Fangxu Lü，Jianye Wang，Xuqiang Zheng，Ziqiang Wang* ，Yajun He，Hao Ding，Yongcong Liu，Chun Zhangand Zhihua Wang

(1．Air and Missile Defense College，Air Force Engineering University，Xi'an 710051，China;2．The Institute of Microelectronics，Tsinghua University，Beijing 100084，China)

Abstract:A 40 Gb/s full serializer and deserializer(SerDes)transceiver with controller and physical layer(PHY)is presented．The controller mainly contains protocol transmission，forward error correction and user layer build-in self-test(BIST)．The physical coding sub-layer(PCS)provides the functions of 64/66 encoder/decoder，PHY BIST，and polarity control．In the physical medium attachment(PMA)，both transmitter(TX)and receiver(RX)adopt quarter-rate architecture to relax the timing constraint and reduce power dissipation．The receiver utilizes the phase interpolator(PI)based clock and data recovery(CDR)with bang-bang phase detector(BBPD)to extract the synchronic clock for retiming and de-multiplexing．The multiple-MUX based 4-tap FFE and a two-stage cascade CTLE are employed to mitigate the inter-symbol interference(ISI)．In addition，a proposed 4 ∶1 MUX is used to improve the output jitter performance and reduce the power consumption．Fabricated in a 65 nm CMOS technology，the full transceiver consumes 890 mW at 40 Gb/s and occupies 12 mm2．The measurement results show that this transceiver can achieve bit error rate(BER) ＜ 10－12after a 15．3 dB loss channel at 20 GHz．

Keywords:SerDes;transceiver;controller;PCS;PMA;CDR

1 Introduction

The rapid development of many applications，such as big data，cloud computing and internet of things(IoT)，leads to bandwidth exponential growth demand on data communication in both telecommunication system(backbone network)and local electronic system(chip-to-chip，backplane-tobackplane and multiple services)［1］．This increasing bandwidth demand has pushed serial-link towards data-rates of 40 Gb/s or beyond［2－6］．

When data rate reaches 40 Gb/s，there are two main challenges encountering for design．One challenge is the timing budget extremely tight due to the ever decreased unit interval period．In the transmitter，the final stage serializer suffers from strict setup and hold time constraints at this high speed，so calibration loop［5，7－9］， and quarter-rate structures［10－11］are employed．To satisfy the jitter tolerance requirement while maintaining excellentjitterperformance，a phase interpolator(PI)based digital clock and data recovery CDR are widely used due to its robustness，portability，and compactness［12－15］．In addition，the low jitter PLL is also required in system to provide high performance clock for both TX and RX．Another challenge is the channel loss including the parasitic of the bonding and electronic static discharge(ESD)，dielectric loss and skin effect in cable and PCB trace，which all lead to inter-symbol interference(ISI)．So the appropriate equalization scheme should be employed to compensate channel loss．Beside the two challenges mentioned above，the power and area efficient are still consideration for implementation．

This paper is focus on 40 Gb/s full SerDes transceiver with controller and PHY for very short range communication in data centre．

2 System Architecture

Fig．1 shows the block diagram of the 40 Gb/s SerDes system architecture with controller，PCS and PMA．Transmitter in PMA contains low-speed 64 ∶4 MUXs，high speed 4 ∶1 MUXs，feed-forward equalization(FFE)and output driver．Receiver in PMA includes continuous-time linear equalizer(CTLE)，PI based CDR and 16 ∶64 DEMUXs．In order to improve power efficiency and relax timing budget，both TX and RX adoptquarterrate architecture．In addition，an LC-VCO based subharmonic injection locked PLL(SILPLL)with mixerbased injection timing control is used to provide a low jitter clock source for TX and RX［15］．

Fig．1 Block diagram of the 40 Gb/s SerDes system architecture

Both PCS and controller are synthesized by digital logic．The former mainly consists of PHY BIST(pattern generator and pattern checker)，F(xiàn)IFO/Elastic buffer， 64/66 encoder and decoder， and polarity reversal circuit．The PHY BIST can generate and check the PRBS-7 pattern data．Besides that，the PCS supports P/N reverse to be convenience for practice application．The controller contains protocol transmission，forward error correction(FEC)and user layer BIST．

3 Transmitter

A block diagram of the transmitter circuit is shown in Fig．2．It consists of low-speed 64 ∶4 MUXs，4-tap multiple-MUX based FFE including latch arrays and a proposed 4 ∶1 MUX，quadrature phase calibration(QPC)/duty cycle correction(DCC)circuits and a SILPLL with clock distribution．The 64 bit parallel data coming from the PCS are first multiplexed to yield four 10 Gb/s data streams in the low-speed 64 ∶4 MUX circuit．The latch arrays use the quarter clocks to retime the input data and delay them with the proper UI space(the latch positions represent the signal's delay time)and finally generate 16-path quarter-rate data．The 16-path data are feed into the following four 4∶1 MUXs to generate four full-rate data streams，which are delayed one UI space at full rate speed．After firstly buffered by pre-drivers，the four data streams are sent to the 4-tap FFE for equalization．In addition to，the QPC and DCC of the quadrature clocks are needed due to the 4∶1 MUX being sensitive to quadrature phase mismatch and duty cycle distortion［2］．

The main feature of the transmitter is utilizing 4-tap multi-MUX based FFE，which notonly extremely relaxes the stringent timing requirement of the final serialization stage，but also saves the power dueto halving the maximum clock speed and replacing the final two-stage 2∶1 multiplexers(MUXs) and the retiming latches with one 4∶1 MUX． Furthermore， a novellow power 4∶1 MUX is proposed to further improve the jitter performance．The details of the proposed 4 ∶1 MUX are present below．

Fig．3 depicts a block diagram of the proposed 4∶1 MUX．It consists of peaking-loads and four unit cells，which are activated sequentially by four quadrature clocks．Each unit cell contains a differential pair of pulse generator．The detail of the pulse generator is illustrated in Fig．3 dash box．The pulse generator contains two cascade sampling stages．The first sampling stage consisting of three stack transistors is as a latch，while the second sampling stage consisting of two transistors is as the output stage．Here，CKaand CKbare quadrature clock and CKais ahead CKb90 degree phase．Dinis the quarterrate input data and Voutis the pulse generator output．The logic function ofthe pulse generator is as follows:

Fig．2 Block diagram of the transmitter

Fig．3 The proposed 4 ∶1 MUX with the pulse generator details

It is noted that when just analyzing the circuit details of the pulse generator，the intermediate node Vuis considered as an uncertain state at the time of Dinis low and CKais high．However，the 4 ∶1 MUX is a sequential circuit．When feeding the data into the 4:1MUX，the data are firstly retimed and delayed with proper time by latch arrays．In order to guarantee the proper serialization，the data transitions only occur at the negative pulse of the CKa(see Fig．4)．In addition，the timing constraint can effectively avoid the uncertain state occurring at the intermediate node(Vu)．

Fig．4 also gives the timing diagram of the uncertain state under the timing constraint．In the first stage Δt1，the intermediate node Vuis a certain state and its value is high．When the rising edge of the CKaarrives，Vuentrances the uncertain state．However，Vustill keeps high during the positive of CKa(in the second stage Δt2)．Because the electric charge leakage of the MOS(reducing Vu's electric charge)is very little in this technology and the clock feed-through of CKa(increasing Vu's electric charge)cannot exceed the threshold value．When the falling edge of the CKaarrives，Vureturns into the certain state and its value is high in the stage of Δt3．Therefore，the uncertain state can be effectively avoided in the timing constraint．

Fig．4 Timing diagram of the proposed pulse generator in 4∶1 MUX

Fig．5(a)gives another pulse generator of the 4 ∶1 MUX［16］．The pulse generatoradoptsthree stacked transistors to generate a narrow output pulse．Comparing with the proposed pulse generator，although it can save power，it has to be large enough size to provide the needed current drive，which inevitable increases the output capacitance and reduces its bandwidth．Fig．5(b) gives another basic pulse generator ofthe 4 ∶1 MUX［17］．Itseparatesthe ANDing and sampling operations into two stages．Although the output capacitance is reduced，the intermediate inverter needs a 25%duty-cycle pulse every clock period to driver the output stage．In order to have enough bandwidth，the output of the inverter needs sharp enough edges，which needs large size transistor and is power hunger． However， the proposed 4∶1 MUX not only reduces the output stage，but also improves the power efficiency due to only using 50%duty clock．

Fig．6 shows the simulation results of the proposed 4 ∶1 MUX using the calibrated clocks．The four horizontal eye widths of the 4∶1 MUX are almost identical，and its maximum jitter is 249 fs．The simulation results of the proposed 4∶1 MUX show that it has better jitter performance than that of the 4 ∶1 MUX in Ref．［17］．

Fig．5 Schematic of other pulse generators

Fig．6 Eye diagram of the 4 ∶1 MUX output after buffer

4 Receiver

Fig．7 shows a block diagram of the RX circuit，which mainly consists of T-coil，2-stage CTLE，PI based digital CDR，and clock input circuit．The T-coil is used to extent the bandwidth of the analog frontend．The input data passing the T-coil is firstly equalized by the CTLE and then feeds them into the CDR．The CDR utilizes the eight-phase clocks to sample the input data information and then uses 16 BBPDs and a majority voter to extract the phase error between the input data and the local clock．After being filtered and accumulated by the digital loop filterand phase integration，the EARLY/LATE information rotates the PI by 6 bit current digital-to-analog converter(DAC)for tracking the input data phase．Finally，these recovered 16 path data are deserialized and then are sent to the PCS．At the same time，the recovered clock is divided to 625 MHz and also is sent to PCS．

