This article introduces a low-jitter low-spur fractional-N phase-locked loop (PLL) adopting a new concept of a time-mode arithmetic unit (TAU) for phase error extraction. The TAU is a time-signal processor that calculates the weighted sum of input time offsets. It processes two inputs - the period of a digitally controlled oscillator (DCO) and the instantaneous time offset between the DCO and reference clock edges - and then extracts the DCO phase error by calculating their weighted sum. The prototype, implemented in 40-nm CMOS, achieves 182-fs rms jitter with 3.5-mW power consumption. In a near-integer channel, it shows the worst fractional spur below -59 dBc. Under considerable supply or temperature variations, the worst spur still remains below -51.7 dBc without any background calibration tracking.@en

This paper proposes a mm-wave frequency generation technique that improves its phase noise (PN) performance and power efficiency. The main idea is that a fundamental 20 GHz signal and its sufficiently strong third harmonic at 60 GHz are generated simultaneously in a single oscillator. The desired 60 GHz local oscillator (LO) signal is delivered to the output, whereas the 20 GHz signal can be fed back for phase detection in a phase-locked loop. Third-harmonic boosting and extraction techniques are proposed and applied to the frequency generator. A prototype of the proposed frequency generator is implemented in digital 40 nm CMOS. It exhibits a PN of -100 dBc/Hz at 1 MHz offset from 57.8 GHz and provides 25% frequency tuning range (TR). The achieved figure-of-merit (FoM) is between 179 and 182 dBc/Hz.@en

This paper presents a digitally controlled frequency generator for dual frequency-band radar system that is optimized for 16 nm FinFET CMOS. It is based on a 21% wide tuning range,fine-resolution DCO with only switchable metal capacitors. A third-harmonic boosting DCO simultaneously generates 22.5-28 GHz and sufficiently strong 68-84 GHz signals to satisfy short-range radar (SRR) and medium/long range radar (M/LRR) requirements. The 20.2 mW DCO emits -97 dBc/Hz at 1 MHz offset from 77 GHz,while fully satisfying metal density rules. It occupies 0.07 mm2,thus demonstrating both 43% power and 47% area reductions. The phase noise and FoMT (figure-of-merit with tuning range) are improved by 1.8 dB and 0.2 dB,respectively,compared to state-of-the-art.@en

In this paper, we propose a method to suppress supply pushing of an LC oscillator such that it may directly operate from a switched-mode dc-dc converter generating fairly large ripples. A ripple replication block (RRB) generates an amplified ripple replica at the gate terminal of the tail current source to stabilize the oscillator's tail current and thus its oscillating amplitude. The parasitic capacitance of the active devices and correspondingly the oscillation frequency are stabilized in turn. A calibration loop is also integrated on-chip to automatically set the optimum replication gain that minimizes the variation of the oscillation amplitude. A 4.9-5.6-GHz oscillator is realized in 40-nm CMOS and occupies 0.23 mm? while consuming 0.8-1.3 mW across the tuning range (TR). The supply pushing is improved to <1 MHz/V resulting in a low <-49-dBc spur due to 0.5-12-MHz sinusoidal supply ripples as large as 50 mVpp. We experimentally verify the effectiveness of the proposed technique also in face of saw-tooth, multi-tone, and modulated supply ripples.@en

This article proposes a power-efficient highly linear capacitor-array-based digital-to-time converter (DTC) using a charge redistribution constant-slope approach. A fringe-capacitor-based digital-to-analog converter (C-DAC) array is used to regulate the starting supply voltage of the constant discharging slope fed to a fixed-threshold comparator. The DTC operation mechanism is analyzed and design tradeoffs are investigated. The proposed DTC consumes merely 31 μW from a 1-V supply when clocked at 40 MHz, while achieving a fine resolution of 148 fs over a 9-bit range. The measured differential nonlinearity (DNL) and integral nonlinearity (INL) are 0.96/1.07 LSB.@en

In this paper, we propose a 60-GHz fractional-N digital frequency synthesizer aimed at reducing its phase noise (PN) at both the flicker (1/f 3 ) and thermal (1/f 2 ) regions while minimizing its power consumption. The digitally controlled oscillator (DCO) fundamentally resonates at 20 GHz and co-generates a strong third harmonic at 60 GHz which is extracted to the output while canceling the 20-GHz fundamental. The latter component is fed back to the frequency dividers in an all-digital phase-locked loop for phase detection, which comprises a pair of digital-to-time and time-to-digital converters with dithering to attenuate fractional spurs. The mechanism of flicker noise upconversion to 1/f 3 PN in the DCO is investigated, and a reduction technique is proposed. The 28-nm CMOS prototype achieves 213-277-fs rms jitter in the 57.5-67.2-GHz tuning range while consuming only 40 mW. The DCO flicker PN corner is record low at 300-400 kHz. @en

