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    PULSE CODE MODULATION (PCM)

    DEFINITION: Pulse code modulation (PCM) is essentially analog-to-digital conversion of a special type where the information

    contained in the instantaneous samples of an analog signal isrepresented by digital words in a serial bit stream.

    Basic Steps For PCM System

    Limiter

    Filtering Sampling

    Quantization

    Encoding

    Line Coding

    FILTERING Filters are used to limit the speech signal to the

    frequency band 300-3400 Hz.

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    Analog to Digital Conversion

    TheAnalog-to-digital Converter (ADC)performs three functions:

    Sampling Makes the signal discrete in time. If the analog input has a bandwidth

    of W Hz, then the minimum samplefrequencysuch that the signal canbe reconstructed without distortion.

    Quantization Makes the signal discrete in

    amplitude.

    Round off to one of qdiscrete levels.

    Encode Maps the quantized values to digitalwords that are 8 bits long.

    If the (Nyquist) Sampling Theoremissatisfied, then only quantization introducesdistortion to the system.

    ADC

    Sample

    Quantize

    AnalogInput

    Signal

    Encode

    111

    110

    101

    100

    011

    010

    001

    000

    Digital Output

    Signal

    111 111 001 010 011 111 011

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    4

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    SAMPLING PROCESS

    5

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    4.3 Sampling Theorem

    X

    Digital signal

    s(t)

    ms(t)m(t)

    m(t)

    t

    ms(t)

    t

    s(t)

    t

    Ts

    Sampling theorem states that :"If a band limited

    signal is sampled at regular intervals of time and

    at a rate equal to or more than twice the highest

    signal frequency in the band, then the sample

    contains all the information of the original

    signal."

    fS 2fm

    Fourier series for impulse train :

    6

    S(t) =TS+2TS(Cos 2(tTS)+ Cos 2x2(tTS+.)

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    SAMPLING & COMBINING CHANNELS

    7

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    PAM OUTPUT SIGNALS

    8

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    RECONSTRUCTION OF ORIGINAL SIGNAL

    9

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    f

    3f2s 2fs3fsfs0

    fs-fm fs+fm 2fs+fm3fs+fm3fs-fm2fs-fm

    ms(f)Spectrum of the sampled signal

    The spectrum of the sampled signal has sidebandsfsf

    m, 2f

    sf

    m, 3f

    sf

    m and so

    on.

    10

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    The choice of sampling frequency,fsmust follow the sampling theorem to overcome

    the problem of aliasing and loss of information

    (a) Sampling frequency=> fs1< 2fm (max)

    f2fs1 3fs1fs1fm

    Aliasingms(f)

    (b) Sampling frequency=> fs2> 2fm (max)

    f

    2fs2 3fs2fs2fm

    ms(f)

    Shannon sampling

    theorem=> fs2fm

    Nyquist f requency

    fs= 2fm= fN

    A bandlimited signal thathas a maximum

    frequency, fmaxcan be

    regenerated fr om the

    sampled signal i f i t is

    sampled at a rate of at

    least 2fmax .

    11

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    Pulse Code Modulation (PCM)

    Codectechnique

    Voice Bandwidth =

    300 Hz to 3400 Hz

    Sampling StageAnalog Audio Source

    = Sample

    8 kHz (8,000 Samples/Sec)

    Nyquists Theoremsays

    sample at twice the bandwidth of

    the line.

    Voice bandwidth ~ 3400 Hz.

    So, must sampling rate should be

    6800 samples/sec.

    PCM actually uses 8000

    samples/sec since cutoff not

    sharp.

    Height of sampled signal above /

    below the base line is converted

    to a binary value 12

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    4.4 Detection of Sampled Signal

    By using LPF to the sampled signal, ms(t)

    LPFms(t) m(t)

    Cut-off frequency , fofor LPF must be within the range: fm fo fs - fm

    Eventhough the sampled signal can be detected easily at fs= 2fm , but usuall y

    fs> 2fm. The main reason is to have a guardband .

    Therefore, the maximum frequency that can be processed by the sampled

    data using sampling frequency, fs (without aliasing) is:

    => fm= fs/ 2 = 1 / 2Ts

    13

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    4.3.1 Difference in Sampling Methods

    In every sampling methods, the pulse amplitude is directly proportional to the

    amplitude of the information signal

    Practically, an ideal sampling is difficult to generate

    However, by using an ideal and natural sampling, noise can be eliminated, which

    is not the case for flat-top sampling

    I deal Sampling F lat-top Sampli ng

    ms(t)

    t

    Natural Sampli ng

    14

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    Natural Sampling Flat-top Sampling

    Information signal

    Pulse signal

    Sampled signal (PAM)

    t

    m(t)

    t

    s(t)

    Ts

    t

    ms(t)

    Ts

    t

    ms(t)

    Ts

    15

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    16

    PULSE AMPLITUDE MODULATED SIGNAL

    NATURAL TOP

    SAMPLING

    CLOCK

    The FET is the switch used as a sampling gate.

    When the FET is on, the analog voltage is shorted to ground; when off,the FET is essentially open, so that the analog signal sample appears at

    the output.

    Op-amp 1 is a noninverting amplifier that isolates the analog input

    channel from the switching function.

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    17

    FLAT-TOP SAMPLING

    SAMPLED & HOLD CIRCUIT

    HIGH FANOUT

    OP

    AMP-2

    clock

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    As seen in Figure, the instantaneous amplitude

    of the analog (voice) signal is held as a constant

    charge on a capacitor for the duration of the

    sampling period Ts.

    Op-amp 2 is a high input-impedance voltagefollower capable of driving low-impedance loads

    (high fanout).

    The resistor Ris used to limit the output current

    of op-amp 1 when the FET is on and provides

    a voltage division with rdof the FET. (rd, the

    drain-to-source resistance, is low but not zero)

    sample-and-hold circuit.

    Q ti ti

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    Eeng 360 19

    Quantization

    The output of a sampler is still continuous in amplitude.

    Each sample can take on any value e.g. 3.752, 0.001, etc.The number of possible values is infinite.

    To transmit as a digital signal we must restrict the number of

    possible values.

    Quantizationis the process of rounding off a sample according to

    some rule.

    E.g. suppose we must round to the nearest tenth, then:

    3.752 --> 3.8 0.001 --> 0

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    QUANTIZING-POSITIVE SIGNAL

    20

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    QUANTIZING - SIGNAL WITH + Ve & - Ve VALUES

    21

    3 t th t l d i th ti ti

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    Quantization Interval

    Represent the voltage value for each quantized level

    For example: For a sampled signal that has 5V amplitude, Vpp

    = 10 V divide by the quantized level, L = 8 level,

    Therefore, quantized interval , qi=10V/8=1.25V

    Quantization level, L = 2n

    Quantization level depends on the number of binary bits, nused to represent each sample.

    For example:For= 3; Quantization level, L = 23 = 8 level.

    In this example, first level (level 0) is represented by 000,whereas bit 111 represents the eigth level

    3 terms that are commonly used in the quantization

    process:

    22

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    Quantization value, Vk

    The middle voltage for each quantized level

    For example: for n = 3, quantized level, L = 8 and a sampled

    sinusoidal signal with +5 V ,

    The middle quantized value for level 0,

    V = - 5V+(1.25V2) = - 4.375V

    In this example, for a sample that is in level 0 segment will

    be represented by bit 000 with a voltage value of4.375 V.The difference between the sampled value and the

    quantized value results in quantization noise.

    23

    For voice communication 256 levels are commonly

    used (i.e n = 8)

    Quantization

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    Quantization

    1. Quantizing operation approximatesthe analog

    values by using a finite number of levels. Thisoperation is considered in 3 steps

    a) Uniform Quantizer

    b) Quantization Errorc) Quantized PAM signal output

    2. PCM signal is obtained from the quantized PAM

    signal by encoding each quantized sample valueinto a digital word.

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    Uniform Quantization

    Most ADCs use uniform

    quantizers. The quantization levels of a

    uniform quantizer are

    equally spaced apart.

    Uniform quantizers are

    optimal when the input

    distribution is uniform.

    When all values within theDynamic Rangeof the

    quantizer are equally likely.

    Input sample X

    Example: Uniform 3 bit quantizer

    q=8 and XQ= {1,3,5,7}

    2 4 6 8

    1

    5

    3

    Output sample

    XQ

    -2-4-6-8

    Dynamic Range:

    (-8, 8)

    7

    -7

    -3

    -5

    -1

    Quantization Characteristic

    UNIFORM QUANTIZATION

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    t

    Level 0 : 000

    Level 1 : 001

    Level 2 : 010

    Level 3 : 011

    Level 4 : 100

    Level 5 : 101

    Level 6 : 110

    Leve l 7 : 111

    1.9V

    +5.0V

    -5.0V

    4.375V

    3.125V

    1.875V

    0.625V

    -0.625V

    -1.875V

    -3.125V

    -4.375V

    4.3V

    1.9V

    -3.2V

    -4.5V

    Quantization level &

    binary representationQuantized

    value

    Sampled signal

    UNIFORM QUANTIZATION

    Uniform quantization is a quantization process with a uniform (fixed) quantization

    interval.

    Example : n = 3 , L = 8 , signal +5 V ; => Vk= 1.25 V . Bit rate: b = n s

    26

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    Quantization error

    30

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    Input voltage range:14 mV to

    +14 mV

    Binary

    number

    Input voltage

    range (mV)

    1 11 10 to 141 10 6 to 10

    1 01 2 to 6

    1 00 0 to 2

    0 00 -2 to 0

    0 01 -6 to -2

    0 10 -10 to -6

    0 11 -14 to -10

    Example : Uniform Quantization error

    Qn= LSB voltage /2 = qi /2

    14 mV = 28 mV with 8 steps and 8 codes.

    Therefore Qn= 28/8 = 3.5 mV.

    Therefore : Qn= 3.5 mV / 2 = 1.75 mV

    SNRq= [1.76 + 6.02n] dB

    Noise from quantization error

    can be reduced by increasingthe quantization level i.e

    increase n.

    31

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    Companding

    32

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    Pulse Code Modulation - Analog to Digital Conversion

    Stage 1

    Quantizing Stage

    Output

    100100111011001

    A-Law (Europe)

    -Law (USAJapan)33

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    2 Popular companding system (standardized by ITU)

    EUROPE => A - Law

    USA/NORTH AMERICA => - Law

    Axfor

    xA

    for

    A

    AxA

    Ax

    y1

    0

    11

    log1

    log1

    )log(1

    A- compressor paramater. Usually the

    value ofAis 87.6.

    34

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    USA/NORTH AMERICA => - Law

    Law is a standard compress-

    expand that is used in America and

    Japan. The value of used is 255 (8

    bit).

    1log

    )1log( xy

    (max)i

    i

    E

    E

    x (max)o

    o

    E

    E

    y

    For both laws, the values of xand y

    refers to the equation below:

    35

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    E1 CAS T i i F t

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    ITU-T Rec. G.704

    E1 CAS Transmission Format

    Time Slot 16 : Frames 2 through 15 are the same as frame 1

    Time Slot 0: Even number frames 2 through 14 are the same as frame 0

    Time Slot 0: Odd number frames 3 through 15 are the same as frame 1

    1 = bit set to 1 0 = bit set to 0

    1/0 = speech / signalling (varying data) X = unassigned bit (normally set to 1)

    Fr. Ch. Ch.

    1 1 162 2 17

    3 3 18

    : : :

    15 15 30

    10 2 3 4 5 6 7 8 9 10 11 12 13 14 15Multiframe (16 frames)

    Frame 0 (32 Time Slots)

    10 2 3 4 5 6 7 8 9101112131415 1716 1819202122232425262728293031

    Frame 1 (32 Time Slots)

    10 2 3 4 5 6 7 8 9101112131415 1716 1819202122232425262728293031

    Time Slot 0

    (8 bits)

    0X 0 1 1 0 1 11

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    Time Slot 1

    Speech (Ch. 1)

    Time Slot 16

    (8 bits)

    00 0 0 X 0 X X

    Time Slot 0

    (8 bits)

    1X 0 X X X X X

    Time Slot 16

    Signalling Bits1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    Speech

    Ch. 1-15

    Speech

    Ch. 16-30

    Speech

    Ch. 1-15Speech

    Ch. 16-30

    Frame

    Time Slot

    Frame

    Alignment

    Word

    Multi-

    Frame

    Alignment

    Word

    Changes to 1 on

    loss of distant

    multiframe

    Changes to 1 on

    loss of distant frame

    (remote alarm)Not-Frame

    alignment word

    A B C D A B C D

    LSB

    E1 CAS T i i F t

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    Applying this framing method to the Omniplexer.

