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                                                                                                                                                           Modulators
                                                                                                                                                           Muhamamd Awaissaleem
                                                                                                                                                           Digital Communication
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Analog communication
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Published on Jul 20, 2013
Published in: Education, Technology
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 Analog communication
   1. V. Chandra Sekar © Oxford University Press 2013
   2. Introduction © Oxford University Press 2013
   3. Communication Basics              Communication deals with the principle of transferring information
   from one place to another.            It involves transmission and reception, and processing of
   information between these two locations.                  The source could be in continuous form as in the
   case of analog communication and as discrete signals as in the case of digital communication.
   Short distance transmission of information is called baseband transmission. © Oxford University
   Press 2013
   4. Communication Basics              For long distance transmission, information has to be impressed
   upon an high frequency component to be able to reach the reception end of communication.
   The high frequency component is termed as a carrier and the entire process is called
   modulation. © Oxford University Press 2013
   5. Need For Modulation           To translate the frequency of a low-pass signal to a higher band so
   that the spectrum of the transmitted bandpass signal matches the bandpass characteristics of
   the channel.        For efficient transmission, it has been found that the antenna dimension has to be
   of the same order of magnitude as the wavelength of the signal being transmitted.                              Since C= f
   for a typical low-frequency signal of 2 kHz, the wavelength works out to be 150 km. Even
   assuming the height of the Antenna half the wavelength, the height works out to be 75 km, which
   is impracticable. © Oxford University Press 2013
   6. Need For Modulation           To enable transmission of a signal from several message sources
   simultaneously through a single channel employing frequency division multiplexing.                              To
   improve noise and interference immunity in transmission over a noise channel by expanding the
   bandwidth of the transmitted signal. © Oxford University Press 2013
   7. Frequency Translation             The modulation process shifts the modulating frequency to a higher
   frequency, which in turn depends on the carrier frequency, thus producing upper and lower
   sidebands.         Hence, signals are upconverted from low frequencies to high frequencies and
   downconverted from high frequencies to low frequencies in the receiver.                            The process of
   converting a frequency or a band of frequencies to another location in the frequency spectrum is
   called frequency translation. © Oxford University Press 2013
   8. Types Of Modulation Depending on whether the amplitude, frequency, or phase of the carrier
   is varied in accordance with the modulation signal, we classify the modulation as                            Amplitude
   modulation         Frequency modulation              Phase modulation. The method of converting information
   into pulse form and then transmitting it over a long distance is called pulse modulation. © Oxford
   University Press 2013
   9. Transmitter       The message as it arrives may not be suitable for direct transmission. It may be
   voice signal, music, picture, or data. The signals, which are not of electrical nature, have to be
   converted into electrical signals. This is the role of transmitter. Typical block diagram is illustrated
   below. © Oxford University Press 2013
   10. Receiver        A receiver is meant to receive the electromagnetic signal which carries the
   information. It is tuned to receive the required information at a predetermined frequency. The
   output of the receiver is usually fed into a transducer which converts the information into
   understandable signal. © Oxford University Press 2013
   11. Multiplexing        When it is required to transmit more signals on the same channel, baseband
   transmission fails, as in the case of audio signals being broadcast from different stations on the
   same channel.           To encounter this problem either frequency division multiplexing or time
   division multiplexing is employed.              This method of transmitting several channels
   simultaneously is known as frequency division multiplexing (FDM).                           In Time Division
   Multiplexing (TDM) several signals are transmitted over a time interval. Each signal is allotted a
   time slot and it gets repeated cyclically. The only difference compared to FDM is that the signals
   are to be sampled before sending. © Oxford University Press 2013
   12. V. Chandra Sekar © Oxford University Press 2013
   13. Signals – An Introduction © Oxford University Press 2013
   14. Signals:       Any function that carries information.                 Shows how a parameter varies with
   another parameter.          Will be dealing with signals with time or frequency as an independent
   variable Signals © Oxford University Press 2013
   15. Signals are classified as:          Continuous and discrete.                 Causal and Non causal.          Even and
   Odd.    Deterministic and Random                 Real and complex                Energy and power type Signals ©
   Oxford University Press 2013
   16. Discrete Signals © Oxford University Press 2013
   17. Continuous Signals © Oxford University Press 2013
   18. Causal Signals © Oxford University Press 2013
   19. Even & Odd Signals © Oxford University Press 2013
   20. ( )sin sin ( ) , t c t t π π = © Oxford University Press 2013 Special Signals
   21. Sgn(t) = 1, t > 0 = -1, t < 0 © Oxford University Press 2013 Signum Signals
   22. Impulse or Delta signal ( ) 1 ( ) ( ) ( ) t and v t t dt v t δ δ ∞ −∞ ∞ −∞ = = ∫ ∫ © Oxford
   University Press 2013
   23. Classification Of Systems            Discrete time and Continuous Time systems.                      Time Invariant
   and Time varying systems              Causal and Non Causal system                   Instantaneous and Dynamic
   systems      Stable and Unstable systems © Oxford University Press 2013
   24. Fourier Series & Transform 1. Fourier series: - Any periodic of function of time x(t) having a
   fundamental period ‘T’ and frequency 1/T can be represented as an infinite series of sinusoidal
   waveforms of fundamental and its harmonic frequencies. 2. If a function is x(t), its Fourier series
   is given by: 0 1 1 ( 0 cos(2 ) sin(2 )n n n n x t a a fnt b fntπ π ∞ ∞ = = =+ +∑ ∑ © Oxford
   University Press 2013
   25. Where: 2 0 2 2 2 1 ( ) 2 2 ( ) cos 2 ( ) sin(2 ) T T T n T n a x t dt T nt a x t dt T T b x t nt dt T π
   π − − = = = = ∫ ∫ © Oxford University Press 2013
   26. Fourier Transform          To represent aperiodic function Fourier transform is used                       Unlike
   Fourier series, this representation will be continuous in frequency domain                          It is given by:     Also
   x(t) can be obtained from X(f) as: x(t) = 2 ( ) ( ) j ft X f x t e dtπ ∞ − −∞ = ∫ ∫ ∞ ∞− dfefX ftj π2 )( ©
   Oxford University Press 2013
   27. Laplace Transform 1. It converts time domain signal into frequency domain a plane called ‘s’
   plane having as the real part and ω as the imaginary part. 2. Laplace transform is given by the
   expression: 3. The inverse Laplace transform is given by: σ ( ) ( ) ( ) . . ( ) ( ) st jw t x x t e dt i e X
   x t e dtσ ω ω ∞ − −∞ ∞ − + −∞ = = ∫ ∫ 1 ( ) ( ) 2 st x t X s e ds jπ ∞ ∞ = ∫ © Oxford University
   Press 2013
   28. Z Transform          Z transform is a polar representation compared to rectangular representation
   in Laplace transform         It is for discrete time function              Z transform of a function x(t) is given by:
   Inverse Z transform is given by:           In Z transforms a term ROC is defined as “region of
   convergence” where the Z transform of a function has finite value. [ ] [ ] n X z x n z− = ∑ 1 [ ] [ ]x
   n x z Z = © Oxford University Press 2013
   29. V. Chandra Sekar © Oxford University Press 2013
   30. Amplitude Modulation © Oxford University Press 2013
   31.    Amplitude of the carrier is changed in proportion to the instantaneous amplitude of a
   message signal           Carrier frequency must be relatively higher than the message frequency
   Modulation index ‘m’ is the ratio of Em/Ec                 Percentage of modulation = m x 100% Amplitude
   Modulation © Oxford University Press 2013
   32. AM Envelope © Oxford University Press 2013
   33. Frequency Spectrum Of AM Wave © Oxford University Press 2013
   34. Power Spectrum Of AM © Oxford University Press 2013
   35.    Suppressed Carrier Systems                 Double side band (DSB) system                 Single side band
   system(SSB)          SSB with pilot carrier           Independent side band (ISB) system                 Vestigial side
