Digital Modulation for TEC Dated 25.04.2011

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    DIGITAL MODULATION

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    Developers of communications systems face these constraints w.r.tRF spectrum and power:

    Available bandwidth

    Permissible power

    Inherent noise level of the system

    The RF spectrum must be shared, yet every day there are more users

    for that spectrum as demand for communications services increases.

    Digital modulation schemes have greater capacity to convey large

    amounts of information than analog modulation

    Basic Concepts

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    There is a fundamental tradeoff in communication systems. Simple

    hardware can be used in transmitters and receivers to communicateinformation. However, this uses a lot of spectrum which limits the

    number of users.

    Alternatively, more complex transmitters and receivers can be used to

    transmit the same information over less bandwidth. The transition to

    more and more spectrally efficient transmission techniques requires moreand more complex hardware. Complex hardware is difficult to design,

    test, and build. This tradeoff exists whether communication is over air or

    wire, analog or digital.

    Basic Concepts

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    Basic Concepts

    A communication system has mainly 3 entities

    Information (Base-Band)

    Medium

    Carrier

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    Basic Concepts

    Modulation:

    The process which places the signal information on to sine wave

    carriers is called Modulation.

    Definition

    The process by which some characteristics of the carrier i.e.amplitude, frequency or phase is varied in accordance with the

    instantaneous value of the modulating signal.

    Modulation may be

    Analog Modulation Digital Modulation

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    Signal characteristics that can be modified

    There are only three characteristics of a signal that can be changed over

    time:Amplitude

    Phase

    Frequency

    However, phase and frequency are just different ways to view or

    measure the same signal change.

    Transmitting information: To transmit a signal over the air, there are

    three main steps:

    1. A pure carrier is generated at the transmitter.2. The carrier is modulated with the information to be transmitted. Any

    reliably detectable change in signal characteristics can carry information.

    3. At the receiver the signal modifications or changes are detected and

    demodulated.

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    Three types of modulation is:

    Amplitude Modulation: In AM, the amplitude of a high-frequency carrier

    signal is varied in proportion to the instantaneous amplitude of the modulatingmessage signal.

    Frequency Modulation: FM is the most popular analog modulation technique

    used in mobile communications systems. In FM, the amplitude of the

    modulating carrier is kept constant while its frequency is varied by themodulating message signal.

    Phase Modulation: In PM the phase is varied by the modulating message

    signal.

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    Polar display: Magnitude and phase represented together.

    A simple way to view amplitude and phase is with the polar diagram. The

    signal can be expressed in polar form as a magnitude and a phase. The

    phase is relative to a reference signal, the carrier in most communication

    systems. The magnitude is either an absolute or relative value. Both are

    used in digital communication systems. Polar diagrams are the basis ofmany displays used in digital communications, although it is common to

    describe the signal vector by its rectangular coordinates ofI(In-phase) and

    Q (Quadrature).

    Digital Modulation: Terminology

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    Signal changes or modifications in polar form

    Figure shows different forms of modulation in polar form. Magnitude isrepresented as the distance from the center and phase is represented as the angle.

    In Amplitude modulation (AM) only the magnitude of the signal changes.

    In Phase modulation (PM) only the phase of the signal Changes.

    Note that Amplitude and Phase both can be changed together.

    Frequency modulation (FM) looks similar to phase modulation.

    Digital Modulation: Terminology

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    Digital Modulation: Terminology

    In digital communications, modulation is often expressed in terms ofI and Q.

    This is a rectangularrepresentation of the polar diagram. On a polar diagram,

    theI axis lies on the zero degree phase reference, and the Q axis is rotated by90 degrees. The signal vectors projection onto theI axis is its I component

    and the projection onto the Q axis is its Q component.

    Digital modulation maps the data to a number of discrete points on the I/Q

    plane. These are known as constellation points.

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    I and Q in a radio transmitter:

    I/Q diagrams are particularly useful because they mirror the way most

    digital communications signals are created using an I/Q modulator. In the

    transmitter, I and Q signals are mixed with the same local oscillator (LO).A 90 degree phase shifter is placed in one of the LO paths. Signals that are

    separated by 90 degrees are also known as being orthogonal to each other

    or in quadrature. Signals that are in quadrature do not interfere with each

    other. They are two independent components of the signal. When

    recombined, they are summed to a composite output signal. There are twoindependent signals in I and Q that can be sent and received with simple

    circuits.

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    I and Q in a radio receiver

    The composite signal with magnitude and phase (or I and Q) information

    arrives at the receiver input. The input signal is mixed with the local oscillator

    signal at the carrier frequency in two forms. One is at an arbitrary zero phase.The other has a 90 degree phase shift. The composite input signal (in terms of

    magnitude and phase) is thus broken into an in-phase, I, and a quadrature, Q,

    component. These two components of the signal are independent and

    orthogonal.

