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In [[electronics]] and [[telecommunications]], '''modulation''' is the process of varying one or more properties of a periodic [[waveform]], called the ''[[carrier signal]]'', with a separate signal called the ''modulation signal'' that typically contains information to be transmitted.<ref>{{Cite web |date=2014-10-22 |title=How does modulation work? {{!}} Tait Radio Academy |url=https://www.taitradioacademy.com/topic/how-does-modulation-work-1-1/ |access-date=2024-06-17 |website=Tait Radio Academy}}</ref> For example, the modulation signal might be an [[audio signal]] representing [[sound]] from a [[microphone]], a [[video signal]] representing moving images from a [[video camera]], or a [[digital signal]] representing a sequence of binary digits, a [[bitstream]] from a computer.
This carrier wave usually has a much higher [[frequency]] than the message signal does. This is because it is impractical to transmit signals with low frequencies. Generally, to receive a [[radio wave]] one needs a [[
Another purpose of modulation is to transmit multiple [[Communication channel|channels]] of information through a single [[transmission medium|communication medium]], using [[frequency-division multiplexing]] (FDM). For example, in [[cable television]] (which uses FDM), many carrier signals, each modulated with a different [[television channel]], are transported through a single cable to customers. Since each carrier occupies a different frequency, the channels do not interfere with each other. At the destination end, the carrier signal is [[demodulation|demodulated]] to extract the information bearing modulation signal.
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<blockquote>'''A simple example:''' A telephone line is designed for transferring audible sounds, for example, tones, and not digital bits (zeros and ones). Computers may, however, communicate over a telephone line by means of modems, which are representing the digital bits by tones, called symbols. If there are four alternative symbols (corresponding to a musical instrument that can generate four different tones, one at a time), the first symbol may represent the bit sequence 00, the second 01, the third 10 and the fourth 11. If the modem plays a melody consisting of 1000 tones per second, the [[symbol rate]] is 1000 symbols/second, or 1000 [[baud]]. Since each tone (i.e., symbol) represents a message consisting of two digital bits in this example, the [[bit rate]] is twice the symbol rate, i.e. 2000 bits per second.</blockquote>
According to one definition of [[
===Fundamental digital modulation methods===
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In all of the above methods, each of these phases, frequencies or amplitudes are assigned a unique pattern of [[Binary numeral system|binary]] [[bit]]s. Usually, each phase, frequency or amplitude encodes an equal number of bits. This number of bits comprises the ''symbol'' that is represented by the particular phase, frequency or amplitude.
If the alphabet consists of <math>M = 2^N </math> alternative symbols, each symbol represents a message consisting of ''N'' bits. If the [[symbol rate]] (also known as the [[
For example, with an alphabet consisting of 16 alternative symbols, each symbol represents 4 bits. Thus, the data rate is four times the baud rate.
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# Adapt [[pulse shaping]] or some other filtering to limit the bandwidth and form the spectrum of the equivalent low pass signal, typically using digital signal processing.
# Perform digital to analog conversion (DAC) of the I and Q signals (since today all of the above is normally achieved using [[digital signal processing]], DSP).
# Generate a high-frequency sine carrier waveform, and perhaps also a cosine quadrature component. Carry out the modulation, for example by multiplying the sine and cosine waveform with the I and Q signals, resulting in the equivalent low pass signal being frequency shifted to the modulated [[passband signal]] or RF signal. Sometimes this is achieved using DSP technology, for example [[
# Amplification and analog bandpass filtering to avoid harmonic distortion and periodic spectrum.
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* [[Frequency-shift keying]] (FSK)
** [[Audio frequency-shift keying]] (AFSK)
** [[
** [[Dual-tone multi-frequency]] (DTMF)
* [[Amplitude-shift keying]] (ASK)
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** [[Continuous-phase frequency-shift keying]] (CPFSK)
* [[Orthogonal frequency-division multiplexing]] (OFDM) modulation
** [[
* [[Wavelet modulation]]
* [[Trellis coded modulation]] (TCM), also known as [[Trellis modulation]]
* [[
** [[Direct-sequence spread spectrum]] (DSSS)
** [[Chirp spread spectrum]] (CSS) according to IEEE 802.15.4a CSS uses pseudo-stochastic coding
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[[Minimum-shift keying|MSK]] and [[GMSK]] are particular cases of continuous phase modulation. Indeed, MSK is a particular case of the sub-family of CPM known as [[continuous-phase frequency-shift keying]] (CPFSK) which is defined by a rectangular frequency pulse (i.e. a linearly increasing phase pulse) of one-symbol-time duration (total response signaling).
[[
Of the two kinds of [[RF power amplifier]], [[switching amplifier]]s ([[Class D amplifier]]s) cost less and use less battery power than [[linear amplifier]]s of the same output power. However, they only work with relatively constant-amplitude-modulation signals such as angle modulation (FSK or PSK) and [[
===Automatic digital modulation recognition (ADMR)===
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Digital baseband modulation changes the characteristics of a baseband signal, i.e., one without a carrier at a higher frequency.
This can be used as equivalent signal to be later [[Frequency mixer|frequency-converted]] to a carrier frequency, or for direct communication in baseband. The latter methods both involve relatively simple [[line code]]s, as often used in local buses, and complicated baseband signalling schemes such as used in [[
==Pulse modulation methods==
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;Analog-over-digital methods
* [[Pulse-code modulation]] (PCM)
** [[
*** [[
* [[Delta modulation]] (DM or Δ-modulation)
** [[Delta-sigma modulation]] (ΣΔ)
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==Miscellaneous modulation techniques==
* The use of [[on-off keying]] to transmit [[Morse code]] at [[
* [[Adaptive modulation]]
* [[Space modulation]] is a method whereby signals are modulated within airspace such as that used in [[instrument landing system]]s.
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