Today’s lection is devoted to basics of ADSL.
ADSL is the most popular technology among all
xDSL technologies. The main reason of such popularity of this technology is its
asymmetric property, that is downstream rate is significantly more than
upstream rate. And this asymmetrical property is corresponding to the
asymmetrical nature of Internet traffic, because quantity of data for request
is much less than quantity of downloaded data.
There are several types of ADSL technology
given in the table.
Types of ADSL technology
|
ITU-T Recommendation
|
Maximum data rate (DS/US), kbit/s
|
Maximum frequency Fmax
|
Maximum
number of carrier (subcarrier) Ncar
|
ADSL
|
G.992.1
|
6144 / 640
|
1104
|
256
|
ADSL G.Lite
|
G.992.2
|
1536 / 512
|
552
|
128
|
ADSL2
|
G.992.3
|
8000 / 800
|
1104
|
256
|
Splitterless ADSL2
|
G.992.4
|
1536 / 512
|
552
|
128
|
ADSL2+
|
G.992.5
|
16000 / 800
|
2208
|
512
|
As seen from this table, there are
256 carries in ADSL signal and last carrier corresponds to frequency 1104 kHz.
Thus frequency spacing between adjacent carriers is equal to Fmax / Ncar = 1104
/ 256 = 4,3125 kHz. For another types of ADSL technology the frequency spacing
is the same: 552 / 128 = 2208 / 512 = 4,3125 kHz.
I am reminding you that the DMT
modulation is used in all types of ADSL technology. And now I’ll explain you
what is sense of DMT modulation. I’ll draw the simple scheme of DMT modulation.
The bit stream, intended for transmission, come
in serial / parallel convertor, where this bit stream is divided to several bit
streams with lower bit rate. And then each of these bit streams modulates certain
carrier ‑ f1, f2, …, or fn. And at last
signals on these carriers are summed and come in to channel.
The equation for DMT signal for one clock
period is next:
where l
– number of carrier, al and
bl are information
parameters, mapped from transmitted on l-th
carrier bits, w0 is cyclic
frequency of first carrier, w0 = 2pf0,
f0 = 1/t0, where t0 – duration of orthogonality interval.
Note. Two signals S1(t) and S2(t) are orthogonal if
Duration of clock period T is set more than duration of orthogonality
interval: T > t0. And difference between T and t0 is equal to guard interval tg: T > t0 = tg. Guard interval is used for mitigate interference
between signals from different clock periods and different carriers.
For each concrete carrier, DMT modulation is the
same as QAM.
The superframe for ADSL consists of 69 frames,
one of them is synchronization frame and last of them are data frames. The
duration of superframe is 17 ms. Thus duration of one frame is 17/69 ms » 0,246 ms. And frequency of frames is equal to
69/ (17 ms) » 4,059 kHz. Frequency of information
frames differs from frequency of data frames and equal to 68 / (17 ms) = 4 kHz.
In ADSL system the duration of guard interval is equal to 1/16 of orthogonality
interval duration, thus carrier spacing is equal to 69/ (17 ms) × 17 / 16 = 4,3125 kHz.