    TS 0 is used for framing and alarm information

    TS 16 contains the voice signalling bits:

    the A bit is used for the call status indication.

    the B bit is used as a busy indication.

    bit C & D are not used in most voice applications.

    The Omniplexer assigns channel numbers 1 to 30, for usable transmission.

    ITU-T G.704 (32 Time Slots)

    10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22 23 24 25 26 27 28 29 30 31

    Omniplexer - 30 Channel Assignments

    1- 2 3 4 5 6 7 8 9 101112 13 14 15 16- 17 18 19 20 21 22 23 24 25 26 27 28 29 30

    E1 CAS Transmission Format

    E1 CCS T i i F t

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    E1 CCS Transmission Format

    Applying this framing method to the OMNIBranch and OMNIFlex.

    TS 0 is used for framing and alarm information

    The OMNIBranch assigns channel numbers 1 to 31, for usable transmission.

    CCITT G.704 (32 Time Slots)

    10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22 23 24 25 26 27 28 29 30 31

    OMNIBranch / OMNIFlex - 31 Time Slot Assignments

    1- 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1716 18 19 20 21 22 23 24 25 26 27 28 29 30 31

    Frame (32 Time Slots)

    10 2 3 4 5 6 7 8 9 101112131415 1716 1819202122232425262728293031

    Speech

    Ch. 1-31

    Time Slot

    Time Slot 0

    (8 bits)

    0X 0 1 1 0 1 1

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    1

    0

    Time Slot 1

    Speech (Ch. 1)

    Frame

    Alignment

    Word

    ITU-T Rec. G.704

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    Example : PCM TDM CEPT System

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    Example : PCM-TDM CEPT SystemFrame structure and Timing : European standard PCM system : E Line

    (a) bits per time slot (b) time slots per frame (c) frames per multiframe

    488 ns

    3.9 s

    3.9 s

    125 s

    125 s

    2 ms

    8 bits pertime slot

    Bit duration

    30 signal + 2 control = 32 channels = 1 frame

    Signalling & synchronization

    16 frames = 1 multiframeDuration of multiframe

    41

    PCM30 basic frame

    PDH E1 signal

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    1 2 3 4 5 6 7 8

    X 1 Y Y Y 1 1 1

    Bit No.

    Value

    Message

    ca. 3,9 s1 2 3 4 5 6 7 8

    Bit numbering

    32 x 8 = 256 bit

    125 s

    t

    voice1 voice2 voice15 voice16 voice30

    0 1 2 15 16 17 31

    SIG

    1 2 3 4 5 6 7 8

    0 0 1 1 0 1 1

    Bit No.

    value

    Frame alignment

    X

    g

    42

    Bit 1 X Used in international connections

    Bit 3 Y=1 FRAME SYNCHRONISATION

    Bit 4 Y=1 HIGH ERROR DENSITY

    Bit 3,4,5 111 Urgent alarm

    Bit 6-8 111 Reserved for national options

    Bit 1, X Used in

    international

    connections,

    FAW :-0011011

    PCM32 channels (30 signals + 2 control)

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    Frame structure and timing

    Number of channel = 32

    Number of bits in one time slot = 8

    32 channels = 1 frame

    Number of bits in a frame = 32 x 8 = 256 bits

    ( g )

    This frame must be transmitted within the sampling period and thus 8

    x 103frames are transmitted per second.

