In this dissertation, we present analytical and experimental investigations of the electrically actuated micro resonators, when using multi-frequency and/or multi-mode excitation, combined with partial electrodes. We aim to understand their interesting frequency performance and use it to improve the sensing and actuation in microelectromechanical systems (MEMS) and explore their potential applications, such as amplification, gas sensing, magnetometer, multi-physical sensors, and digital-to-analog converters. In the first part, we propose a method of the multi-mode excitation (MME). The concept of the multi-mode excitation is demonstrated by utilizing the superposition principle of two vibration modes in the same phase. To fully understand the difference between the single source excitation (SSE) and multi-mode excitation, we derive the dynamic equations of motions of the electrically-actuated micro cantilever beam and clamped-clamped beam actuated by single/multi-mode excitation. Then, we analytically solve the equations based on the procedure of the Galerkin method with five modes. The simulated results indicate that the MME is clearly superior to that of the SSE, as it can amplify the amplitude performance and signal-to-noise ratio of micro resonators. In the second part, we aim to experimentally prove the concept of the multi-mode excitation and explore its use for gas sensing applications. First, we experimentally investigate the performance of MEMS resonators by single source excitation and multi-mode excitation. We prove the feasibility of the MME approach in enhancing the higher-order mode response for both cantilever and clamped-clamped beams, respectively. We prove that the multi-mode excitation approach provides a better way to activate the higher-order modes with an improved amplitude under a small actuation compared to using a single-source excitation. We then show an improved performance for gas detection. In the third and fourth parts, we propose a technique based on multi-mode excitation for simultaneous sensing for two physical parameters: magnetic field and gas concentration. We respectively investigate a single out-of-plane/in-plane device for in-plane/out-of-plane magnetic field and gas concentration sensing based on tracking the first two vibration modes of a heated buckled micro-beam. We found that operating the resonator at the post-buckling regime, the magnetometer is gas-independent since the first antisymmetric mode (f2) is unaffected by the thermal axial load. Based on it, we utilized the first resonance frequency f1 to detect the gas based on the cooling/heating effects while the second resonance frequency f2 to sense the in-plane/out-of-plane magnetic field. The obtained results demonstrated the sensor acts as a magnetometer and gas sensor, showing good sensitivity, linearity and repeatability. Thus, this technique provides a good candidate for multi-environment monitoring applications. In the last part, we aim to investigate the effects of partial electrodes actuation on the micro resonator and explore its application on the digital-to-analog converter. We analytically and experimentally present modeling, investigation, validation, and optimization of the MEMS resonator-based 3-bit digital to analog converter (DAC) consisting of an in-plane clamped-clamped beam actuated by partial electrodes with different air gaps. The results suggest that the proposed modeling, simulations, and optimization analysis could be successfully implemented in the design of the DAC under various digital combinations. The rich nonlinear behavior with low energy consumption could provide some high potential applications in IoT, such as logic, computation, sensing, and actuation.

No / A proposed method for cancelling or reducing the effect of the transmitted power within the transceiver MIMO unit is investigated and discussed using a feedback signal process between the elements. Several parameters including the level of feedback power mismatch, the transmitted power and the received power are considered in this work to test the performance of the system in term of the bit error rate (BER) versus signal to noise ratio (SNR). A new software programme using MATLAB is implemented to evaluate the proposed method. The results showed that the performances of the system are heavily dependent on the amount of the transmitted power, the received power, and the mismatch in the feedback component.

Although the finite impulse response (FIR) Adaptive Line Enhancer (ALE) was developed in 1975 and has been used in a host of applications, no comprehensive performance analysis has been performed for this method, meaning no general equation exists for its signal-to-noise ratio (SNR) gain. Such an equation would provide practitioners an avenue for determining the amount of noise reduction the ALE provides for a particular application and would add to the general knowledge of adaptive filtering. Based on this motivation, this work derives the general equation for the FIR ALE SNR gain and verifies the equation through computer simulation, under the following assumptions: (1) A simplified Least Mean Squares (LMS) method is used for updating the embedded adaptive filter located within the ALE, (2) The received signal (i.e. the input signal to the ALE) is a summation of sinusoids buried in additive zero-mean white-Gaussian noise (AWGN), (3) The received signal is oversampled (i.e. the sampling rate is larger than the Nyquist rate), and (4) The ALE filter length is an integer multiple of the number of samples within one fundamental period of the original, noiseless signal.

