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# Multiplexing

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### Multiplexing

1. 1. MULTIPLEXING TYPESFrequency Division MultiplexingTime Division MultiplexingWavelength Division Multiplexing
2. 2. Categories of multiplexing
3. 3. FDMIs the process of translatingindividual speech circuits (300-3400Hz) into pre assigned slotswithin the bandwith of transmissionmedium. and, the preassigned slotsare always available to each user
4. 4. FDM
5. 5. FDM process
6. 6. FDM demultiplexing example
7. 7. Example 1
8. 8. TDMThe process where a transmissionmedium is shared by a number of circuitsin time domain by establishing asequence of time slots during whichindividual channels can be transmitted…Thus the entire bandwidth is periodicallyavailable to each channel
9. 9. TDM
10. 10. TDM frames
11. 11. PCM PROCESSES Filtering Sampling Quantization Encoding Line coding
12. 12. SAMPLING
13. 13. SAMPLING THEOREM “ 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= >2fH
14. 14. PULSE CODE MODULATION• Voice Frequency range 0- 4 Khz• Sampling the Voice Signal @ 8 Khz (Double the Max. Frequency as per sampling theorem) i.e. 8000s/sec• Sampling time period Ts=1sec/8000• Ts= 125 microsec• Time available for sampling each channel, when we have N total channels=125/N• In PCM, Time frame=125microsec ;time available per chl=125/32 =3.9microsec.
15. 15. QUANTIZING The process of measuring the numerical values of the samples and giving them a table value in a suitable scale The finite number of amplitude intervals is called the ‘quantizing interval’ like quantizing interval no.1 is 10-20mV; 2 is 20-30mV etc. in a case of 1V signal. Linear quantizing is where the quantizing intervals are of the same size
16. 16. QUANTIZING LEVELS
17. 17. QUANTIZING (one side)
18. 18. QUANTIZING Quantization intervals are coded in binary form, and so the quantization intervals will be in powers of 2. In PCM, 8 bit code is used and so we have 256 intervals for quantizing (128 levels in the positive direction and 128 levels in negative direction)
19. 19. QUANTIZING (both sides)
20. 20. QUANTIZATION DISTORTION The deviation between the amplitude of samples at the transmitter and receiving ends In linear quantization, the distortion is more and to decrease the distortion, the no. of steps in the given amplitude range has to be increased. Due to BW limitations, more quantum levels in small amplitude region are planned results to Non linear (uniform) quantization
21. 21. COMPANDING Is the process where non uniform quantization is achieved using segmented quantization In companding, to specify the location of sample value, the following are necessary… sign of the sample, the segment no., the quantum level within the segment.
22. 22. SEGMENTATION
23. 23. PCM ENCODING
24. 24. FRAME STRUCTURE In PCM we have 32 Ts and Ts 0 (FAW) carries the synchronization signals and FAW digit value is X 0 0 1 1 0 1 1 . FAW transmitted in alternate frame. In FAW unused frames, supervisory and alarm signals are transmitted Ts 16 carries the signalling information (for 2 channels)
25. 25. FAW/ALARM DIGIT CODES
26. 26. FRAME STRUCTURE For carrying the signalling for all 30 chls and for carrying sync. Data for all frames, in PCM 16 frame pattern is used and it is known as multi frame Duration of multi frame is 2msecs.
27. 27. PCM Standards THERE ARE TWO STANDARDS OF PCM NAMELY 1) THE EUROPEAN 2 ) THE AMERICAN. THEY DIFFER SLIGHTLY IN THE DETAIL OF THEIR WORKING BUT THE PRINCIPLES ARE THE SAME. EUROPEAN PCM = 30 CHANNELS NORTH AMERICAN PCM = 24 CHANNELS JAPANESE PCM = 24 CHANNELS IN INDIA WE FOLLOW THE EUROPEAN PCM OF 30 CHANNELS SYSTEM WORKING.
28. 28. EUROPEAN PDH HIERARCHY WITH BIT RATESMUX BIT RATE PARTS PER CHANNELS MILLION2 Mbps 2.048 Mbps +/- 50 ppm 308 Mbps 8.448 Mbps +/- 30 ppm 12034 Mbps 34.368 Mbps +/- 20 ppm 480140 Mbps 139.264 Mbps +/- 15 ppm 1920
29. 29. Dig. Hier based on 24chl PCM
30. 30. MULTIPLEXING OF ASYNCHRONOUS SIGNAL in order to move multiple ASYNCHRONOUS 2 mbps data streams from one place to another, they are combined together or “multiplexed” in groups of four. this is done by taking 1 bit/word from stream #1, followed by 1 bit/word from #2, then #3, then #4. the transmitting multiplexer also adds additional bits in order to EQUAL or synchronise the bits in the multiplexer and the process adopted for such synchronization is called “justification” bits or “ pulse stuffing ”
31. 31. JUSTIFICATION TYPES Positive justification: Common synchronization bit rate offered at each tributary is higher than the bit rate of individual tributary. Positive-negative justification Negative justification
32. 32. DIGITAL MUX CONCEPTS • BYTE INTERLEAVING • WORD / BYTE / BLOCK INTERLEAVING: • IF THE CHANNEL TIME SLOT IS LONG ENOUGH TO ACCOMMODATE A GROUP OF BITS THEN THE MULTIPLEXED SIGNAL IS CALLED A “ BYTE INTERLEAVED OR WORD INTERLEAVED SIGNAL”.A1 A2 A3 A4 B1 B2 B3 B4 C1 C2 C3 C4 D1 D2 D3 D4
33. 33. DIGITAL MUX CONCEPTS  BIT INTERLEAVING:  ALTERNATELY EACH CHANNEL CODE CAN BE SCANNED ONE DIGIT AT A TIME. THE MULTIPLEXED SIGNAL IS CALLED A “BIT INTERLEAVED SIGNAL”.  “BIT INTERLEAVING” IS USED IN HIGHER ORDER MULTIPLEXING.A1 B1 C1 D1 A2 B2 C2 D2 A3 B3 C3 D3 A4 B4 C4 D4