    Therefore :

    Transmission rate = 8 x 103x 256 = 2.048 Mb/s

    Bit duration = 1 / 2.048 x 106= 488 ns

    Duration of a time slot = 8 x 488 ns = 3.9

    s

    Duration of a frame = 32 x 3.9 s = 125 s => (= 1 / 8 kHz = 125 s)

    Duration of a multi frame = 16 x 125 s = 2 ms

    43

    Bit rate for PCM & Higher Order Mux

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    Europe bit rate(Mb/s)

    2.048

    8.448

    34.368

    139.264

    565.148

    Telephone

    channel

    30

    120

    480

    1920

    7680

    SDH 2.5Gb/s

    Telephone

    channel

    North America bit

    rate(Mb/s)

    24 1.544

    48 3.152

    96 6.321

    672 44.736

    4032 274.176

    European standard : A-Law

    30 + 2 control channel = 32

    Bit rate= 32 x 8 bit/sample x 8000 sample/s

    = 2.048 Mb/s

    North American standard (NAS) :-Law

    For every 24 sample, 1 bit is added for

    synchronization

    For 24 sample => 24 x 8 bit/sample + 1 bit

    = 193 bits

    Bit rate= 193 x 8000 = 1.544 Mb/s

    Needs MultiplexingProcess of transmitting two or more

    signals simultaneously44

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    LINE CODE

    AMI CODE SPECTRUM

    45

    LINE CODE

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    LINE CODE30 CHL PCM HDB-3 (HIGH-DENSITY BIPLOAR code)

    Number of' 1 's preceding

    violation is ODD

    46

    Number of' 1 's precedingviolation is EVEN

    Number of ' 1 ' since

    last ViolationPolarity of

    preceding'1'

    Odd Even

    Negative 000 V- B+OOV+

    Positive 000 V + B-00 V-

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    30 CHL PCM SYSTEM ITI/SHYAM

    DC-DC CONVERTER . CONTROL CARD

    10 NO OF SIGNALLING CARD . TP CARD

    SIGNALLING MDX . VOICE OR DATA CARD (5 NO.)47

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    4W DATA/SPEECH CARD

    4W SPEECH

    4W DATA CARD(64Kb/S)

    Attenuator 0.5,1,2,4dB

    48

    PCM Transmission System

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    PCM Transmission System

    Th d t f PCM

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    The advantages of PCM are:

    Relatively inexpensive digital circuitry may be used

    extensively. PCM signals derived from all types of analog sources

    may be merged with data signals and transmitted overa common high-speed digital communication system.

    In long-distance digital telephone systems requiringrepeaters, a clean PCM waveform can be regeneratedat the output of each repeater, where the input consistsof a noisy PCM waveform.

    The noise performance of a digital system can besuperior to that of an analog system.

    The probability of error for the system output can bereduced even further by the use of appropriate codingtechniques.

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    DIGITAL MULTIPLEXING

    PDH E1 signal

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    European digital signal 1

    PCM30 (Pulse Code Modulation, 30 voice channels)

    G.703, G.704, G.732 (ITU recommendations)PDH basic system (Plesiochronous Digital Hierarchy)

    Features

    Time multiplex

    Bit rate 2.048 Mbit/s 50 PPM32 channels with 64 kbit/s each

    30 voice channels, 1 synchronization/message, 1 signalling

    75 coax or 120 symmetrical twisted pair

    Rectangular pulses, HDB3 line coding

    52

    Bit rate for PCM & Higher Order Mux

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    Europe bit rate(Mb/s)

    2.048

    8.448

    34.368

    139.264

    565.148

    Telephone

    channel

    30

    120

    480

    1920

    7680

    SDH 2.5Gb/s

    Telephone

    channel

    North America bit

    rate(Mb/s)

    24 1.544

    48 3.152

    96 6.321

    672 44.736

    4032 274.176

    European standard : A-Law

    30 + 2 control channel = 32

    Bit rate= 32 x 8 bit/sample x 8000 sample/s

    = 2.048 Mb/s

    North American standard (NAS) :-Law

    For every 24 sample, 1 bit is added for

    synchronization

    For 24 sample => 24 x 8 bit/sample + 1 bit

    = 193 bits

    Bit rate= 193 x 8000 = 1.544 Mb/s

    Needs MultiplexingProcess of transmitting two or more

    signals simultaneously

    53

    /

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    DIGITAL HIERARCHIES BASED ON THE 1544 KBIT/S PCM PRIMARY MULTIPLEX

    EQUIPMENT(BELL LAB 1968)

