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Lecture 2.4. Multiplexing. Learning Outcomes. Discuss the concept of Multiplexing Explain & calculate frequency-division multiplexing. Explain & calculate time-division multiplexing. Differentiate between SDM,FDM and TDM. Multiplexing. 4 January 2020. 3. Multiplexing Principles.
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Learning Outcomes • Discuss the concept of Multiplexing • Explain & calculate frequency-division multiplexing. • Explain & calculate time-division multiplexing. • Differentiate between SDM,FDM and TDM.
Multiplexing 4 January 2020 3
Multiplexing Principles Needs Multiplexing – Process of transmitting two or more signals simultaneously 4 January 2020 4
Multiplexing : Applications Four communication applications that would be prohibitively expensive or impossible without multiplexing are: Telephone systems Telemetry Satellites Broadcasting (radio and TV)
Types of Multiplexing • Categories of Multiplexing Analog Digital
Types of Multiplexing The two most common types of multiplexing are Frequency-division multiplexing (FDM) Generally used for analog information. Individual signals to be transmitted are assigned a different frequency within a common bandwidth. Time-division multiplexing (TDM) Generally used for digital information. Multiple signals are transmitted in different time slots on a single channel.
These two basic methods are illustrated below. TDM: messages occupy all the channel bandwidth but for short time intervals of time FDM: all signals are transmitted at the same time (all the time) but in different frequency bands 4
Frequency Division Multiplexing FDM: all signals are transmitted at the same time (all the time) but in different frequency bands
Frequency Division Multiplexing 4 January 2020 12
FDM • FDM(Frequency-Division Multiplexing) • is an analog technique that can be applied when the bandwidth of a link (useful bandwidth of the medium excess) is greater than the combined bandwidths of the signals to be transmitted BW signal << BWmedium
FDM signal generation • FDM process • each telephone generates a signal of a similar frequency range • these signals are modulated onto different carrier frequencies(f1, f2, f3)
FDM signal generation FDM multiplexing process, time-domain modulated onto different carrier frequencies Requires its own carrier frequency Composite signal
FDM signal generation • FDM multiplexing process, frequency-domain
FDM signal generation • Demultiplexing • separates the individual signals from their carries and passes them to the waiting receivers.
FDM signal generation • FDM demultiplexing process, time-domain
FDM signal generation • FDM demultiplexing, frequency-domain
FDM: Composite signal spectrum WHY???? BW signal << BWmedium 4 January 2020 20
FDM: Composite signal spectrum For telephony, the physical line is divided (notionally) into 4kHz bands or channels, i.e. the channel spacing is 4kHz. Thus we now have: guard bands - to reduce adjacent channel crosstalk. 9
Frequency Division Multiplex Advantages: • no dynamic coordination needed Disadvantages: • waste of bandwidth if traffic distributed unevenly • guard spaces Channels ki k3 k4 k5 k6 c f t
Frequency Division Multiplexing 4 January 2020 23
Frequency Division Multiplexing • Example : Cable Television • coaxial cable has a bandwidth of approximately 500Mhz • individual television channel require about 6Mhz of bandwidth for transmission • How many channels it will carry?? • can carry 83 channels theoretically
Frequency Division Multiplexing Each broadcast stations carries an information signal (voice & music ) which occupies bandwidth between 0Hz ~5kHz Impossible to differentiate or separate one station’s transmission from another
Example 1 Assume that a voice channel occupies a bandwidth of 4 KHz. We need to combine three voice channels into a link with a bandwidth of 12 KHz, from 20 to 32 KHz. Show the configuration using the frequency domain without the use of guard bands. Solution Shift (modulate) each of the three voice channels to a different bandwidth, as shown in Figure 6.6.
Example 2 Five channels, each with a 100-KHz bandwidth, are to be multiplexed together. What is the minimum bandwidth of the link if there is a need for a guard band of 10 KHz between the channels to prevent interference? Solution For five channels, we need at least four guard bands. This means that the required bandwidth is at least 5 x 100 + 4 x 10 = 540 KHz, as shown in Figure 6.7.
Multiplexing Hierarchy 4 January 2020 30
Example: analogue carrier system for telephony 4 January 2020 31
Time Division Multiplexing 4 January 2020 32
Time-Division Multiplexing Time slot , ts Figure : The basic TDM concept.
TDM 4 January 2020 38
Transmission Line .. How to calculate transmission rate??? 4 January 2020 39
PCM Line Speed / Transmission rate Line speed = sample rate (fs) X number of bits in the compressed PCM code Line speed = sample X bits second sample Data rate at which serial PCM bits are clocked out of the PCM encoder onto the transmission line. 4 January 2020 40
TDM Line speed = 6000 sample X 7 bits second sample = 42, 000 bps Example : For a single PCM system with a sample rate = 6000 per second and a seven –bit compressed PCM code, determine the line speed . 4 January 2020 41
Statistical TDM is useful for applications in which the low-bit-rate streams have speeds that vary in time. 4 January 2020 43
Asynchronous TDM 4 January 2020 44
Asynchronous TDM 4 January 2020 45
TDM(cont’d) • Examples of asynchronous TDM frames a. Case 1: Only three lines sending data
TDM(cont’d) b. Case 2: Only four lines sending data
TDM(cont’d) c. Case 3: All five lines sending data
TDM(cont’d) • Inverse Multiplexing • takes the data stream from one high-speed line and breaks it into portion that can be sent across several lower speed lines simultaneously, with no loss in the collective data rate