Waste recovery into activated carbon for water purification from heavy metals

Dissertação apresentada para obtenção do Grau de Doutor em Engenharia Química Pela Universidade Nova de Lisboa,Faculdade de Ciências e Tecn

Target-specific multiphysics modeling for thermal medicine applications

Dissertation to obtain the degree of Doctor of Philosophy in Biomedical Engineering

Experimental design methodologies for the identification of Michaelis-Menten type kinetics

The main objective of this work was to investigate the application of experimental design techniques for the identification of Michaelis-Menten kinetic parameters. More specifically, this study attempts to elucidate the relative advantages/disadvantages of employing complex experimental design techniques in relation to equidistant sampling when applied to different reactor operation modes. All studies were supported by simulation data of a generic enzymatic process that obeys to the Michaelis-Menten kinetic equation. Different aspects were investigated, such as the influence of the reactor operation mode (batch, fed-batch with pulse wise feeding and fed-batch with continuous feeding) and the experimental design optimality criteria on the effectiveness of kinetic parameters identification. The following experimental design optimality criteria were investigated: 1) minimization of the sum of the diagonal of the Fisher information matrix (FIM) inverse (A-criterion), 2) maximization of the determinant of the FIM (D-criterion), 3) maximization of the smallest eigenvalue of the FIM (E-criterion) and 4) minimization of the quotient between the largest and the smallest eigenvalue (modified E-criterion). The comparison and assessment of the different methodologies was made on the basis of the Cramér-Rao lower bounds (CRLB) error in respect to the parameters vmax and Km of the Michaelis-Menten kinetic equation. In what concerns the reactor operation mode, it was concluded that fed-batch (pulses) is better than batch operation for parameter identification. When the former operation mode is adopted, the vmax CRLB error is lowered by 18.6 % while the Km CRLB error is lowered by 26.4 % when compared to the batch operation mode. Regarding the optimality criteria, the best method was the A-criterion, with an average vmax CRLB of 6.34 % and 5.27 %, for batch and fed-batch (pulses), respectively, while presenting a Km’s CRLB of 25.1 % and 18.1 %, for batch and fed-batch (pulses), respectively. As a general conclusion of the present study, it can be stated that experimental design is justified if the starting parameters CRLB errors are inferior to 19.5 % (vmax) and 45% (Km), for batch processes, and inferior to 42 % and to 50% for fed-batch (pulses) process. Otherwise equidistant sampling is a more rational decision. This conclusion clearly supports that, for fed-batch operation, the use of experimental design is likely to largely improve the identification of Michaelis-Menten kinetic parameters.

Política(s) de saúde no trabalho : um inquérito sociológico às empresas portuguesas

