Industry Insights

PAM4 and FEC Push the Limits of the Shannon-Hartley Theorem

2018-10-15  |  5 min read 

The Shannon-Hartley theorem states that there is a theoretical maximum amount of error-free data that can be delivered over a specified channel bandwidth in the presence of noise. By increasing either the channel bandwidth or the number of signal levels, it is possible to achieve higher data rates.  Non-return-to-zero (NRZ) and four-level pulse amplitude modulation (PAM4) are two signal modulation technologies used to increase data rate over a channel.

NRZ and PAM4 Modulation

NRZ is the most common signal modulation scheme for 100GE today. It is a two-state transmission system (also referred to as two-level pulse amplitude modulation or PAM2) where positive voltage represents a logical "1", and an equivalent (generally) negative voltage represents "0". 100GE requires four lanes of 25 gigabits per second (Gb/s) NRZ modulated signals. Since NRZ has gradually evolved over the last 50 years, with improved speeds from 110 bits per second to 100 Gb/s, many new concepts and challenges have already been researched and addressed. By applying these same concepts, using eight lanes of 56 Gb/s NRZ signaling to move to 400GE is a logical evolution. However, as speeds of NRZ designs increase above 28 Gb/s, channel loss becomes a limiting factor. PAM4 and forward error correction (FEC) are recommended to reach 400 Gb/s speeds.

PAM4 signals use four amplitude levels with bits 00, 01, 10 and 11 to represent a symbol. The number of symbols transmitted per second (baud rate) is half the number of bits sent per second. For example, a data rate of 28 gigabaud (GBaud) means there are 56 gigabits of data transmitted per second. A 28 GBaud PAM4 signal provides double the data rate (throughput) in the same bandwidth as a 28 GBaud NRZ signal where one bit represents one symbol.

This increased data throughput comes at a cost. PAM4 designs are far more susceptible to noise since an amplitude swing of two represents four signal levels. In PAM4 transceiver designs, the signal-to-noise ratio (SNR) is lower, making noise analysis much more complicated than with NRZ. Testing needs to account for channel return loss, as well as noise from the test instrumentation. Forward error correction (FEC) is used to improve link integrity and counteract physical layer level errors introduced by reduced SNR in PAM4 signals.

Forward Error Correction (FEC)

FEC is an advanced coding technique that sends the required information to correct errors through the link along with the payload data. The decoder uses this information to recover corrupted data without the need to request the transmitter to retransmit it.  Both the transmitting and receiving ends of the link must know which coding scheme is being used for the link to operate.  Links employing FEC use a variety of coding systems.  The more common coding schemes used in data center networking are variants of the Reed Solomon (RS) system, initially developed in the 1960s by Irving Reed and Gustav Solomon for use in satellite data links. Download the 400GE FEC Encode/Decode Processing infographic to learn more.

PAM4-FEC
400GE FEC Encode/Decode Processing Infographic

Test Implications of FEC

Physical layer testing of PAM4 signals must account for new test challenges introduced by FEC. With 400GE, naturally occurring errors in the system are "acceptable" to a certain level and then corrected with FEC, resulting in a nearly error-free environment post-FEC. The ideal test solution will need to look beyond the physical layer and include testing FEC at the networking protocol layer. Find the solutions to address your PAM4 design and test challenges here.