Amplitude-shift keying (ASK) is a form of amplitude modulation
that represents digital data
as variations in the amplitude
of a carrier wave
In an ASK system, a symbol
, representing one or more bits
, is sent by transmitting a fixed-amplitude carrier wave at a fixed frequency for a specific time duration. For example, if each symbol represents a single bit, then the carrier signal will be transmitted when the input value is 1, but will not be transmitted when the input value is 0.
Any digital modulation scheme uses a finite
number of distinct signals to represent digital data. ASK uses a finite number of amplitudes, each assigned a unique pattern of binary digit
s. Usually, each amplitude encodes an equal number of bits. Each pattern of bits forms the symbol
that is represented by the particular amplitude. The demodulator
, which is designed specifically for the symbol-set used by the modulator, determines the amplitude of the received signal and maps it back to the symbol it represents, thus recovering the original data. Frequency
of the carrier are kept constant.
, an ASK is also linear and sensitive to atmospheric noise, distortions, propagation conditions on different routes in PSTN
, etc. Both ASK modulation and demodulation processes are relatively inexpensive. The ASK technique is also commonly used to transmit digital data
over optical fiber. For LED transmitters, binary 1 is represented by a short pulse of light and binary 0 by the absence of light. Laser transmitters normally have a fixed "bias" current that causes the device to emit a low light level. This low level represents binary 0, while a higher-amplitude lightwave represents binary 1.
The simplest and most common form of ASK operates as a switch, using the presence of a carrier wave to indicate a binary one and its absence to indicate a binary zero. This type of modulation is called on-off keying
(OOK), and is used at radio frequencies to transmit Morse code (referred to as continuous wave operation),
More sophisticated encoding schemes have been developed which represent data in groups using additional amplitude levels. For instance, a four-level encoding scheme can represent two bits with each shift in amplitude; an eight-level scheme can represent three bits; and so on. These forms of amplitude-shift keying require a high signal-to-noise ratio for their recovery, as by their nature much of the signal is transmitted at reduced power.
ASK system can be divided into three blocks. The first one represents the transmitter, the second one is a linear model of the effects of the channel, the third one shows the structure of the receiver. The following notation is used:
''(f) is the carrier signal for the transmission
''(f) is the impulse response of the channel
*''n''(t) is the noise introduced by the channel
''(f) is the filter at the receiver
*''L'' is the number of levels that are used for transmission
is the time between the generation of two symbols
Different symbols are represented with different voltages. If the maximum allowed value for the voltage is A, then all the possible values are in the range ˆ’A, A
and they are given by:
the difference between one voltage and the other is:
Considering the picture, the symbols v
are generated randomly by the source S, then the impulse generator creates impulses with an area of v
These impulses are sent to the filter ht to be sent through the channel. In other words, for each symbol a different carrier wave is sent with the relative amplitude.
Out of the transmitter, the signal s(t) can be expressed in the form:
In the receiver, after the filtering through hr (t) the signal is:
where we use the notation:
where * indicates the convolution between two signals. After the A/D conversion the signal z
can be expressed in the form: