Prediction of phase noise and spurs in a nonlinear fractional-N frequency synthesizer

Integer boundary spurs appear in the passband of the loop response of fractional-N phase lock loops and are, therefore, a potentially significant component of the phase noise. In spite of measures guaranteeing spur-free modulator outputs, the interaction of the modulation noise from a divider controller with inevitable loop nonlinearities produces such spurs. This paper presents analytical predictions of the locations and amplitudes of the spurs and accompanying noise floor levels produced by interaction between a divider controller output and a PLL loop with a static nonlinearity. A key finding is that the spur locations and amplitudes can be estimated by using only the knowledge of the structure and pdf of the accumulated modulator noise and the nonlinearity. These predictions also offer new insights into why the spurs appear

Design of a 1.9 GHz low-power LFSR circuit using the Reed-Solomon algorithm for Pseudo-Random Test Pattern Generation

A linear feedback shift register (LFSR) has been frequently used in the Built-in Self-Test (BIST) designs for the pseudo-random test pattern generation. The volume of the test patterns and test power dissipation are the key features in the large complex designs. The objective of this paper is to propose a new LFSR circuit based on the proposed Reed-Solomon (RS) algorithm. The RS algorithm is created by considering the factors of the maximum length test pattern with a minimum distance over the time. Also, it has achieved an effective generation of test patterns over a stage of complexity order O (m log2 m), where m denotes the total number of message bits. We analyzed our RS LFSR mathematically using the feedback polynomial function for an area-sensitive design. However, the bit-wise stages of the proposed RS LFSR are simulated using the TSMC 130 nm IC design tool in the Mentor Graphics platform. Experimental results showed that the proposed LFSR achieved the effective pseudo-random test patterns with a low-test power dissipation (25.13 µW). Ultimately, the circuit has operated in the highest operating frequency (1.9 GHz) environment.   &nbsp

Low-Power Slew-Rate Boosting Based 12-Bit Pipeline ADC Utilizing Forecasting Technique in the Sub-ADCS

The dissertation presents architecture and circuit solutions to improve the power efficiency of high-speed 12-bit pipelined ADCs in advanced CMOS technologies. First, the 4.5bit algorithmic pipelined front-end stage is proposed. It is shown that the algorithmic pipelined ADC requires a simpler sub-ADC and shows lower sensitivity to the Multiplying DAC (MDAC) errors and smaller area and power dissipation in comparison to the conventional multi-bit per stage pipelined ADC. Also, it is shown that the algorithmic pipelined architecture is more tolerant to capacitive mismatch for the same input-referred thermal noise than the conventional multi-bit per stage architecture. To take full advantage of these properties, a modified residue curve for the pipelined ADC is proposed. This concept introduces better linearity compared with the conventional residue curve of the pipelined ADC; this approach is particularly attractive for the digitization of signals with large peak to average ratio such as OFDM coded signals. Moreover, the minimum total required transconductance for the different architectures of the 12-bit pipelined ADC are computed. This helps the pipelined ADC designers to find the most power-efficient architecture between different topologies based on the same input-referred thermal noise. By employing this calculation, the most power efficient architecture for realizing the 12-bit pipelined ADC is selected. Then, a technique for slew-rate (SR) boosting in switched-capacitor circuits is proposed in the order to be utilized in the proposed 12-bit pipelined ADC. This technique makes use of a class-B auxiliary amplifier that generates a compensating current only when high slew-rate is demanded by large input signal. The proposed architecture employs simple circuitry to detect the need of injecting current at the output load by implementing a Pre-Amp followed by a class-B amplifier, embedded with a pre-defined hysteresis, in parallel with the main amplifier to boost its slew phase. The proposed solution requires small static power since it does not need high dc-current at the output stage of the main amplifier. The proposed technique is suitable for high-speed low-power multi-bit/stage pipelined ADC applications. Both transistor-level simulations and experimental results in TSMC 40nm technology reduces the slew-time for more than 45% and shorts the 1% settling time by 28% when used in a 4.5bit/stage pipelined ADC; power consumption increases by 20%. In addition, the technique of inactivating and disconnecting of the sub-ADC’s comparators by forecasting the sign of the sampled input voltage is proposed in the order to reduce the dynamic power consumption of the sub-ADCs in the proposed 12-bit pipelined ADC. This technique reduces the total dynamic power consumption more than 46%. The implemented 12-bit pipelined ADC achieves an SNDR/SFDR of 65.9/82.3 dB at low input frequencies and a 64.1/75.5 dB near Nyquist frequency while running at 500 MS/s. The pipelined ADC prototype occupies an active area of 0.9 mm^2 and consumes 18.16 mW from a 1.1 V supply, resulting in a figure of merit (FOM) of 22.4 and a 27.7 fJ/conversion-step at low-frequency and Nyquist frequency, respectively