Resumo Política(s) de saúde no trabalho: um inquérito sociológico às empresas portuguesas A literatura portuguesa sobre políticas, programas e actividades de Segurança, Higiene e Saúde no Trabalho (abreviadamente, SH&ST) é ainda escassa. Com este projecto de investigação pretende-se (i) colmatar essa lacuna, (ii) melhorar o conhecimento dos sistemas de gestão da saúde e segurança no trabalho e (iii) contribuir para a protecção e a promoção da saúde dos trabalhadores. Foi construída uma tipologia com cinco grupos principais de políticas, programas e actividades: A (Higiene & Segurança no Trabalho / Melhoria do ambiente físico de trabalho); B (Avaliação de saúde / Vigilância médica / Prestação de cuidados de saúde); C (Prevenção de comportamentos de risco/ Promoção de estilos de vida saudáveis); D (Intervenções a nível organizacional / Melhoria do ambiente psicossocial de trabalho); E (Actividades e programas sociais e de bem-estar). Havia uma lista de mais de 60 actividades possíveis, correspondendo a um índice de realização de 100%. Foi concebido e desenhado, para ser auto-administrado, um questionário sobre Política de Saúde no Local de Trabalho. Foram efectuados dois mailings, e um follow-up telefónico. O trabalho de campo decorreu entre a primavera de 1997 e o verão de 1998. A amostra (n=259) é considerada representativa das duas mil maiores empresas do país. Uma em cada quatro é uma multinacional. A taxa de sindicalização rondava os 30% da população trabalhadora, mas apenas 16% dos respondentes assinalou a existência de representantes dos trabalhadores eleitos para a SH&ST. A hipótese de investigação principal era a de que as empresas com um sistema integrado de gestão da SH&ST seriam também as empresas com um (i) maior número de políticas, programas e actividades de saúde; (ii) maior índice de saúde; (iii) maior índice de realização; e (iv) maior percentagem dos encargos com a SH&ST no total da massa salarial. As actividades de tipo A e B, tradicionalmente associadas à SH&ST, representavam, só por si, mais de 57% do total. Os resultados, correspondentes às respostas da Secção C do questionário, apontam, para (i) a hipervalorização dos exames de medicina do trabalho; e por outro para (ii) o subaproveitamento de um vasto conjunto de actividades (nomeadamente as de tipo D e E), que são correntemente levadas a cabo pelas empresas e que nunca ou raramente são pensadas em termos de protecção e promoção da saúde dos trabalhadores. As actividades e os programas de tipo C (Prevenção de comportamentos de risco/Promoção de estilos de vida saudáveis), ainda eram as menos frequentes entre nós, a seguir aos Programas sociais e de bem-estar (E). É a existência de sistemas de gestão integrados de SH&ST, e não o tamanho da empresa ou outra característica sociodemográfica ou técnico-organizacional, que permite predizer a frequência de políticas de saúde mais activas e mais inovadores. Os três principais motivos ou razões que levam as empresas portuguesas a investir na protecção e promoção da saúde dos seus trabalhadores eram, por ordem de frequência, (i) o absentismo em geral; (ii) a produtividade, qualidade e/ou competitividade, e (iii) a filosofia de gestão ou cultura organizacional. Quanto aos três principais benefícios que são reportados, surge em primeiro lugar (i) a melhoria da saúde dos trabalhadores, seguida da (ii) melhoria do ambiente do ambiente de trabalho e, por fim, (iii) a melhoria da produtividade, qualidade e/ou competitividade.Quanto aos três principais obstáculos que se põem, em geral, ao desenvolvimento das iniciativas de saúde, eles seriam os seguintes, na percepção dos respondentes: (i) a falta de empenho dos trabalhadores; (ii) a falta de tempo; e (iii) os problemas de articulação/ comunicação a nível interno. Por fim, (i) o empenho das estruturas hierárquicas; (ii) a cultura organizacional propícia; e (iii) o sentido de responsabilidade social surgem, destacadamente, como os três principais factores facilitadores do desenvolvimento da política de saúde no trabalho. Tantos estes factores como os obstáculos são de natureza endógena, susceptíveis portanto de controlo por parte dos gestores. Na sua generalidade, os resultados deste trabalho põem em evidência a fraqueza teóricometodológica de grande parte das iniciativas de saúde, realizadas na década de 1990. Muitas delas seriam medidas avulsas, que se inserem na gestão corrente das nossas empresas, e que dificilmente poderão ser tomadas como expressão de uma política de saúde no local de trabalho, (i) definida e assumida pela gestão de topo, (ii) socialmente concertada, (iii) coerente, (iv) baseada na avaliação de necessidades e expectativas de saúde dos trabalhadores, (v) divulgada, conhecida e partilhada por todos, (vi) contingencial, flexível e integrada, e, por fim, (vii) orientada por custos e resultados. Segundo a Declaração do Luxemburgo (1997), a promoção da saúde engloba o esforço conjunto dos empregadores, dos trabalhadores, do Estado e da sociedade civil para melhorar a segurança, a saúde e o bem-estar no trabalho, objectivo isso que pode ser conseguido através da (i) melhoria da organização e das demais condições de trabalho, da (ii) participação efectiva e concreta dos trabalhadores bem como do seu (iii) desenvolvimento pessoal. Abstract Health at work policies: a sociological inquiry into Portuguese corporations Portuguese literature on workplace health policies, programs and activities is still scarce. With this research project the author intends (i) to improve knowledge on the Occupational Health and Safety (shortly thereafter, OSH) management systems and (ii) contribute to the development of health promotion initiatives at a corporate level. Five categories of workplace health initiatives have been identified: (i) Occupational Hygiene and Safety / Improvement of Physical Working Environment (type A programs); (ii) Health Screening, Medical Surveillance and Other Occupational Health Care Provision (type B programs); (iii) Preventing Risk Behaviours / Promoting Healthy Life Styles (type C programs); (iv) Organisational Change / Improvement of Psycho-Social Working Environment (type D programs); and (v) Industrial and Social Welfare (type E programs). A mail questionnaire was sent to the Chief Executive Officer of the 1500 largest Portuguese companies, operating in the primary and secondary sectors (≥ 100 employees) or tertiary sector (≥ 75 employees). Response rate has reached about 20% (259 respondents, representing about 300 companies). Carried out between Spring 1997 and Summer 1998, the fieldwork has encompassed two direct mailings and one phone follow-up. Sample is considered to be representative of the two thousand largest companies. One in four is a multinational. Union membership rate is about 30%, but only 16% has reported the existence of a workers’ health and safety representative. The most frequent workplace health initiatives were those under the