No / Multi-antenna(MIMO) techniques are reported to improve the performance of radio communication systems in terms of their capacity and spectral efficiency. In combination with appropriate receiver technologies they can also provide savings in the required transmit power with respect to target bit error rate. Long Term Evolution(LTE), one of the candidates for fourth generation(4G) mobile communication systems has MIMO as one of its underlying technologies and ITU defined channel models for its propagating environment. This paper undertakes a comprehensive verification of the performance of transmit diversity MIMO in the downlink sector of LTE. It uses models built using MATLAB to carry out simulations. It is deduced that generally increasing transmit diversity configuration from 2x2 to 4x4 offers SNR savings in flat fading channels though with a user equipment moving at 30km/hr, deploying 2x2 offers higher SNR saving below 7dB. Furthermore bandwidth variation has minimal effect on the BER performance of transmit MIMO except at SNR values above 9dB while the gains of higher modulation schemes come with a transmit power penalty.

No / Two training schemes namely the orthogonal pilot scheme (OPS) and the superimposed pilot scheme (SPS) are compared in terms of achievable rates in multiple-antenna fading channels with memory. For both schemes, we show that the achievable rate depends on the number of antennas, signal-to-noise ratio (SNR) and fading speed via the channel estimation error variance and the fraction of time for data transmission. To guarantee positive achievable rates, we show that for the OPS the number of transmit antennas that can be accommodated is limited by the fading speed whereas for the SPS the number of antennas can be arbitrary. For most antenna configurations, we observe that while the SPS is superior in the low-SNR and fastfading regimes, the OPS is superior in other regimes. However, for a few number of antennas (e.g., single antenna), the SPS may also be superior in the low-SNR and slow-fading regimes.

Islanding occurs when a connected load to the grid is disconnected from the grid and energized solely by local generators. Islanding can result in frequency and voltage instability, changes in current, and overall poor power quality. Poor power quality can interrupt industrial operations, damage sensitive electrical equipment, and induce outages upon the resynchronization of the island with the grid. This study proposes an islanding detection method employing Duffing oscillators to analyze fluctuations at the point of common coupling (PCC) under a high-noise environment, focusing on decreasing detection period, zero power mismatch nondetection zone, and power quality degradation. Unlike existing methods, which overlook the noise effect, this study mitigates noise impact on islanding detection. Power system noise in PCC measurements arises from switching transients, harmonics, grounding issues, voltage sags, voltage swells, electromagnetic interference, and power quality issues that affect islanding detection. Transient events, like lightning-induced traveling waves can also introduce noise levels exceeding the voltage amplitude, disturbing conventional detection techniques~cite{IEEE1313}. The noise interferes with measurements and increases the nondetection zone (NDZ), causing failed or delayed islanding detection. Duffing oscillator nonlinear dynamics enable detection capabilities at a high noise level. The proposed methods are designed to detect the PCC measurement fluctuations based on the IEEE standard 1547 through the Duffing oscillator. The basic idea is that the Duffing oscillator phase trajectory changes from periodic to chaotic mode and sends an islanded operation command to the inverter. The proposed islanding detection method can distinguish switching transients and faults from an islanded operation. / Master of Science / This study introduces a method to detect one of the important power grid issues, called islanding. Islanding occurs when a power grid section becomes isolated and continues to operate independently, leading to power quality problems and safety hazards. The method is developed using a Duffing oscillator that can detect special signals under a high-noise environment. The proposed method monitors electrical characteristics for islanding detection, including frequency, phase angle, and voltage amplitude. The method can quickly and accurately identify when an islanded operation occurs by analyzing these signals. This method combines the advantages of passive and active detection methods while avoiding common drawbacks, such as failed and delayed detection and power quality degradation. The proposed method is tested on a setup and meets IEEE standard 1547 criteria for safety and performance. The method is important because it detects islanded operations in a high-noise environment when the other methods cannot detect islanded operations correctly. The method maintains accuracy with decreased power quality degradation in noise. This method is a cost-effective solution for modern power grids increasingly integrating renewable energy resources.