Low-Power Slew-Rate Boosting Based 12-Bit Pipeline ADC Utilizing Forecasting Technique in the Sub-ADCS

The dissertation presents architecture and circuit solutions to improve the power efficiency of high-speed 12-bit pipelined ADCs in advanced CMOS technologies. First, the 4.5bit algorithmic pipelined front-end stage is proposed. It is shown that the algorithmic pipelined ADC requires a simpler sub-ADC and shows lower sensitivity to the Multiplying DAC (MDAC) errors and smaller area and power dissipation in comparison to the conventional multi-bit per stage pipelined ADC. Also, it is shown that the algorithmic pipelined architecture is more tolerant to capacitive mismatch for the same input-referred thermal noise than the conventional multi-bit per stage architecture. To take full advantage of these properties, a modified residue curve for the pipelined ADC is proposed. This concept introduces better linearity compared with the conventional residue curve of the pipelined ADC; this approach is particularly attractive for the digitization of signals with large peak to average ratio such as OFDM coded signals. Moreover, the minimum total required transconductance for the different architectures of the 12-bit pipelined ADC are computed. This helps the pipelined ADC designers to find the most power-efficient architecture between different topologies based on the same input-referred thermal noise. By employing this calculation, the most power efficient architecture for realizing the 12-bit pipelined ADC is selected. Then, a technique for slew-rate (SR) boosting in switched-capacitor circuits is proposed in the order to be utilized in the proposed 12-bit pipelined ADC. This technique makes use of a class-B auxiliary amplifier that generates a compensating current only when high slew-rate is demanded by large input signal. The proposed architecture employs simple circuitry to detect the need of injecting current at the output load by implementing a Pre-Amp followed by a class-B amplifier, embedded with a pre-defined hysteresis, in parallel with the main amplifier to boost its slew phase. The proposed solution requires small static power since it does not need high dc-current at the output stage of the main amplifier. The proposed technique is suitable for high-speed low-power multi-bit/stage pipelined ADC applications. Both transistor-level simulations and experimental results in TSMC 40nm technology reduces the slew-time for more than 45% and shorts the 1% settling time by 28% when used in a 4.5bit/stage pipelined ADC; power consumption increases by 20%. In addition, the technique of inactivating and disconnecting of the sub-ADC’s comparators by forecasting the sign of the sampled input voltage is proposed in the order to reduce the dynamic power consumption of the sub-ADCs in the proposed 12-bit pipelined ADC. This technique reduces the total dynamic power consumption more than 46%. The implemented 12-bit pipelined ADC achieves an SNDR/SFDR of 65.9/82.3 dB at low input frequencies and a 64.1/75.5 dB near Nyquist frequency while running at 500 MS/s. The pipelined ADC prototype occupies an active area of 0.9 mm^2 and consumes 18.16 mW from a 1.1 V supply, resulting in a figure of merit (FOM) of 22.4 and a 27.7 fJ/conversion-step at low-frequency and Nyquist frequency, respectively

Masked dithering of MASH digital delta-sigma modulators with constant inputs using linear feedback shift registers

Digital delta-sigma modulators (DDSMs) are finite state machines; their spectra are characterized by strong periodic tones (so-called spurs) when they cycle repeatedly in time through a small number of states. This is particularly likely to happen when the input is constant or periodic. Dither generators based on linear feedback shift registers (LFSRs) are widely used to break up periodic cycles in DDSMs in order to eliminate spurs produced by underlying periodic behavior. Unfortunately, pseudorandom dither signals produced by LFSRs are themselves periodic and therefore may have limited effectiveness. This paper presents a rigorous mathematical analysis of DDSMs with LFSR-based pseudorandom dither, and a design methodology to achieve effectively masked dithering

Masked Dithering of MASH Digital Delta-Sigma Modulators with Constant Inputs Using Multiple Linear Feedback Shift Registers

The output signal of a digital delta-sigma modulator (DDSM) with a constant input may has a small fundamental period and therefore its spectrum may be characterized by a small number of strong periodic tones. Pseudorandom dither can be used to break up the tones, but it is indistinguishable from signal. The dither signal can be masked by using short sequence lengths but this may result in ineffective dithering and consequent tonal behavior. This paper shows how to use multiple shaped dither signals which are masked by the shaped quantization noise of the DDSM and yield a long fundamental output period