The main features of the CDR are utilizing the quarter-rate architecture to relax the tight timing of the sampling front-end，and employing both the 2nd order digital filter and compensating PI to improve the CDR performance．Fig．8 shows the timing diagram of the quadrature sampling．By adopting the 2nd order loop，the CDR not only enlarges the jitter tolerance but also reduces the self-generated hunting jitter．Besides that，to further reduce the self-generated hunting jitter，this design uses compensating PI to improve the linearity between the input phase code and output clock's rotated phase．This is because the nonlinearity of the PI introduces a much larger phase jump in differential path and makes the data-sampling clock drifting away from the optimal decision points．The details of the CDR with the compensating PI design can get from Ref．［18］．

Fig．7 Block diagram of the receiver

Fig．8 Timing diagram of the quadrature sampling

5 Measurement Results

The full transceiver with controller and PHY is implemented in a 65 nm CMOS technologyand adopts chip on board(COB)package．The controller and PCS are synthesized by digital logic．Fig．9(a)shows the micrograph of the full chip and the test PCB is illustrated in Fig．9(b)．The full chip occupies an area of 3 mm×4 mm，where the core area of the TX including PLL and the RX are 1．01 mm×1．12 mm and 1．92 mm × 1．2 mm respectively．The controller and PCStogether consume 375 mW from 1．0 V supply and the PMA consumes 517 mW from 1．2 V supply at 40 Gb/s．Power breakdown of the full transceiver is shown in Fig．10．

Fig．9 Micrograph of the full chip and the test PCB

The phase noise of the 20 G SILPLL with quarter-rate output at 5 GHz is measured with Agilent E4440A and shown in Fig．11．Its phase noise is－134dBc/Hz at 1 MHz frequency offset．In addition to，the SILPLL can lock from 18．6 GHz to 22．7 GHz with 3 bit switch-capacitor．

Fig．10 Full chip power breakdown

Fig．11 Measured SILPLL phase noise with quarterrate output at 5 GHz

The transmitter output is measured with Agilent DSA-X 93204A(32 GHz bandwidth)after a channel consisting of a 900 μm double bonding wire， a 3．2 cm PCB trace， a 2．92 mm connectorwith 40 GHz bandwidth and a 0．5 m cable．Measurement result shows that this channel has 9．7 dB insert loss．Fig．12(a)and(b)give the eye-diagrams of the PHY BIST transmitting 40 Gb/s PRBS-7 pattern before and after applying the 4-tap FFE obviously，and the FFE can significantly improve the eye quality．After using the optimal equalization coefficients(Pre=421 mV，Main=642 mV，Post1=494 mV and Post2=387 mV)，the eye width and eye height are optimized to 0．55UI and 192 mV，respectively．The total jitter is 11．2 ps．

Fig．12 PHY_BIST transmitting 40 Gb/s PRBS7 over－9．7dB channel loss

The receiver measurement setup is that，the TX transmits 40 Gb/s PRBS-7 with pattern generator in PHY BIST and the RX receives it and checks with pattern checker after a complex channel，which has 15．3 dB insert loss．This channel contains two double bonding wires，two connectors，6．3 CM PCB trace and a 0．5 m connecting cable．The receiver BER bathtub curves are measured with different equalization schemes after turning off the CDR．As indicated in Fig．13，at first the FFE and CTLE are both disabled，the measured BER is above 1e－6;then only the FFE isactive with the optimal equalization coefficients，which are got from the TX eye-diagram measurement，the eye opening reaches 0．18UI for BER=1e－12．At last，both the FFE and CTLE are active with optimal equalization coefficients(Voltage of the CTLE is 860 mV)，the eye opening can reach 0．41 UI for BER=1e－12．When using the user layer BIST，the BER can lower 1e－14 and the efficient bandwidth is above 38．1 Gb/s， thisis because of the protocol frame head and tail，F(xiàn)EC and 64/66 encoder consuming part bandwidth．

Fig．13 Measured receiver BER bathtub curve

The RX performance is also demonstrated by the jitter tolerance test at 28 Gb/s as shown in Fig．14，along with the CEI-25G/28G JTOL mask［19］．The measurement setup is that，the RX uses the external clock to receive the PRBS-7 data pattern generated by Tektronix BSA286C and uses the PHY BIST to checks the BER．Measured at the BER threshold of 2．5e-9，the out-of-band jitter tolerance at 100 MHz is 0．17 UI．

Fig．14 Measured receiver jitter tolerance curve at 28 Gb/s

Table 1 describes the performance comparison of transceiver．Relative to the other design，the present transceiver features a much better jitter performance and power efficiency．

Table 1 Performance summary

6 Conclusions

This paper implements a 40 Gb/s SerDes transceiver chip with controller and PHY．The TX adoptsmultiple-MUXsbased 4-tap FFE with a proposed 4∶1 MUX，and the RX employs a PI based CDR with BBPD．The measurement results show that the transceiver can achieve BER ＜ 10－12at 40 Gb/s over a 15．3 dB channel loss．