Opportunistic selection and rate adaptation play a vital role in improving the spectral and power efficiency of current multi-node wireless systems. However, time-variations in wireless channels affect the performance of opportunistic selection and rate-adaptation in the following ways. Firstly, the selected node can become sub-optimal by the time data transmission commences. Secondly, the choice of transmission parameters such as rate and power for the selected node become sub-optimal. Lastly, the channel changes during data transmission. In this thesis, we develop a comprehensive and tractable analytical framework that accurately accounts for these effects. It differs from the extensive existing literature that primarily focuses on time-variations until the data transmission starts. Firstly, we develop a novel concept of a time-invariant effective signal-to-noise ratio (TIESNR), which tractably and accurately captures the time-variations during the data transmission phase with partial channel state information available at the receiver. Secondly, we model the joint distribution of the signal-to-noise ratio at the time of selection and TIESNR during the data transmission using generalized bivariate gamma distribution. The above analytical steps facilitate the analysis of the outage probability and average packet error rate (PER) for a given modulation and coding scheme and average throughput with rate adaptation. We also present extensive numerical results to verify the accuracy of each step of our approach and show that ignoring the correlated time variations during the data transmission phase can significantly underestimate the outage probability and average PER, whereas it overestimates the average throughput even for packet durations as low as 1 msec.

Photoconductive antenna (PCA) array based THz near-field imager incorporating Hadamard multiplexing method is developed in this work. By using a 2 × 2 dipole antenna array as the THz transmitter, the system signal-to-noise ratio (SNR) is demonstrated to be improved by a factor of 2 as the theory predicts. Additionally, a 2-D scanning of a metallic structure on a THz-transparent substrate (with a total scanning area of 1 × 1 mm2) is experimentally implemented. Correlation coefficient estimation is made afterwards to quantify the reconstructed image quality.

Neste trabalho é apresentada uma nova geometria e os critérios de projeto para dispositivos de espectrometria de mobilidade iônica, com objetivo de aumentar a relação entre sinal e ruído detectados pelos eletrômetros que compõem a região de detecção, quando associado à ionização baseada em descargas elétricas que tipicamente emitem maior interferência eletromagnética em relação a outros tipos de ionização. A geometria e os critérios de projeto foram estabelecidos com o auxílio do simulador de trajetórias iônicas SIMION versão 8.1 e comparada com espectrômetros de mobilidade iônica do estado-da-arte. Os resultados das simulações dos dispositivos foram avaliados por meio dos testes estatísticos não-paramétricos de Iman-Davenport e Holm. O resultado indicou que a geometria proposta apresentou compatibilidade com as melhores características dos espectrômetros atuais com confiança estatística a 95 %. Na sequência a geometria proposta foi simulada, fabricada e testada para detecção dos íons de: tolueno - C7H8 (C5H5+, C6H5+, C7H7+), propanol - C3H8O (CH3+, CH3O+, C2H3+, C2H4O+, C2H5O+, C3H6+, C3H7+, C3H7O+) e água - H2O (H+, HO+, H2+, O+). Os picos de corrente iônica detectada nos eletrômetros indicaram coerência com as trajetórias simuladas para estes conjuntos de íons. Além disso, os resultados experimentais apresentaram um aumento na relação entre sinal e ruído para a nova geometria proposta que foi validada pelo teste de comparação pareada não-paramétrico de Wilcoxon a 95 % de confiança estatística. / In this work, a new geometry and a design criteria for ion mobility spectrometry devices was presented, aiming to increase the signal-to-noise ratio detected by electrodes of the detection region, when associated with ionization based on electrical discharges. The new geometry and the design criteria were established in the SIMION version 8.1 (an ionic trajectory simulator) and compared with the state-of-art ion mobility spectrometers. The results from device simulations were evaluated using the non-parametric statistical test of Iman-Davenport and Holm. The result indicated that the proposed design criteria presented compatibility with the best characteristics of current spectrometers with statistical evidence at 95%. The proposed geometry was simulated, fabricated and tested for the following solvents: toluene - C7H8 (C5H5+, C6H5+, C7H7+), propanol - C3H8O (CH3+, CH3O+, C2H3+, C2H4O+, C2H5O+, C3H6+, C3H7+, C3H7O+) and water - H2O (H+, HO+, H2+, O+). The peaks of ion current detected in the electrometers occurred at approximate positions of the simulated trajectories for these sets of ions. In addition, the experimental data showed an increase in the signal-to-noise ratio for the proposed new geometry that was validated by the test statistic of Wilcoxon signed rank at 95% statistical confidence.