This paper proposes a power-efficient capacitor-array-based digital-to-time converter (DTC) using a constant-slope approach. Fringe-capacitor-based digital-to-analog converter (C-DAC) array is used to regulate starting supply voltage of the constant slope fed to a fixed threshold comparator. The proposed DTC consumes only 15 μW from a 1V supply, while achieving fine resolution of 103 fs when running at 40 MHz. The measured INL and DNL are 0.73/0.35 LSB within a 5-bit range. The DTC achieves the best figure-of-merit of 8.5 fJ among state-of-the-art when normalizing the product of power and INL to the product of input frequency and range.@en

This paper proposes a power-efficient capacitor-array-based digital-to-time converter (DTC) using a constant-slope approach. Fringe-capacitor-based digital-to-analog converter (C-DAC) array is used to regulate starting supply voltage of the constant slope fed to a fixed threshold comparator. The proposed DTC consumes only 15 μW from a 1V supply, while achieving fine resolution of 103 fs when running at 40 MHz. The measured INL and DNL are 0.73/0.35 LSB within a 5-bit range. The DTC achieves the best figure-of-merit of 8.5 fJ among state-of-the-art when normalizing the product of power and INL to the product of input frequency and range.@en

Subharmonic residual in LO can degrade the performance of RF/mm-wave transceivers that employ frequency multipliers for LO generation. In this paper, we analyze the side effects that such subharmonics can cause. The effects are categorized to three parts: distortions in the up/down-converted signal, out-of-band emissions, and blocker tolerance in the receivers. A 60 GHz direct-conversion transceiver with a frequency tripler is taken for analysis. It is proved that there is no distortion or out-of-band emission issue with the presence of subharmonic in LO. For normal blocker tolerance requirements, the intrinsic subharmonic rejection capability in frequency multipliers is sufficient. In extreme cases, extra subharmonic filtering/rejection is needed.@en

Millimeter-wave (mm-wave) frequency synthesizers in complementary metal oxide-semiconductor (CMOS) suffer from poor phase noise (PN), limited tuning range (TR) and high-power consumption. They are the key subsystems that typically limit the performance of mm-wave transceivers. This chapter presents a new architecture for mm-wave frequency synthesis that improves its PN performance and power efficiency. Various different techniques are introduced and demonstrated in a 60-GHz fractional-N all-digital phase-locked loop (ADPLL).@en

In a fractional-N PLL, it is beneficial to minimize the input range of its phase detector (PD) as it promotes better linearity and higher PD gain for suppressing noise contributions of the following loop components. This can be done by canceling the predicted instantaneous time offset between the frequency reference (FREF) and the variable oscillator-clock (CKV) edges prior to the PD. There are currently two main cancellation strategies. The first is to align FREF and CKV by inserting a digital-to-time converter (DTC) on either path. However, due to the DTC nonlinearity and its susceptibility to PVT variations, the PLL can suffer from large fractional spurs. Although system-level techniques, e.g., background calibration [1], supply ripple reduction [2], and DTC code randomization [3], can partially alleviate these DTC issues, the overall system complexity worsens. The second method is to convert and cancel the predicted time offset in the voltage domain [4]. This arrangement is less sensitive to PVT variations. However, the accuracy of the time-to-voltage conversion relies on the strict trade-offs between the power consumption, noise, and linearity of a current source. In this work, we introduce a third solution based on a time-mode arithmetic unit (TAU), which outputs a weighted sum of time delays between the (falling) edges of FREF and CKV, as well as between two consecutive CKV edges. Compared with DTC-based solutions, it is less sensitive to PVT variations, as its output merely varies by the ratio of RC time constants, thus ensuring low fractional spurs with no extra system complexity. Compared to the voltage-domain solutions, the absence of a current source is beneficial for phase-noise optimization and migration to more advanced technology nodes. Moreover, TAU can implicitly provide a time-amplification (TA) gain, thus further suppressing the noise of subsequent blocks.@en

This thesis focuses on improving the phase noise and power efficiency of millimeter-wave (mm-wave) frequency synthesizers in nanometer CMOS. The mm-wave frequency spectrum is widely adopted in various upcoming volume commercial wireless applications. These new applications provide more interconnection between the physical and digital worlds. It entails a demand for high speed data communications and accurate object sensing, which are enabled by the large bandwidth available at mm-wave frequencies. These systems also require good signal-to-noise ratio (SNR) on mm-wave transceivers. It sets stringent phase noise specifications on the mm-wave frequency synthesizers. On the other hand, the power budget on the mm-wave frequency synthesizers are limited for long battery lifetime and/or thermal reliability. The low phase noise should be achieved at high power efficiency. Advanced nanometer CMOS technologies are preferred for the integration of mm-wave frequency synthesizers. The scaled transistor size favors the cointegration with baseband circuits and large-scale SoCs. The upgrowing speed of the MOSFETs also extends the upper limits on the operating frequency of the CMOS circuits. On the other hand, the performance of mm-wave frequency synthesizers suffers from various constraints and imperfections in nanometer CMOS technologies. For example, the mm-wave oscillators is inferior in phase noise due to the low quality-factor LC tank and exacerbated flicker noise upconversion. Mm-wave frequency dividers/multipliers are power hungry and limit the power efficiency of the frequency synthesizers. There is a clear gap in performance between mm-wave and RF frequency synthesizers.@en