a functional variation of the carrier frequency. These variations are controlled by both the frequency and the amplitude of the modulating wave. In phase modulation, the instantaneous phase deviation of the carrier is controlled by the modulating waveform, such that the principal frequency remains constant.

For frequency modulation, the instantaneous frequency of an angle-modulated carrier wave is given by the first derivative with respect to time of the instantaneous phase:

,

in which may be defined as the instantaneous frequency deviation, measured in rad/s.

In principle, the modulating signal in both frequency and phase modulation may either be analog in nature, or it may be digital. In general, however, when using digital signals to modify the carrier wave, the method is called keying, rather than modulation.[3] Thus, telecommunications modems use frequency-shift keying (FSK), phase-shift keying (PSK), or amplitude-phase keying (APK), or various combinations. Furthermore, another digital modulation is line coding, which uses a baseband carrier, rather than a passband wave.

The methods of angle modulation can provide better discrimination against interference and noise than amplitude modulation.[2] These improvements, however, are a tradeoff against increased bandwidth requirements.

Frequency modulation

Frequency modulation is widely used for FM broadcasting of radio programming, and largely supplanted amplitude modulation for this purpose starting in the 1930s, with its invention by American engineer Edwin Armstrong in 1933.[4] FM also has many other applications, such as in two-way radio communications, and in FM synthesis for music synthesizers.

Phase modulation

Phase modulation is important in major application areas including cellular and satellite telecommunications, as well as in data networking methods, such as in some digital subscriber line systems, and WiFi.

The combination of phase modulation with amplitude modulation, practiced as early as 1874 by Thomas Edison in the quadruplex telegraph for transmitting four signals, two each in both directions of transmission, constitutes the polar modulation technique.

References

  1. ^ AT&T, Telecommunication Transmission Engineering, Volume 1—Principles, 2nd Edition, Bell Center for Technical Education (1977)
  2. ^ a b Simon Haykin, Communication Systems, John Wiley & Sons (2001), ISBN 0-471-17869-1, p.107
  3. ^ Whitham D. Reeve, Subscriber Loop Signaling and Transmission Handbook- Digital, IEEE Press (1995), ISBN 0-7803-0440-3, p. 5.
  4. ^ Armstrong, E. H. (May 1936), "A Method of Reducing Disturbances in Radio Signaling by a System of Frequency Modulation", Proc. IRE, 24 (5): 689–740

Further reading

  • Bell Telephone Laboratories, Transmission Systems for Communications, 5th Edition, Holmdel, NJ, 1982, Chapter 6—Signal Conditioning, p.93.
This page was last edited on 11 August 2019, at 15:55
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.