Neste trabalho é apresentada uma nova geometria e os critérios de projeto para dispositivos de espectrometria de mobilidade iônica, com objetivo de aumentar a relação entre sinal e ruído detectados pelos eletrômetros que compõem a região de detecção, quando associado à ionização baseada em descargas elétricas que tipicamente emitem maior interferência eletromagnética em relação a outros tipos de ionização. A geometria e os critérios de projeto foram estabelecidos com o auxílio do simulador de trajetórias iônicas SIMION versão 8.1 e comparada com espectrômetros de mobilidade iônica do estado-da-arte. Os resultados das simulações dos dispositivos foram avaliados por meio dos testes estatísticos não-paramétricos de Iman-Davenport e Holm. O resultado indicou que a geometria proposta apresentou compatibilidade com as melhores características dos espectrômetros atuais com confiança estatística a 95 %. Na sequência a geometria proposta foi simulada, fabricada e testada para detecção dos íons de: tolueno - C7H8 (C5H5+, C6H5+, C7H7+), propanol - C3H8O (CH3+, CH3O+, C2H3+, C2H4O+, C2H5O+, C3H6+, C3H7+, C3H7O+) e água - H2O (H+, HO+, H2+, O+). Os picos de corrente iônica detectada nos eletrômetros indicaram coerência com as trajetórias simuladas para estes conjuntos de íons. Além disso, os resultados experimentais apresentaram um aumento na relação entre sinal e ruído para a nova geometria proposta que foi validada pelo teste de comparação pareada não-paramétrico de Wilcoxon a 95 % de confiança estatística. / In this work, a new geometry and a design criteria for ion mobility spectrometry devices was presented, aiming to increase the signal-to-noise ratio detected by electrodes of the detection region, when associated with ionization based on electrical discharges. The new geometry and the design criteria were established in the SIMION version 8.1 (an ionic trajectory simulator) and compared with the state-of-art ion mobility spectrometers. The results from device simulations were evaluated using the non-parametric statistical test of Iman-Davenport and Holm. The result indicated that the proposed design criteria presented compatibility with the best characteristics of current spectrometers with statistical evidence at 95%. The proposed geometry was simulated, fabricated and tested for the following solvents: toluene - C7H8 (C5H5+, C6H5+, C7H7+), propanol - C3H8O (CH3+, CH3O+, C2H3+, C2H4O+, C2H5O+, C3H6+, C3H7+, C3H7O+) and water - H2O (H+, HO+, H2+, O+). The peaks of ion current detected in the electrometers occurred at approximate positions of the simulated trajectories for these sets of ions. In addition, the experimental data showed an increase in the signal-to-noise ratio for the proposed new geometry that was validated by the test statistic of Wilcoxon signed rank at 95% statistical confidence.