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Data Network Rate


Background Information

The most basic digital voice signal is Digital Signal 0 or DS0. DS0 is a 64 Kbit/s (or 64,000 bit/s) "channel".

This DS0 digital voice signal is encoded using PCM (Pulse Code Modulation) and TDM (Time Division Multiplexing). All other classic copper signal hierarchies (PDH - Plesiochronous Digital Hierarchy e.g. T3) are defined as multiples of DS0.

Why 64K. Well... to digitize 'narrowband' speech (voice) you take a 4KHz spectrum (well actually 3.1K see notes below). Normal sampling techniques only give reasonable resolution if sampled at twice the frequency (which gives 2 x 4K(ish) = 8K samples per second). Each sample is 8 bits which gives 8K x 8 = 64K bits per second.

Notes:

  • K here is 1,000 not 1,024.
  • 'Narrowband' speech is from 0.3 to 3.4KHz. The newer 'wideband' speech (a.k.a. 'hi-fi speech') is proposed from 0.15 to 6.8KHz.
DesignationCovers
DSxNorth American Digital Signal Level x, e.g. DS1, DS2 etc.
TxNorth American Signal Hierarchy e.g. T1, T3 etc.
ExEuropean Signal Hierarchy e.g. E1, E3 etc.
Various Summary of North American (T-x), Euro (E-x) and Japanese signal hierarchy.
OCxOptical Carrier Hierarchy for SONET and SDH e.g. OC-1, OC-192 etc. Includes STS-x and STM-x definitions.


North American Digital Signal Hierarchy (T-Carrier)

The North American signal hierarchy was created by Bell Labs(AT&T) in the early 1960's and was the world's first digital voice system. It is based on multiples of the DS0 signal with a little bit of overhead.

Note: a DS0 is 64K or 64,000 bits per second.

The hierarchy defines the levels of multiplexing, i.e. the first level of the hierarchy multiplexes a number of DS0s into a single digital signal (with a DSx designator) which is then placed on a carrier (with a T-x designator).

Technically, DSx is the transmission protocol used over a physical T-x line; however, the terms "DSx" and "T-x" are often used interchangeably.

The DSx and T-x series specs are standardized by the ANSI accredited Committee T1 (T1E1) (now part of Alliance for Telecommunications Industry solutions - ATIS) which then represents (via the US State Department) the US at ITU standard sessions.

A DS1 circuit is made up of twenty-four 8-bit channels (also known as timeslots and DS0's), each channel being a 64 kbit/s DS0 multiplexed pseudo-circuit. A DS1 is also a full-duplex circuit, meaning, in theory, the circuit can send 1.544 Mbit/s and receive 1.544 Mbit/s concurrently.

A total of 1.536 Mbit/s of bandwidth is achieved by sampling each of the twenty-four 8-bit DS0's 8000 times per second. This sampling is referred to as 8-kHz sampling (see pulse-code modulation). An additional 8 kbit/s is obtained from the placement of a framing bit, for a total of 1.544 Mbit/s, calculated as follows:

Note: The calculation of DS2 and above is different from the DS1 calculation, you will need a copy of ANSI T1.107-2002 to see the details.

Hierarchy
Data Rate
Digital Signal
Carrier
DS0's
Notes
First Level
1.544 Mbit/s
DS1
T-1
24
In ISDN PRI = 23B (user) + 1D (signaling) channels
Intermediate Level
3.152 Mbit/s
DS1C
T1c
48
-
Second Level
6.312 Mbit/s
DS2
T-2
96
4 x DS1
Third Level
44.736 Mbit/s
DS3
T-3
672
28 x DS1
Intermediate Level
139.264 Mbit/s
DS4NA
?
2016
3 x DS3 Highest designed in ANSI T1.107
Fourth Level
274.176 Mbit/s
DS4
T-4
4032
Obsolete, not used in new systems, replaced with OCx
Fifth Level
400.352 Mbit/s
DS5
T-5
5760
Obsolete, not used in new systems, replaced with OCx

ITU/European Digital Signal Hierarchy (PDH)

European telecom standards are defined by CEPT. Here is the European hierarchy. They are also based on 64,000 bit/s DS0.

Hierarchy
Data Rate
Carrier
DS0's
Notes
 Standard
First Level
2.048 Mbit/s
E-1
32
In ISDN PRI = 30B (user) + 2D (signaling) channels
G.704/732
Second Level
8.448 Mbit/s
E-2
128
 G.742
Third Level
34.368 Mbit/s
E-3
512
 G.751
Fourth Level
139.264 Mbit/s
E-4
2048
 G.751
Fifth Level
565.148 Mbit/s
E-5
8192
 Obsolete, not used in new systems 

Summary Table

The following table summarizes a number of digital signal hierarchies currently in operation.

