Multi-Loop-Ring-Oscillator Design and Analysis for Sub-Micron CMOS

Ring oscillators provide a central role in timing circuits for today?s mobile devices and desktop computers. Increased integration in these devices exacerbates switching noise on the supply, necessitating improved supply resilience. Furthermore, reduced voltage headroom in submicron technologies limits the number of stacked transistors available in a delay cell. Hence, conventional single-loop oscillators offer relatively few design options to achieve desired specifications, such as supply rejection. Existing state-of-the-art supply-rejection- enhancement methods include actively regulating the supply with an LDO, employing a fully differential or current-starved delay cell, using a hi-Z voltage-to-current converter, or compensating/calibrating the delay cell. Multiloop ring oscillators (MROs) offer an additional solution because by employing a more complex ring-connection structure and associated delay cell, the designer obtains an additional degree of freedom to meet the desired specifications. Designing these more complex multiloop structures to start reliably and achieve the desired performance requires a systematic analysis procedure, which we attack on two fronts: (1) a generalized delay-cell viewpoint of the MRO structure to assist in both analysis and circuit layout, and (2) a survey of phase-noise analysis to provide a bank of methods to analyze MRO phase noise. We distill the salient phase-noise-analysis concepts/key equations previously developed to facilitate MRO and other non-conventional oscillator analysis. Furthermore, our proposed analysis framework demonstrates that all these methods boil down to obtaining three things: (1) noise modulation function (NMF), (2) noise transfer function (NTF), and (3) current-controlled-oscillator gain (KICO). As a case study, we detail the design, analysis, and measurement of a proposed multiloop ring oscillator structure that provides improved power-supply isolation (more than 20dB increase in supply rejection over a conventional-oscillator control case fabricated on the same test chip). Applying our general multi-loop-oscillator framework to this proposed MRO circuit leads both to design-oriented expressions for the oscillation frequency and supply rejection as well as to an efficient layout technique facilitating cross-coupling for improved quadrature accuracy and systematic, substantially simplified layout effort

Virtual damping and Einstein relation in oscillators

This paper presents a new physical theory of oscillator phase noise. Built around the concept of phase diffusion, this work bridges the fundamental physics of noise and existing oscillator phase-noise theories. The virtual damping of an ensemble of oscillators is introduced as a measure of phase noise. The explanation of linewidth compression through virtual damping provides a unified view of resonators and oscillators. The direct correspondence between phase noise and the Einstein relation is demonstrated, which reveals the underlying physics of phase noise. The validity of the new approach is confirmed by consistent experimental agreement

Multi-Loop-Ring-Oscillator Design and Analysis for Sub-Micron CMOS

Ring oscillators provide a central role in timing circuits for today?s mobile devices and desktop computers. Increased integration in these devices exacerbates switching noise on the supply, necessitating improved supply resilience. Furthermore, reduced voltage headroom in submicron technologies limits the number of stacked transistors available in a delay cell. Hence, conventional single-loop oscillators offer relatively few design options to achieve desired specifications, such as supply rejection. Existing state-of-the-art supply-rejection- enhancement methods include actively regulating the supply with an LDO, employing a fully differential or current-starved delay cell, using a hi-Z voltage-to-current converter, or compensating/calibrating the delay cell. Multiloop ring oscillators (MROs) offer an additional solution because by employing a more complex ring-connection structure and associated delay cell, the designer obtains an additional degree of freedom to meet the desired specifications. Designing these more complex multiloop structures to start reliably and achieve the desired performance requires a systematic analysis procedure, which we attack on two fronts: (1) a generalized delay-cell viewpoint of the MRO structure to assist in both analysis and circuit layout, and (2) a survey of phase-noise analysis to provide a bank of methods to analyze MRO phase noise. We distill the salient phase-noise-analysis concepts/key equations previously developed to facilitate MRO and other non-conventional oscillator analysis. Furthermore, our proposed analysis framework demonstrates that all these methods boil down to obtaining three things: (1) noise modulation function (NMF), (2) noise transfer function (NTF), and (3) current-controlled-oscillator gain (KICO). As a case study, we detail the design, analysis, and measurement of a proposed multiloop ring oscillator structure that provides improved power-supply isolation (more than 20dB increase in supply rejection over a conventional-oscillator control case fabricated on the same test chip). Applying our general multi-loop-oscillator framework to this proposed MRO circuit leads both to design-oriented expressions for the oscillation frequency and supply rejection as well as to an efficient layout technique facilitating cross-coupling for improved quadrature accuracy and systematic, substantially simplified layout effort