    Level in

    hierarchy

    Bit rate Trans. line

    First level 1544 kbit/s T1

    Second level 6312 kbit/s T2

    Third level 46304 kbit/s L5 (Jumbo Grp)

    Fourth level 280000 kbit/s WT4 (Wave guide)

    Fifth level 568000 kbit/s T5

    PLESIOCHRONOUS DIGITAL HIERARCHY

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    PLESIOCHRONOUS DIGITAL HIERARCHY

    (PDH)

    2/25/2014 55

    PDH Hierarchy

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    (E5)

    564.992

    Mbit/s

    E1

    2.048 Mbit/s

    DSMX

    64k/2M

    MStD

    PCM

    DIV

    LE2

    E2

    8.448 Mbit/s

    E22/8

    E3

    34.368 Mbit/s

    E3

    8/34

    E4

    139.264 Mbit/s

    E4

    34/140

    56

    E5

    140/565

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    Specification at Output Port

    E1 E2 E3 E4 E5

    Bit rate in Mbit/s 2.048 8.448 34.368 139.264 565.992

    Clock tolerance 50PPM

    30

    PPM

    20

    PPM

    15

    PPM

    5 PPM

    Frame length in

    bits/Time in s

    256bit

    125s

    848bit/

    100.38

    1536bit/

    22.375

    1928bit/

    21.024

    Stuffing rate per

    frame

    0.42 0.4357 0.4192

    Impedance in 120 75 75 75 75

    Line code HDB

    3

    HDB3 HDB3/

    CMI

    CMI

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    SIGNAL :-

    PLESIOCHRONOUS SIGNAL

    SIGNALS WHOSE CLOCK CAN VARRY

    INDEPENDENT OF ONE ANOTHER BUT THE

    RANGE OF SIGNAL VARIATION IS RESTRICTED

    WITHIN CERTAIN LIMITS.

    Synchronous Signal

    Asynchronous Signal

    MULTIPLEXING OF SYNCHRONOUS DIGITAL

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    MULTIPLEXING OF SYNCHRONOUS DIGITAL

    SIGNALS

    Block interleaving :

    Bunch of information taken at a time from eachtributary and fed to main multiplex output

    stream. The memory required will be verylarge.

    Bit interleaving :

    A bit of information taken at time from eachtributary and fed to main multiplex outputstream in cyclic order, a very small memoryis required.

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    Justification

    In general, incoming tributaries have

    independent clocks. In that case, it is

    inevitable that clock rate of a tributary and the

    (divided) clock rate of the multiplexer (insecond order TDM, it is 8448/4 = 2112 KHz)

    are not the same. Without any precautions,

    the result will be Slip.

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    The Frame Alignment Princip le

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    Justification

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    Justification

    MULTIPLEXING OF ASYNCHRONOUS

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    MULTIPLEXING OF ASYNCHRONOUS

    SIGNAL

    Positive justification :Common synchronization bitrate offered at each tributary is higher than the bitrate of individual tributary.

    Positive-negative justification : Commonsynchronization bit rate offers is equal to thenominal value.

    Negative justification :Common synchronizationbit rate offered is less than the nominal value.

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    Incoming Bit Rate Too High

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    Incoming Bit Rate Too Low

    Multiplexing 4 E1 signalsPDH E2 signal

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    E2: 8,448 Mbit/s 30 ppm

    >

    E1: 2,048 Mbit/s 50 ppm

    E1: 2,048 Mbit/s 50 ppm

    E1: 2,048 Mbit/s 50 ppm

    E1: 2,048 Mbit/s 50 ppm

    67

    Positive justificationPDH E2 signal

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    t

    2 3 4 5 6 7 8 9 10

    2 3 4 5 6 7 8 9 10 11S

    Suppressing reading clock

    Insert stuffing bit

    111

    fwrite

    1

    fread

    68

    Frame structurePDH E2 signal8Mb FRAME STRUCTURE

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    Block 1

    200 info bits

    Block 2

    208 info bits

    Block 3

    208 info bits

    Block 4

    204-208 info bits

    1..12

    848 bit

    100,38 s

    13..212 5..212 5..212 9..212

    U N

    AlarmsFrame alignment pattern

    0 01 0 0 01111

    1 2 3 4 1 2 3 4 5 6 7 81 2 3 4

    Justification control bits1 bit per channel and frame

    (transmitted 3 times)

    0=no stuffing; 1=stuffing

    Justification bits1 bit per ch. and frame

    no stuffing: information

    stuffing: fixed value

    69

    8 b S UC U

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    Frame Alignment

    Bunched words (first 10 bits in second order

    multiplex frame) is preferred to distributed

    bits to prevent imitation by any other bit

    sequence. The sequence used in Second and Third Order

    MUX is 1111010000.

