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52                                                                UEC Int’l Mini-Conference No.53


                                            The UEC International mini-Conference




             A 20 MHz Input Frequency 4 GHz Cascade Fractional-N PLL with Multi-Phase Multi-Frequency
             Thi Viet Ha Nguyen, Trong-Thuc Hoang, Cong-Kha Pham
             The University of Electro-Communications, Japan; vietha@vlsilab.ee.uec.ac.jp, phamck, hoangtt@uec.ac.jp.
                I. INTRODUCTION
               The growing demand for high-speed, low-noise frequency synthesizers has driven  MMFI_OUT
               innovation in Phase-Locked Loop (PLL) design, a critical component in modern wireless
               communication, radar systems, and precision instrumentation [1]. Among various  f REF  BMS  4 GHz  CLK GEN  DLL  DMD  f MAIN  Fractional  4 GHz
               architectures, Fractional-N PLLs have become the preferred solution due to their ability to  20 MHz  -N PLL  f OUT
               achieve fine frequency resolution, wide tuning ranges, and low phase noise. Unlike  MMFI_PUL
               Integer-N PLLs, Fractional-N PLLs offer fractional division ratios, enabling flexible  T REF  DSM
               frequency generation without compromising spectral performance, making them  MMFI  Main Frac-N PLL
               indispensable in advanced applications such as 5G networks, satellite communications,  f REF
               and high-speed digital systems [2-3]. This proposed architecture demonstrates significant  MMFI_PUL
               advantages over traditional Fractional-N PLLs by achieving superior phase noise  MMFI_OUT
               performance, higher spectral purity, and reduced power consumption.  f OUT
                II. DESCRIPTION                                             Fig. 1: Top architectures of MMFI fractional-N PLL.
               The proposed cascade Fractional-N Phase-Locked Loop (PLL) that is shown in Fig. 1 is  DIV-200
               an advanced frequency synthesizer capable of producing a precise 4 GHz output signal  VCO  DIV-
                                                                                                      200
               from a 20 MHz reference clock. At its core, a PLL is a feedback control system widely  f REF  PFD  CP  LP  DIV  /200  RESET
                                                                                                      DIV-
                                                                                                      100
               used in electronic circuits to generate, stabilize, and synchronize output frequencies with  CLK GEN  DIV  RESET  MMFI_PUL
               a given reference frequency. By continuously comparing the output frequency with  /100  BMS+CLK GEN
               reference, the PLLs adjusts itself maintain phase and frequency alignment, ensuring  VCO
               high stability and accuracy. This makes PLLs essential components in a wide range of  f REF Align  FD  CP  LP  MMFI_OUT
               applications, from wireless communication systems to high-speed digital electronics and  MMFI_PUL
               radar systems. The proposed design addresses key challenges of phase noise, spurious  MMFI_OUT  MMFI_PUL  PD
               tone suppression, and jitter reduction, ensuring it meets the stringent requirements of
               modern communication and processing systems. The architecture is built around four  DLL
               blocks:                                                  Fig. 2: Block diagram of BMS and MMFI pulse generator and multiplier.
               1. Bandwidth-Modulated Switching Waveform Generator (BMS-WG):  f MAIN  PFD  CP  LPF  VCO  f OUT  F OUT
               This block dynamically adjusts the loop filter bandwidth to optimize system performance.  D DFF1 Q  D DFF2 Q  D DFF3 Q  M OUT  D DFF4 Q
               During start-up or sudden frequency changes, it increases the bandwidth for faster  Dual Modulus Divider  Prescaler  QB  QB  M IN=1  QB  M C=0  QB
               locking. Once the system stabilizes, the bandwidth is narrowed to minimize noise,  f DMD  DMD  f PR  1/N  F IN
               maintaining the signal's integrity over time (Fig. 2).  d 0~d 3                             F OUT
                                                                      FA (4-bits)  D FA     D  Q  D  Q  D  Q  M OUT  D  Q
                                                                           f 0~f 3          DFF1  DFF2  DFF3  DFF4
               2. Multiphase Multi-Frequency Injection Frequency Multiplier (MMFI-FM):       QB  QB  M IN=1  QB  M C=1  QB
               The Fig. 2 shows the MMFI-FM, generates precise intermediate frequencies using  D FRAC     F IN
                                                                    s 0~s 3
               multiphase signal injection. By incorporating feedback, this block reduces quantization
               noise and improves linearity, ensuring accurate frequency multiplication and better phase  Fig 3. Block diagram of main fractional-N PLL.  Fig 4: Schematic of DMP 1-bit.
               stability.