   band (VSB) system Other AM Systems © Oxford University Press 2013
   36. AM Waveforms For AM, DSB & SSB © Oxford University Press 2013
   37. Single Sideband Advantages:                 Lesser power consumption.                Conservation of bandwidth.
   Noise reduction.         Less fading. Disadvantages:                   Requires complex receiver.         At the receiver,
   coherent carrier has to be generated.                 In case of pilot carrier, at the receiver end it has to be
   boosted properly. © Oxford University Press 2013
   38.    Square law Modulators             Switching Modulators               Transistor Modulators         Low level
      Medium level       High level AM Modulators © Oxford University Press 2013
   39. Balanced Modulators 1. Balanced ring Modulator 2. Balanced bridge Modulator 3. Transistor
   balanced Modulator 4. FET balanced Modulator SSB Generation 1. The filter method 2. The
   phase shift method 3. The Third method Types Of Modulators © Oxford University Press 2013
   40. AM Demodulators 1. Rectifier detector 2. Envelope detector Detector Distortions 1. Diagonal
   peak clipping 2. Negative peak clipping SSB Reception 1. Coherent detection 2. Reception with
   pilot carrier Demodulators, Distortions & Reception © Oxford University Press 2013
   41. AM Transmitters Low Level AM DSBFC Transmitter © Oxford University Press 2013
   42. High Level DSBFC Transmitter © Oxford University Press 2013
   43. SSB Transmitter         SSB suppressed carrier Transmitter: BPF is used to remove the other
   sideband © Oxford University Press 2013
   44. Phase Shift Method © Oxford University Press 2013
   45. SSB Transmitter With Pilot Carrier © Oxford University Press 2013
   46. AM Receiver © Oxford University Press 2013 Super Heterodyne Receiver
   47. SSB Pilot Receiver © Oxford University Press 2013
   48. Communication Receiver © Oxford University Press 2013
   49.    Selectivity       Sensitivity     Dynamic range             Fidelity       Bandwidth        Noise temperature
   and equivalent noise temperature © Oxford University Press 2013 Receiver Parameters
   50. Costas Loop © Oxford University Press 2013
   51. V. Chandra Sekar © Oxford University Press 2013
   52. Angle Modulation © Oxford University Press 2013
   53.    Angle modulation includes both frequency and phase modulations.                              In Frequency
   Modulation(FM), the frequency of the carrier is changed with respect to amplitude of the
   message signal           In phase modulation(PM), the phase of the carrier is changed with respect to
   amplitude of the message signal                 Unlike AM, both FM and PM are nonlinear, hence much more
   difficult to implement and analyze. Introduction © Oxford University Press 2013
   54. 1. Modulation index for FM wave is given by: Where ∆f is the frequency deviation and fm is
   the modulating frequency 2. The expression for an FM wave is: 3. Modulation index for PM wave
   is given by: where, is the phase deviation given by: 4. The expression for an PM wave is: m f f β
   ∆ = ( ) cos[2 sin{2 ( )}]FM c mf t A f t f tπ β π= + p mm k E= pK p m k E θ∆ = ( ) cos[2 cos{2 (
   )}]PM c mf t A f t f tπ θ π= + ∆ Modulation Index & Deviation © Oxford University Press 2013
   55. Frequency & Phase Modulator Phase modulator can be used to generate FM wave and FM
   modulator can be used to generate PM wave as shown: © Oxford University Press 2013
   56. FM & PM Waves © Oxford University Press 2013
   57.    FM with β <<1 is called narrowband FM                     Expression for narrow band FM: f(t) = Vc {cos
   ωct - cos (ωc – ωm) t + cos (ωc + ωm) t}                  Phasor diagram of narrowband FM: Narrowband FM
   © Oxford University Press 2013
   58.    FM with β > 10 is called wideband FM                    Expression for wideband FM:              f(t) = Jo(β) cos
   ωc t – J1(β){ cos(ωc – ωm) t – cos(ωc – ωm) t}+ J2 (β) { cos (ωc - 2ωm) t + cos (ωc + 2ωm) t} –
   J3 (β) { cos (ωc - 3ωm) t – cos (ωc - 3ωm t) } + -------                    The function Jn(β) is called the Bessel
   function.    The spectrum is composed of a carrier with an amplitude Jo (β) and a set of side
   bands spaced symmetrically on either side of the carrier at frequency separation of ωm, 2ωm,
   3ωm --- and so on.          Unlike AM, FM has an infinite number of side bands along with carrier.
   These side bands are separated from the carrier by fm, 2fm, 3fm ---------. Wideband FM ©
   Oxford University Press 2013
   59. Bessel Function As A Function Of β © Oxford University Press 2013
   60. Bessel Function Values © Oxford University Press 2013
   61.    Carson’s formula for bandwidth of FM system Band width = 2(∆f + fm) HZ                              For low
   modulation index, in case of narrow band FM since 2∆f << fm, equation reduces to Band width =
   2fm and for wide band FM where ∆f >> fm, equation reduces to Band width = 2∆f.                                 Average
   power in sinusoidal wideband FM: PT = Vc 2 Jo 2 (β) /R + 2Vc 2 /R { J1 2 (β) + J2 2 (β) + J3 2
   (β) + ---------- } = Vc 2 /R [ J0 2 (β) + 2 { J1 2 (β) + J2 2 (β) + J3 2 (β) + -------------- }] = Pc [ Jo 2
   (β) + 2 { J1 2 (β) + J2 2 (β) + J3 2 (β) + ------------------- }] where Pc is the unmodulated power Vc
   2 /R. Bandwidth Requirements For Angle Modulated Waves © Oxford University Press 2013
   62. The expression for sinusoidal FM is: Kp em(t) = Kp Em sin ωm t = ∆ Φ sin ωm t where ∆ Φ =
   Kp Em, ∆ Φ is defined as “Peak phase deviation” and is directly proportional to the peak
   modulating signal. Sinusoidal Phase Modulation © Oxford University Press 2013
   63. Phasor Representation © Oxford University Press 2013
   64.    FM generation          Varactor diode modulators                  Reactance modulators           Modulators using