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    Four bit stream of 2048 Kb/s are multiplexed. The resulting bit

    stream of 8448 Kb/s can be thought of being composed asfollows :- Per tributary=84484=2112Kb/s

    No of frame per second =8448kb/s848=996210000

    Nominal bit rate : 2048 Kb/s

    Frame alignment information Per tributary: 30 Kb/s

    Justification control digits : 30 Kb/s

    Sub total : 2108 Kb/s

    Justification digits : 2112-2108= 4 Kb/s used toallow over speed

    Justification rate per frame and E1 signal 0.42 bit

    Frame structurePDH E3 signal

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    Block 1

    372 info bits

    Block 2

    380 info bits

    Block 3

    380 info bits

    Block 4

    376-380 info bits

    1..12

    1536 bit

    44,6927 s

    13..384 5..384 5..384 9..384

    U N

    AlarmsFrame alignment pattern

    0 01 0 0 01111

    1 2 3 4 1 2 3 4 5 6 7 81 2 3 4

    Justification control bits1 bit per channel and frame

    (transmitted 3 times)

    0=no stuffing; 1=stuffing

    Justification bits1 bit per ch. and frame

    no stuffing: information

    stuffing: fixed value

    72

    PDH E3 signal

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    2nd multiplex level of PDH

    Multiplexing of four E2 tributariesFeatures

    Bit rate 34,368 Mbit/s 20 ppm.

    Frame duration 44,6927 sFrame frequency 22,375 kHz

    Bits per frame 1536

    Bit interleaved multiplexing of 4 E2 signals

    1 justification bit per frame and E2 signal

    3 justification control bits per frame and E2 signal

    Justification rate per frame and E2 signal 0,4357 bit

    73

    Frame structurePDH E4 signal

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    Block 1

    472 info bits

    Block 2, 3, 4, 5

    je 484 info bits

    Block 6

    480 - 484 info bits

    1..16

    2928 bit

    21,024 s

    17..488 5..488 9..488

    Alarms

    D N

    Frame alignment pattern

    0 01 0 0 01111 1 0 Y1Y2

    Data communication channel

    1 2 3 4 1 2 3 4 5 6 7 8

    Justification control bits1 bit per channel and frame

    (transmitted 5 times)

    0=no stuffing; 1=stuffing

    Justification bits1 bit per ch. and frame

    no stuffing: information

    stuffing: fixed value

    74

    PDH E4 signal

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    3rd multiplex level of PDH

    Multiplexing of four E3 tributaries

    Features

    Bit rate 139,264 Mbit/s 15 ppm

    Frame duration 21,024 s

    Frame frequency 47,564 kHz

    Bits per frame 2928

    Bit interleaved multiplexing of 4 E3 signals

    1 justification bit per frame and E3 signal

    3 justification control bits per frame and E3 signal

    Justification rate per frame and E3 signal 0,41912 bit

    75

    Specification at Output Port (PCM)

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    p p ( )

    Pair(s) in each direction One Coaxial

    Pair

    One Symmetrical

    Pair

    Test Load Impedance 75 ohm 120 ohm

    (rest.)

    Nom inal peak vo ltage of a

    mark

    2.37 V 3 V

    Peak vo ltage o f a space 0+0.237 V 0+0.3 V

    Nom inal pulse width 244 ns 244ns

    Ratio of ampli tude of +ve and

    ve pu lses at the centre of

    pu lse interval

    0.95 to

    1.05

    0.95 to 1.05

    Ratio of w idths o f +ve and ve

    pu lses at the nom inal hal f

    ampl i tude

    0.95 to

    1.05

    0.95 to 1.05

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    Specification at Output Port (8M)Pair(s) in each direction One Coaxial Pair

    Test Load Impedance 75 ohm (rest.)