                                                                                         s 0  s 1   s 2  s 3
                                                                  f PR                f DMD  A  A    A    A
                                                                   F IN  F OUT  F IN  F OUT  F IN  F OUT  F IN  F OUT
                                                                                          B  SUM  B  SUM  B  SUM  B  SUM
               3. Main Fractional-N Frequency Divider (Main Frac-N):  M OUT  M IN  M OUT  M IN  M OUT  M IN  M OUT  M IN       C IN  C OUT  C IN  C OUT  C IN  C OUT  C IN  C OUT
               The Main Frac-N block, depicted in Fig. 3 is the core of the system, comprising a divide-  M C  M C  M C  M C  To FA (4-bits)
                                                                                                           C OUT
                                                                    d 0  d 1  d 2  d 3
               by-4 prescaler, a programmable multi-modulus divider (MMD) shown in Figs. 4 and Fig. 5,  Q DFF1 D  Q DFF2 D  Q DFF3 D  Q DFF4 D
               and a 4-bit full adder (FA). These components work together to provide highly flexible  Fig 5: Schematic of DMP 4-bit.
                                                                                          F DMD
               division ratios, enabling the system to generate fractional frequencies critical for  V OUT_PFD  V OUT_LP
               achieving precise outputs.                                V B1  M 1  M 2  V B1 M 3  M 4
                                                                           V SS  V SS      CLOCK DISTRIBUTION
               4. Digital Sigma-Delta Modulator (DSM):
               The DSM is illustrated in Fig. 7 that refines the fractional division process by dynamically  Fig 6. Schematic of LPF.  Fig 7. Schematic of  in main fractional-N PLL.
               modulating the divisor. This ensures high-frequency resolution and suppresses unwanted
               spurious tones, resulting in exceptional spectral purity, a crucial factor for wireless and  Power Supply
               communication systems.
                                                                         V BIAS
               The system, designed and simulated in a 180nm CMOS process using Cadence Virtuoso,  V OS1  Bias Controlled   Oscillator   PWM   f VCO
                                                                         V OS2  Current Circuit    V VCT  Circuit  Circuit
               achieves a stable and precise 4 GHz output with low phase noise and minimal spurious  V OS3
               tones. Leveraging a 20 MHz reference frequency, a 1.6 GHz Voltage-Controlled
               Oscillator (VCO) (Fig. 8), and a 10 MHz loop filter bandwidth is shown in Fig. 6, the  Fig 8. VCO block diagram in main fractional-N PLL.
               proposed architecture sets a benchmark for high-performance fractional-N PLL designs,
               combining reliability, scalability, and adaptability for various real-world applications.
               Acknowledgement
              The VLSI chip in this study was fabricated in the chip fabrication program of VLSI Design and Education Center (VDEC), the University of Tokyo, with the collaboration
              of Rohm Corporation and Toppan Printing Corporation.
               References
              [1] G. Vlachogiannakis et al., “A self-calibrated fractional-N PLL for WiFi 6/802.11ax in 28nm FDSOI CMOS,” in Proc. IEEE Eur. Solid State Circuits Conf., pp. 105–108,
              Sep. 2019.
              [2] D. Park and S. Cho, “A 14.2 mW 2.55-to-3 GHz cascaded PLL with reference injection and 800 MHz delta-sigma modulator in 0.13µm CMOS,” IEEE J. Solid-State
              Circuits, vol. 47, no. 12, pp. 2989–2998, Dec. 2012.
              [3] L. Kong and B. Razavi, “A 2.4-GHz 6.4-mW fractional-N inductorless RF synthesizer,” IEEE J. Solid-State Circuits, vol. 52, no. 8, pp. 2117–2127, Aug. 2017.
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