Physical Layer Dr. Sanjay P. Ahuja, Ph.D. Fidelity National Financial Distinguished Professor of CIS School of Computing, UNF

Multiplexing Transmission channels are expensive. It is often that two communicating entities do not fully utilize the full capacity of a channel. For efficiency, the capacity is shared. This is called multiplexing. There are n inputs to a multiplexer. The multiplexer is connected by a single data link to a de-multiplexer. The link is able to carry n separate channels of data. The mux combines data from n input lines and transmits over a higher capacity data link. The demux accepts the multiplexed data stream and separates the data according to channel and delivers them to the appropriate output lines.

Multiplexing Transmission channels are expensive. It is often that two communicating entities do not fully utilize the full capacity of a channel. For efficiency, the capacity is shared. This is called multiplexing. There are three types of multiplexing: Frequency Division Multiplexing (FDM) Time Division Multiplexing (TDM) Wavelength Division Multiplexing (WDM)

Frequency Division Multiplexing (FDM) The frequency spectrum (bandwidth) is divided among the logical channels, single frequency bands are allocated to different users. E.g., in radio broadcasting different frequencies are allocated to different radio stations. FDM is used with analog signals. When 3000 Hz wide voice-grade telephone channels are multiplexed using FDM, 4000 Hz is allocated to each channel to keep them well separated (known as a guard band).

Time Division Multiplexing (TDM) In time division multiplexing, several connections share the high bandwidth of a channel. Here multiple signals (digital) are carried on a single channel by interleaving portions of each signal in time. TDM is a digital multiplexing technique and is used for digital data only.

The T1 Carrier (Example of TDM) The T1 carrier consists of 24 voice channels muxed together. On the transmitting end of a T1, a codec (coder-decoder) samples the analog amplitude of Hz voice lines each at 8000 samples per second, or 125 µsecond/sample for each of the 24 channels (see Nyquist theorem below). Each of the 24 channels gets to insert 8-bits into the output stream, 7-bits for data and 1 bit for signaling. Nyquist Theorem: A signal of bandwidth W can be completely captured by taking 2W samples per second. For a 4 KHz voice signal, all information can be recovered by sampling at 8000 samples/second. Sampling faster isn't useful but sampling slower than the Nyquist limit means that some changes in the signal will be missed and data lost.

The T1 Carrier Each T1 frame consists of 24 * 8 = 192 bits + 1 bit for framing = 193 bits/frame. There are 8000 frames generated per second (or 125 µsecond/frame). The gross data rate of T1 = 8000 frames/sec * 193 bits/frame = Mbps For transmitted digital data, the 24 th channel is used for synchronization and is considered as overhead.

TDM TDM allows multiple T1 carriers to be muxed into higher order carriers. 4 T1 channels muxed onto 1 T2 channel (6.312 Mbps). 7 T2 channels muxed onto 1 T3 channel ( Mbps). 6 T3 channels muxed onto 1 T4 channel ( Mbps).

Wavelength Division Multiplexing (WDM) WDM is used to carry many signals on one fiber.

Wavelength Division Multiplexing (WDM) 4 fibers come together at an optical combiner, each with its energy present at a different wavelength (λ). The 4 beams are combined onto a shared fiber. At the far end, the beam is split up over as many fibers as there were on the input side. Each output fiber contains a special filter that filters out all but one wavelength (λ). The resulting signal can be routed to their destination or recombined for additional muxed transport. Today we have WDM products that support 96 channels of 10 Gbps each for a total of 960 Gbps. When the number of channels is very large and the wavelengths are spaced closed together (0.1 nm – 0.4 nm), the system is referred to as Dense WDM (DWDM).

Erbium Doped Fiber Amplifier (EDFA)