    Nom inal peak vo ltage of a mark

    (pulse)

    2.37 V

    Peak vo ltage of a space (no pu lse) 0 + 0.237 V

    Nom inal pulse width 59 ns

    Ratio of ampli tud e of +ve and ve

    pu lses at the centre of pulseinterval

    0.95 to 1.05

    Ratio of widths of +ve andve

    pulses at the nominal half

    amplitude

    0.95 to 1.05

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    Specification at Output Port (34MB)Pair(s) in each direction One Coaxial Pair

    Test Load Impedance 75 ohm (rest.)

    Nom inal peak vo ltage of a mark

    (pulse)

    1.0 V

    Peak vo ltage of a space (no pu lse) 0 + 0.1V

    Nom inal pulse width 14.55

    Ratio of ampli tude of +ve and ve

    pu lses at the center of pulseinterval

    0.95 to 1.05

    Ratio of w idths o f +ve and ve

    pu lses at the nom inal hal f

    ampl i tude

    0.95 to 1.05

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    Specification at Output Port (140Mb)

    Pair(s) in each direction One Coaxial Pair

    Test Load Impedance 75 ohm (rest.)

    pk . to p k. Voltage 1 + 0.1 V

    Rise time between 10%

    and 90% amp l i tude of

    measured ampl i tude

    < 2 ns

    Return loss > 15 dB for 7 MHz to 210

    MHz

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    DIGITAL TRANSMISSION ANALYSER

    80

    f

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    Performance Criteria

    Digital Transmission Analyser (DTA) is used forthe measurement of both BER and Jitter.

    Digital Transmission - Performance Criteria (

    General)1 in 106 (1.OE6) : Better

    1 in 105 (1.OE5) : Good

    1 in 104 (1.OE4) : Reasonably good

    1 in 103 (1.OE3) : Just Acceptable

    More than 1 in 103 : Unacceptable

    Bit errorsgreatly affect data service.

    For data channels 1 in 109 (1.OE9) is normally realizable.

    81

    l

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    Quality Parameters

    The quality parameters are: Error Seconds (ES)

    Severely Error Seconds (SES)

    Non Severely Error Seconds (NSES)

    Degraded Minutes (DM).

    82

    li

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    Quality Parameters

    Error Seconds (ES):Number of one-secondintervals with one or more errors.

    Severely Error Seconds (SES):Number of one-

    second intervals with an error rate, worsethan 1.OE-3

    Non-Severely Error Seconds (NSES): Number

    of one-second intervals with an error rate,better than or equal to 1.OE-3.

    83

    Degraded Minutes (DM): Number of one second

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    Degraded Minutes (DM): Number of one-second

    intervals with a bit error rates worse than 1.OE-6.

    Available and non-available time A period of available time begins with a period of

    ten consecutive seconds each of which has a BER

    better than 1.0E-3. These 10 seconds areconsidered to be available time.

    A period of unavailable time begins when the bit

    error rate in each second is worse than 1.0E-3 fora period of 10 consecutive seconds. These 10

    consecutive seconds are considered to be

    unavailable time.84

    JITTER

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    JITTER

    Jitteris the undesired deviation from trueperiodicity of an assumed periodic signal in

    electronics and telecommunications, often in

    relation to a reference clock source. Jitter maybe observed in characteristics such as the

    frequency of successive pulses, the signal

    amplitude, or phase of periodic signals. Jitteris a significant, and usually undesired, factor in

    the design of almost all communications links.

    85

    JITTER ASPECT OF MULTIPLEX

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    JITTER ASPECT OF MULTIPLEX

    EQUIPMENT

    Jitter introduced by the multiplex system:1. Jitter introduced due to the routine insertion of the

    frame alignment words and of the service digitsand justification instructions.

    2. Justification jitter.

    3. Waiting time jitter:-waiting time jitter which is dueto phase difference between write and read clockand varies from frame to frame, has a lowfrequency component and cannot be jittered outby P.L.L. at the demultiplexer

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