   linear integrated circuits       Indirect methods for narrow band and wideband                         PM generation:
   Varactor diode in direct PM modulators                  Direct method with transistor FM & PM Generation ©
   Oxford University Press 2013
   65.    Slope detector         Balance slope detector              Foster Seeley discriminator            Ratio detector
   Demodulator using PLL           Quadrature detector               Zero crossing detector FM Detectors © Oxford
   University Press 2013
   66.    Crosby Direct FM Transmitter: FM Transmitter © Oxford University Press 2013
   67. Indirect FM Transmitter © Oxford University Press 2013
   68. Super heterodyne Receiver FM Receivers © Oxford University Press 2013
   69. Double Superheterodyne Receiver © Oxford University Press 2013
   70. Phased Lock Loop           It is a feedback system that generates a signal that has a fixed relation
   to the phase of a reference signal .              A phase locked loop circuit responds to both the frequency
   and phase of the input signals, by changing the frequency of the voltage controlled oscillator until
   it matches to the reference input in both frequency and phase. Hence it is a negative feedback
   system except that the feedback error signal is a phase rather than a current or voltage signal as
   usually the case in conventional feedback system. © Oxford University Press 2013
   71. PLL Block Diagram (Analog) © Oxford University Press 2013
   72. PLL Block Diagram (Digital) © Oxford University Press 2013
   73.    Data and Tape Synchronization                  Modems            FSK Modulation        FM Demodulation
   Frequency Synthesizer           Tone Decoding              Frequency Multiplication and Division PLL
   Applications © Oxford University Press 2013
   74.    Is a powerful technique to generate RF signals.                      A direct digital synthesizer operates by
   storing the points of a waveform in digital format, and then recalling them to generate the
   waveform.        The rate at which the synthesizer completes one waveform then determines the
   frequency. Direct Digital Synthesis © Oxford University Press 2013
   75. Direct Digital Synthesis © Oxford University Press 2013 Block Diagram :
   76. V. Chandra Sekar © Oxford University Press 2013
   77. Pulse Modulation © Oxford University Press 2013
   78. Pulse Modulation          In analog pulse modulation, the carrier is a periodic pulse train                      The
   amplitude, position and width of the carrier pulse train are varied in a continuous manner in
   accordance with the corresponding sample value of message signal.                             Thus in Pulse
   modulation, information is transmitted basically in analog form, but the transmission takes place
   at discrete times. © Oxford University Press 2013
   79.    In the case of digital pulse modulation the message signal is represented in a form that is
   discrete in both time and amplitude               The data is transmitted as a sequence of coded pulse.
   This type of modulation is also called pulse code modulation (PCM).                           PCM is the most widely
   used form in the field of Telecommunication.                   Digital Data transmission provides a higher level
   of noise immunity, more flexibility in the band width                    Power tradeoff possibility of providing
   more security to data and ease of implementation using large scale integrated circuits. © Oxford
   University Press 2013
   80.    Pulse width modulation (PWM)                   Pulse position modulation (PPM)               Pulse amplitude
   modulation (PAM)           Pulse code modulation (PCM) Predominant Methods Of Pulse Modulation
   © Oxford University Press 2013
   81. Pulse Width Modulation © Oxford University Press 2013
   82. Pulse Amplitude Modulation © Oxford University Press 2013
   83. Pulse Amplitude Modulation © Oxford University Press 2013
   84. Pulse Modulation Technique © Oxford University Press 2013
   85.    PCM offers a method of over coming some of the disadvantages of other type of pulse
   modulation.        In PCM the instantaneous amplitude of the sample is represented by a binary
   code resulting in a series of ones and zeros or mark and space.                          All pulses have the same
   height and same shape           Since only ones and zeros are sent. The receiver has only to detect
   the presence or absence of a pulse.                  A distorted pulse does not degrade the signal as long as
   the pulse can still be recognized. Hence PCM is less sensitive to noise than wither PAM or PWM
   Pulse Code Modulation (PCM) © Oxford University Press 2013
   86. PCM Transmitter & Receiver © Oxford University Press 2013
   87.    When more than one application or connection share the capacity of one link it is called
   multiplexing.       This results in better utilization of resources.                A typical example is, many
   conversations over telephone line, trunk line, wireless channel, etc.                        A few examples of
   multiplexing are:        TDM- Time division multiplexing                  FDM- Frequency division multiplexing
   WDM- Wavelength division multiplexing                    CDMA- Code division multiple access Multiplexing ©
   Oxford University Press 2013
   88. FDM Transmitter © Oxford University Press 2013
   89. FDM Receiver © Oxford University Press 2013
   90. Synchronous TDM Transmitter © Oxford University Press 2013
   91. Synchronous TDM Receiver © Oxford University Press 2013
   92. Analog Carrier System Using FDM © Oxford University Press 2013
   93. Digital Carrier System Using TDM © Oxford University Press 2013
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