The Complex World of Oscillator Noise: Modern Approaches to Oscillator (Phase and Amplitude) Noise Analysis

The study of fluctuations in oscillators has been a classical research topic in mathematics, physics, and engineering since the first half of the 20th century [1]-[4]. Besides the intellectual fascination for mathematically difficult problems, the importance of the topic is deeply rooted in practical applications, mainly in the fields of RF and microwave electronics and also telecommunications. In fact, defining a precise frequency reference is fundamental for many applications, both electrical (e.g., transmitters and receivers) and optical (e.g., lasers). The broadening of the generated spectral line is mainly due to the phase-noise component of oscillator fluctuations, which consequently is the most commonly studied feature of oscillator noise (see [5] for a recent and exhaustive review). In a dual perspective, the definition of a precise time reference is also extremely important for digital applications, thus implying the necessity to keep under control the time jitter in clocked and in sampled systems. From a theoretical standpoint, phase noise and time jitter are simply two sides of the same coin, a manifestation of the oscillator's noisy behavior. As the microwave engineer is more often interested in the phase-noise characterization, we discuss only the latter. The time-jitter estimation is discussed, for instance, in [6]

Low jitter phase-locked loop clock synthesis with wide locking range

The fast growing demand of wireless and high speed data communications has driven efforts to increase the levels of integration in many communications applications. Phase noise and timing jitter are important design considerations for these communications applications. The desire for highly complex levels of integration using low cost CMOS technologies works against the minimization of timing jitter and phase noise for communications systems which employ a phase-locked loop for frequency and clock synthesis with on-chip VCO. This dictates an integrated CMOS implementation of the VCO with very low phase noise performance. The ring oscillator VCOs based on differential delay cell chains have been used successfully in communications applications, but thermal noise induced phase noise have to be minimized in order not to limit their applicability to some applications which impose stringent timing jitter and phase noise requirements on the PLL clock synthesizer. Obtaining lower timing jitter and phase noise at the PLL output also requires the minimization of noise in critical circuit design blocks as well as the optimization of the loop bandwidth of the PLL. In this dissertation the fundamental performance limits of CMOS PLL clock synthesizers based on ring oscillator VCOs are investigated. The effect of flicker and thermal noise in MOS transistors on timing jitter and phase noise are explored, with particular emphasis on source coupled NMOS differential delay cells with symmetric load elements. Several new circuit architectures are employed for the charge pump circuit and phase-frequency detector (PFD) to minimize the timing jitter due to the finite dead zone in the PFD and the current mismatch in the charge pump circuit. The selection of the optimum PLL loop bandwidth is critical in determining the phase noise performance at the PLL output. The optimum loop bandwidth and the phase noise performance of the PLL is determined using behavioral simulations. These results are compared with transistor level simulated results and experimental results for the PLL clock synthesizer fabricated in a 0.35 µm CMOS technology with good agreement. To demonstrate the proposed concept, a fully integrated CMOS PLL clock synthesizer utilizing integer-N frequency multiplier technique to synthesize several clock signals in the range of 20-400 MHz with low phase noise was designed. Implemented in a standard 0.35-µm N-well CMOS process technology, the PLL achieves a period jitter of 6.5-ps (rms) and 38-ps (peak-to-peak) at 216 MHz with a phase noise of -120 dBc/Hz at frequency offsets above 10 KHz. The specific research contributions of this work include (1) proposing, designing, and implementing a new charge pump circuit architecture that matches current levels and therefore minimizes one source of phase noise due to fluctuations in the control voltage of the VCO, (2) an improved phase-frequency detector architecture which has improved characteristics in lock condition, (3) an improved ring oscillator VCO with excellent thermal noise induced phase noise characteristics, (4) the application of selfbiased techniques together with fixed bias to CMOS low phase noise PLL clock synthesizer for digital video communications ,and (5) an analytical model that describes the phase noise performance of the proposed VCO and PLL clock synthesizer