Wireless sensor networks has been one of the major research topics in recent years because of its great potential for a wide range of applications. In some application scenarios, sensor nodes intend to report the sensing data to a far-field destination, which cannot be realized by traditional transmission techniques. Due to the energy limitations and the hardware constraints of sensor nodes, distributed transmit beamforming is considered as an attractive candidate for long-range communications in such scenarios as it can reduce energy requirement of each sensor node and extend the communication range. However, unlike conventional beamforming, which is performed by a centralized antenna array, distributed beamforming is performed by a virtual antenna array composed of randomly located sensor nodes, each of which has an independent oscillator. Sensor nodes have to coordinate with each other and adjust their transmitting signals to collaboratively act as a distributed beamformer. The most crucial problem of realizing distributed beamforming is to achieve carrier phase alignment at the destination. This thesis will investigate distributed beamforming from both theoretical and practical aspects. First, the bit error ratio performance of distributed beamforming with phase errors is analyzed, which is a key metric to measure the system performance in practice. We derive two distinct expressions to approximate the error probability over Rayleigh fading channels corresponding to small numbers of nodes and large numbers of nodes respectively. The accuracy of both expressions is demonstrated by simulation results. The impact of phase errors on the system performance is examined for various numbers of nodes and different levels of transmit power. Second, a novel iterative algorithm is proposed to achieve carrier phase alignment at the destination in static channels, which only requires one-bit feedback from the destination. This algorithm is obtained by combining two novel schemes, both of which can greatly improve the convergence speed of phase alignment. The advantages in the convergence speed are obtained by exploiting the feedback information more efficiently compared to existing solutions. Third, the proposed phase alignment algorithm is modified to track time-varying channels. The modified algorithm has the ability to detect channel amplitude and phase changes that arise over time due to motion of the sensors or the destination. The algorithm can adjust key parameters adaptively according to the changes, which makes it more robust in practical implementation.

With the rapid advances in process technologies, the performance of state-of-the-art integrated circuits is improving steadily. The drive for higher performance is accompanied with increased emphasis on meeting timing constraints not only at the design phase but during device operation as well. Fortunately, technology advancements allow for even more precise control of the timing of digital signals, an advantage which can be used to provide solutions that can address some of the emerging timing issues. In this thesis, circuit and architectural techniques for the precise timing of digital signals are explored. These techniques are demonstrated in applications addressing timing issues in modern digital systems. A methodology for slow-speed timing characterization of high-speed pipelined datapaths is proposed. The technique uses a clock-timing circuit to create shifted versions of a slow-speed clock. These clocks control the data flow in the pipeline in the test mode. Test results show that the design provides an average timing resolution of 52.9ps in 0.18μm CMOS technology. Results also demonstrate the ability of the technique to track the performance of high-speed pipelines at a reduced clock frequency and to test the clock-timing circuit itself. In order to achieve higher resolutions than that of an inverter/buffer stage, a differential (vernier) delay line is commonly used. To allow for the design of differential delay lines with programmable delays, a digitally-controlled delay-element is proposed. The delay element is monotonic and achieves a high degree of transfer characteristics' (digital code vs. delay) linearity. Using the proposed delay element, a sub-1ps resolution is demonstrated experimentally in 0.18μm CMOS. The proposed delay element with a fixed delay step of 2ps is used to design a high-precision all-digital phase aligner. High-precision phase alignment has many applications in modern digital systems such as high-speed memory controllers, clock-deskew buffers, and delay and phase-locked loops. The design is based on a differential delay line and a variation tolerant phase detector using redundancy. Experimental results show that the phase aligner's range is from -264ps to +247ps which corresponds to an average delay step of approximately 2.43ps. For various input phase difference values, test results show that the difference is reduced to less than 2ps at the output of the phase aligner. On-chip time measurement is another application that requires precise timing. It has applications in modern automatic test equipment and on-chip characterization of jitter and skew. In order to achieve small conversion time, a flash time-to-digital converter is proposed. Mismatch between the various delay comparators limits the time measurement precision. This is demonstrated through an experiment in which a 6-bit, 2.5ps resolution flash time-to-digital converter provides an effective resolution of only 4-bits. The converter achieves a maximum conversion rate of 1.25GSa/s.

With the rapid advances in process technologies, the performance of state-of-the-art integrated circuits is improving steadily. The drive for higher performance is accompanied with increased emphasis on meeting timing constraints not only at the design phase but during device operation as well. Fortunately, technology advancements allow for even more precise control of the timing of digital signals, an advantage which can be used to provide solutions that can address some of the emerging timing issues. In this thesis, circuit and architectural techniques for the precise timing of digital signals are explored. These techniques are demonstrated in applications addressing timing issues in modern digital systems. A methodology for slow-speed timing characterization of high-speed pipelined datapaths is proposed. The technique uses a clock-timing circuit to create shifted versions of a slow-speed clock. These clocks control the data flow in the pipeline in the test mode. Test results show that the design provides an average timing resolution of 52.9ps in 0.18μm CMOS technology. Results also demonstrate the ability of the technique to track the performance of high-speed pipelines at a reduced clock frequency and to test the clock-timing circuit itself. In order to achieve higher resolutions than that of an inverter/buffer stage, a differential (vernier) delay line is commonly used. To allow for the design of differential delay lines with programmable delays, a digitally-controlled delay-element is proposed. The delay element is monotonic and achieves a high degree of transfer characteristics' (digital code vs. delay) linearity. Using the proposed delay element, a sub-1ps resolution is demonstrated experimentally in 0.18μm CMOS. The proposed delay element with a fixed delay step of 2ps is used to design a high-precision all-digital phase aligner. High-precision phase alignment has many applications in modern digital systems such as high-speed memory controllers, clock-deskew buffers, and delay and phase-locked loops. The design is based on a differential delay line and a variation tolerant phase detector using redundancy. Experimental results show that the phase aligner's range is from -264ps to +247ps which corresponds to an average delay step of approximately 2.43ps. For various input phase difference values, test results show that the difference is reduced to less than 2ps at the output of the phase aligner. On-chip time measurement is another application that requires precise timing. It has applications in modern automatic test equipment and on-chip characterization of jitter and skew. In order to achieve small conversion time, a flash time-to-digital converter is proposed. Mismatch between the various delay comparators limits the time measurement precision. This is demonstrated through an experiment in which a 6-bit, 2.5ps resolution flash time-to-digital converter provides an effective resolution of only 4-bits. The converter achieves a maximum conversion rate of 1.25GSa/s.