This dissertation presents a 2.4 GHz wideband GFSK-modulated frequency synthesizer using two-point delta-sigma modulation (TPDSM). The two bottlenecks in this design have been rigorously investigated. One bottleneck is the nonlinear performance of the phase-locked loop (PLL). The other one is the inherent gain and delay mismatch between the two modulation points. Both nonlinear and mismatch factors dominate the modulation accuracy in the closed PLL. The proposed formulation can successfully predict the dependencies of the modulation accuracy on both factors. The comparison of the averaged frequency deviation and frequency-shift -keying (FSK) error between theory and measurement shows excellent agreement. The modulated frequency synthesizer implemented in this study can achieve a 2.5 Mbps data rate as well as a 15 £gs PLL stable time with only 2.2 % FSK error under good design and operating conditions.

This thesis establishes a quantization noise model of a delta-sigma modulator (DSM), which is utilized to estimate the phase noise performance of a fractional-N frequency synthesizer. In delta-sigma modulator structures, we choose multi-stage noise shaping (MASH) and single-loop structure for investigating the advantages and disadvantages. We have implemented a 3rd order single-loop and a 3rd order MASH DSM by using Verilog codes and a Xilinx field-programmable gate-array (FPGA). With a reference frequency of 12MHz, the fractional-N frequency synthesizer has an output frequency band of 2400~2500MHz, and a frequency resolution of 183 Hz. The measured phase noise is lower than -54 dBc/Hz at 10 kHz offset frequency. The PLL settling time is less than 29us with a 48 MHz frequency hopping.

Abstract¡G For the fractional-N frequency synthesizers using delta-sigma modulation techniques, the noise source dominant to degrade the spectral purity comes from phase intermodulation of quantization noise due to the PLL nonlinearity. To study and improve the PLL nonlinearity effect, this thesis applies the theory of white quantization noise and nonlinear analysis method to simulate the frequency responses of quantization noises in delta-sigma modulators (DSM) with different order and in various architecture. With the help of Agilent EEsof¡¦s ADS tool, the phase noise performance of the studied fractional-N frequency synthesizers can be well predicted. For demonstration, this thesis work implements a 2.4 GHz fractional-N frequency synthesizer hybrid module, and measures the phase noise under considering various combinations of DSM order and architecture, PLL bandwidth and reference frequency. Another demonstration of this thesis is to implement a PLL IC using 0.18 £gm CMOS process. The implemented PLL IC operates in the frequency range from 2120 to 2380 MHz with a supply voltage of 1.8 V and a current consumption of 27 mA. Under the test condition of reference frequency and PLL bandwidth equal to 20 MHz and 50 kHz, respectively, the measured phase noise is 90 dBc/Hz at an offset frequency of 100 kHz and the measured stable time is about 40 £gs for a frequency jump of 80MHz.

This thesis presents a low power consumption, low phase noise, and fast locking CMOS fractional-N frequency synthesizer with optimalied voltage-controlled oscillator. The frequency synthesizer is designed in a TSMC 0.18£gm CMOS 1P6M technology process. It can be used for IEEE 802.16e mobile Wimax¡¦s devices and outputing frequency is ranged from 2.3GHz to 2.45GHz for the local oscillator in RF front-end circuits. The proposed frequency synthesizer consists of a phase-frequency detector (PFD), a charge pump (CP), a low-pass loop filter (LPF), a voltage-controlled oscillator (VCO), a multi-modulus divider, and a delta-sigma modulator (DSM). In system design, two voltage-controlled oscillators we presented to achieve low power consumption, low phase noise, and stable output swing. Delta-sigma modulator (DSM) is adopted to produce high frequency resolution, switching over frequency fast and very low phase noise. This thesis proposes a switch circuit which can reduce the lock of time of synthesizer. In the mean time it also reduces the emergence of lose lock.

<p>This work presents the design and implementation of a decimation filter for a three bits sigma delta analog to digital converter. The input is audio with a oversampling ratio of 32. Filter optimization and tradeoffs concerning the design is described. The filter is a multistage filter consisting of two cascaded FIR filters. The arithmetic unit is a multi-precision unit that can handle three or 24 bits MAC operations. The designed decimation filter is synthesized on standard cells of a 0.13 μm CMOS library.</p>

Dissertation (Ph.D.)--Auburn University,2006. / Abstract. Vita. Includes bibliographic references (p.110-113).

Background: The task of this thesis is to investigate the possibility of using non-linear high efficiency switching power amplifiers with spectrally efficient varying envelope modulation schemes and, if possible, further investigate such a solution on a high level. The thesis focuses on the theory necessary to understand the technical issues related to power amplifiers and the procedures behind simulating and measuring the characteristics of different power amplifier configurations. The thesis also covers basic theory behind Delta-Sigma-modulators. The theory is needed to draw conclusions about the feasibility of using a Delta-Sigma-modulator as input to a switching amplifier. Results: Using a Delta-Sigma-modulated input to a switching amplifier inherently degrades the performance, mainly because of poor coding efficiency and high switching activity. However, by merely using a switching amplifier as a mixer it is shown to be possible to transmit a non-constant envelope signal, with digital logic. The resulting circuit is, however, not an amplifier and it should not be seen as the final result. As already mentioned: the result lies in the investigation of a using Delta-Sigma-modulator as input to a switching amplifier. Conclusion: From this investigation we believe that the widely known technique: pulse width modulation (PWM), together with a tuned switching amplifier and some linearization technique, for example pre-distortion, is a better way to go. Much effort should be put in understanding the fundamental limits and possibilities of an efficient tuned switching power amplifier.

This work presents the design and implementation of a decimation filter for a three bits sigma delta analog to digital converter. The input is audio with a oversampling ratio of 32. Filter optimization and tradeoffs concerning the design is described. The filter is a multistage filter consisting of two cascaded FIR filters. The arithmetic unit is a multi-precision unit that can handle three or 24 bits MAC operations. The designed decimation filter is synthesized on standard cells of a 0.13 μm CMOS library.

Thesis--Auburn University, 2006. / Abstract. Includes bibliographic references (p.78-80).

Abstract Digital delta-sigma modulators are used in a broad range of modern electronic sub-systems, including oversampled digital-to-analogue converters, class-D amplifiers and fractional-N frequency synthesizers. This work addresses a well known problem of unwanted spurious tones in the modulator’s output spectrum. When a delta-sigma modulator works with a constant input, the output signal can be periodic, where short periods lead to strong deterministic tones. In this work we propose means for guaranteeing that the output period will never be shorter than a prescribed minimum value for all constant inputs. This allows a relationship to be formulated between the modulator’s bus width and the spurious-free range, thereby making it possible to trade output spectrum quality for hardware consumption. The second problem addressed in this thesis is related to the finite accuracy of frequencies generated in delta-sigma fractional-N frequency synthesis. The synthesized frequencies are usually approximated with an accuracy that is dependent on the modulator’s bus width. We propose a solution which allows frequencies to be generated exactly and removes the problem of a constant phase drift. This solution, which is applicable to a broad range of digital delta-sigma modulator architectures, replaces the traditionally used truncation quantizer with a variable modulus quantizer. The modulus, provided by a separate input, defines the denominator of the rational output mean. The thesis concludes with a practical example of a delta-sigma modulator used in a fractional-N frequency synthesizer designed to meet the strict accuracy requirements of a GSM base station transceiver. Here we optimize and compare a traditional modulator and a variable modulus design in order to minimize hardware consumption. The example illustrates the use made of the relationship between the spurious-free range and the modulator’s bus width, and the practical use of the variable modulus functionality.