Data Rate
DS0's
North America
Europe
64 kbit/s
1
-
-
1.544 Mbit/s
24
T-1
-
2.048 Mbit/s
32
-
E-1
6.312 Mbit/s
96
T-2
-
7.786 Mbit/s
120
-
-
8.448 Mbit/s
128
-
E-2
32.064 Mbit/s
480
-
-
34.368 Mbit/s
512
-
E-3
44.736 Mbit/s
672
T-3
-
97.728 Mbit/s
1440
-
-
139.264 Mbit/s
2016
DS4NA
-
139.264 Mbit/s
2048
-
E-4
274.176 Mbit/s
4032
T-4
-
400.352 Mbit/s
5760
T-5
-
565.148 Mbit/s
8192
-
E-5

Notes: The data rates above T-3, E-3 etc are now obsolete and replaced by Optical Carriers (see reference below).


Optical Carriers

Optical transmission systems are known as SONET (Synchronous Optical NETwork) in North America and SDH (Synchronous Digital Hierarchy) in the rest of the World. Optical Carriers are typically known by their OC-x number where x is a multiple of the OC-1 rate of 51.84 Mbps. While there is a common world-wide standard for optical systems there are differences but they are accommodated within the standard. North America uses an STS-x format for frames (packets) and Europe an STM-x (Synchronous Transport Module) format.

Optical Signal Hierarchy

Hierarchy
Data Rate
SONET
SDH
OCx
Level Zero
155.52 Mbit/s
STS-3
STM-1
OC-3
Level One
622.08 Mbit/s
STS-12
STM-4
OC-12
Level Two
2488.32 Mbit/s
STS-48
STM-16
OC-48
Level Three
9953.28 Mbit/s
STS-192
STM-64
OC-192

Optical Carrier Rates

Optical Carrier
Data Rate
Payload - SONET (SPE)
User Data Rate
SONET
SDH
OC-1
51.84 Mbit/s
50.112 Mbit/s
49.536 Mbit/s
STS-1
STM-0
OC-3
155.52 Mbit/s
150.336 Mbit/s
148.608 Mbit/s
STS-3
STM-1
OC-9
466.56 Mbit/s
451.044 Mbit/s
445.824 Mbit/s
STS-9
STM-3
OC-12
622.08 Mbit/s
601.344 Mbit/s
594.824 Mbit/s
STS-12
STM-4
OC-18
933.12 Mbit/s
902.088 Mbit/s
891.648 Mbit/s
STS-18
STM-6
OC-24
1244.16 Mbit/s
1202.784 Mbit/s
1188.864 Mbit/s
STS-24
STM-8
OC-36
1866.24 Mbit/s
1804.176 Mbit/s
1783.296 Mbit/s
STS-36
STM-12
OC-48
2488.32 Mbit/s
2405.376 Mbit/s
2377.728 Mbit/s
STS-48
STM-16

 OC-96

 4976.64 Mbit/s

 4810.752 Mbit/s

 

STS-96 

STM-32

OC-192
9953.28 Mbit/s
9621.504 Mbit/s
9510.9121 Mbit/s
STS-192
STS-64
OC-768
39813.12 Mbit/s
38486.016 Mbit/s
-
STS-768
STM-256

 OC-1536

 79626.12 Mbit/s

 76972.032 Mbit/s

-

STS-1536

STM-512

OC-3072
159252.24 Mbit/s
153944.064 Mbit/s
-
STS-3072
STM-1024

Notes:

  1. SPE (Synchronous Payload Envelope) = AU (Administrative Unit)

Tributaries and Virtual Containers

SDH/SONET defines a way or packaging capacity into Virtual Containers (VCs) which may be Higher Order Virtual Container (HVC) or Lower Order Virtual Containers (LVC). The term Tributary Unit (TU - used in RoW) or Virtual Tributary (VT - North America) describes a method of mapping PDH (e.g. T1) carriers onto SDH/SONET.

SONET
SDH
Name
Data Rate
Name
Data Rate
VT-1.5
1.728 Mbit/s
VC-11
1.728 Mbit/s
VT-2
2.304 Mbit/s
VC-12
2.304 Mbit/s
VT-3
3.456 Mbit/s
-
-
VT-6
6.912 Mbit/s
VC-2
6.912 Mbit/s
STS-1
50.112 Mbit/s
VC-3
48.960 Mbit/s
STS-3
150.336 Mbit/s
VC-4
150.336 Mbit/s

NameVersionSizeDateUser
DS1-DS0-calculation.png138064/15/07 5:54 PMpeibing



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Last Modified 4/16/07 12:57 PM
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