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    Digital Modulation: Types

    The varoius types of digital modulation are:

    Frequency Shift Keying (FSK)

    Phase Shift Keying (PSK)

    Minimum Shift Keying (MSK) Quadrature Amplitude Modulation (QAM)

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    Frequency Shift Keying Frequency of the carrier is varied in accordance with the

    amplitude of the modulating signal and the carrier

    amplitude remains constant.

    F1

    F2

    FSK

    MODBB

    Digital Modulation methods

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    FSK

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    Phase Shift Keying (PSK)

    The phase of the carrier is varied in accordance with the

    information.

    PSK is divided into two level and multilevel systems (M-ary

    schemes).

    Types of PSK are:

    Binary Phase Shift Keying (BPSK)

    Quadrature Phase Shift Keying (QPSK)

    Offset Quadrature Phase Shift Keying (O-QPSK)

    8PSK

    Digital Modulation methods

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    PSK

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    BPSK

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    BPSK

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    QPSK

    The modulated output signal is shifted by four phases inaccordance with the input binary data.

    QPSK requires two input bits for each phase shift.ie each

    symbol carries 2 bits. Thereforesymbol rate in QPSK=Bitrate/2

    In QPSK, four different phases are represented by 45deg,135deg, -45deg & +135 deg.

    When the input digit changes from 00 to 11 or 01 to 10output phase changes by 180 degrees

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    QPSK

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    Binary InputQPSK o/p

    phase

    0 0

    0 1

    1 0

    1 1

    -135

    -45

    +135

    +45

    I Q

    +/4 +3/4 -/4 -3/4

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    QPSK

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    O-QPSK (Offset QPSK)

    O-QPSK (Offset QPSK)

    A variant of QPSK.

    The bit wave forms for the I and Q channels are offset orshifted in phase from each other by one half of the bit time.

    The range of phase transitions is 0 degree & 90 degrees

    (the possibility of phase shift of 180 degrees is eliminated)

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    Digital Modulation methods

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    In QPSK, the I and Q bit streams are switched at the same time. The symbol

    clocks are synchronized. In Offset QPSK (OQPSK), the I and Q bit streams

    are offset in their relative alignment by one bit period (one half of a symbol

    period).Since the transitions of I and Q are offset, at any given time only one of the

    two bit streams can change values. This creates a dramatically different

    constellation, even though there are still just two I/Q values.

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    Minimum Shift Keying

    The rectangular symbol pulse is replaced by a half cycle

    sinusoidal symbol pulse.

    In MSK, also the phase shifts can be detected with an I or

    Q modulator.

    At even numbered symbols, the polarity of I channel

    conveys the transmitted data and at odd numbered symbols

    the polarity of Q channel conveys the data.

    A phase shift of + 90 degrees represents a data bit equal to

    1 and a phase shift of90 degrees represents a data bit

    equal to zero.

    MSK with a gaussian filter is termed as GMSK

    Q d t A lit d M d l ti

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    Quadrature Amplitude Modulation

    Another member of the digital modulation family is Quadrature

    Amplitude modulation (QAM). QAM. The types of QAM are

    16-QAM

    32 QAM

    64 QAM

    256 QAM

    Q d t A lit d M d l ti

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    Quadrature Amplitude Modulation

    16-state Quadrature Amplitude Modulation (16QAM), there are fourI

    values and four Q values. This results in a total of 16 possible states forthe signal. It can transition from any state to any other state at every

    symbol time. The symbol rate is one fourth of the bit rate. So this

    modulation format produces a more spectrally efficient transmission. It

    is more efficient than BPSK, QPSK, or 8PSK. Note that QPSK is the

    same as 4QAM.

    Q d t A lit d M d l ti

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    Quadrature Amplitude Modulation

    Another variation is 64QAM. In this case there are 8 I values and 8 Q

    values. Since 26 =64, there are Six bits per symbol and the symbol rate

    is one sixth of the bit rate.

    The current practical limits are approximately 256QAM, though work is

    underway to extend the limits to 512 or 1024 QAM. A 256QAM system

    uses 16I-values and 16 Q-values, giving 256 possible states. Since 28 =

    256, each symbol can represent eight bits. A 256QAM signal that cansend eight bits per symbol is very spectrally efficient.

    However, the symbols are very close together and are thus more subject

    to errors due to noise and distortion. Such a signal may have to be

    transmitted with extra power (to effectively spread the symbols out

    more) and this reduces power efficiency as compared to simpler

    schemes.

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    64 QAM Constellation

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    Adaptive Modulation

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    THANKYOU