traditional scope of the OSH field (type A and B programs) (57% of total) (e.g., Periodical Medical Examinations; Individual Protective Equipment; Assessment of Working Ability). In SMEs (< 250) it was less likely to find out some time-consuming and expensive activities (e.g., Training on OSH knowledge and skills, Improvement of environmental parameters as ventilation, lighting, heating).There were significant differences in SMEs, when compared with the larger ones (≥ 250) concerning type B programs such as Periodical medical examinations, GP consultation, Nursing care, Other medical and non-medical specialities (e.g., psychiatrist, psychologist, ergonomist, physiotherapist, occupational social worker). With regard to type C programs, there were a greater percentage of programs centred on Substance abuse (tobacco, alcohol, and drug) than on Other health risk behaviours. SMEs representatives reported very few prevention- oriented programs in the field of Drug abuse, Nutrition, Physical activity, Off- job accidents, Blood pressure or Weight control. Frequency of type D programs included Training on Human Resources Management, Training on Organisational Behaviour, Total Quality Management, Job Design/Ergonomics, and Workplace rehabilitation. In general, implementation of this type of programs (Organisational Change / Improvement of Psychosocial Working Environment) is not largely driven by health considerations. Concerning Industrial and Social Welfare (Type E programs), the larger employers are in a better position than SMEs to offer to their employees a large spectrum of health resources and facilities (e.g., Restaurant, Canteen, Resting room, Transport, Infra-structures for physical activity, Surgery, Complementary social protection, Support to recreational and cultural activities, Magazine or newsletter, Intranet). Other workplace health promotion programs like Training on Stress Management, Employee Assistance Programs, or Self-help groups are uncommon in the Portuguese worksites. The existence of integrated OSH management systems, not the company size, is the main variable explaining the implementation of more active and innovative workplace health policies in Portugal. The three main prompting factors reported by employers for health protection and promotion initiatives are: (i) Employee absenteeism; (ii) Productivity, quality and/or competitiveness; and (iii) Corporate culture/management philosophy. On the other hand, (i) Improved staff’s health, (ii) Improved working environment and (iii) Improved productivity, quality and/or competitiveness were the three main benefits reported by companies’ representatives, as a result of successful implementation of workplace health initiatives. (i) Lack of staff commitment; (ii) Lack of time; and (iii) Problems of co-operation and communication within company or establishment (iii) are perceived to be the main barriers companies must cope with. Asked about the main facilitating factors, these companies have pointed out the following ones: (i) Top management commitment; (ii) Corporate culture; and (iii) Sense of social responsibility. This sociological research report shows the methodological weaknesses of workplace health initiatives, carried out by Portuguese companies during the last ‘90s. In many cases, these programs and actions were not part of a corporate health strategy and policy, (i) based on the assessment of workers’ health needs and expectancies, (ii) advocated by the employer or the chief executive officer, (ii) planned and implemented with the staff consultation and participation or (iv) evaluated according to a cost-benefit analysis. In short, corporate health policy and action were still rather based on more traditional OSH approaches and should be reoriented towards Workplace Health Promotion (WHP) approach. According to the Luxembourg Declaration of Workplace Health Promotion in the European Union (1997), WHP is “a combination of: (i) improving the work organisation and environment; (ii) promoting active participation; (iii) encouraging personal development”.Résumée Politique(s) de santé au travail: une enquête sociologique aux entreprises portugaises Au Portugal on ne sait presque rien des politiques de santé au travail, adoptés par les entreprises. Avec ce projet de recherche, on veut (i) améliorer la connaissance sur les systèmes de gestion de la santé et de la sécurité au travail et, au même temps, (ii) contribuer au développement de la promotion de la santé des travailleurs. Une typologie a été usée pour identifier les politiques, programmes et actions de santé au travail: A. Amélioration des conditions de travail / Sécurité au travail; B. Médecine du travail /Santé au travail; C. Prévention des comportements de risque / Promotion de styles de vie sains; D. Interventions organisationnelles / Amélioration des facteurs psychosociaux au travail; E. Gestion de personnel et bien-être social. Un questionnaire postal a été envoyé au représentant maximum des grandes entreprises portugaises, industrielles (≥ 100 employés) ou des services (≥ 75 employés). Le taux de réponse a été environ 20% (259 répondants, concernant trois centaines d’entreprises et d’établissements). La recherche de champ, conduite du printemps 1997 à l’été 1998, a compris deux enquêtes postales et un follow-up téléphonique. L´échantillon est représentatif de la population des deux miles plus grandes entreprises. Un quart sont des multinationales. Le taux de syndicalisation est d’environ 30%. Toutefois, il y a seulement 16% de lieux de travail avec des représentants du personnel pour la santé et sécurité au travail. Les initiatives de santé au travail les plus communes sont celles concernant le domaine plus traditionnel (types A et B) (57% du total): par exemple, les examens de médecine du travail, l’équipement de protection individuelle, les tests d’aptitude au travail. En ce qui concerne les programmes de type C, les plus fréquents sont le contrôle et la prévention des addictions (tabac, alcool, drogue). Les interventions dans le domaine de du système technique et organisationnelle du travail peuvent comprendre les courses de formation en gestion de ressources humaines ou en psychosociologie des organisations, l’ergonomie, le travail posté ou la gestion de la qualité totale. En général, la protection et la promotion de la santé des travailleurs ne sont pas prises en considération dans l’implémentation des initiatives de type D. Il y a des différences quand on compare les grandes entreprises et les moyennes en matière de politique de gestion du personnel e du bien-être (programmes de type E, y compris l’allocation de ressources humaines ou logistiques comme, par exemple, restaurant, journal d’entreprise, transports, installations et équipements sportifs). D’autres activités de promotion de la santé au travail comme la formation en gestion du stress, les programmes d’ assistance aux employés, ou les groupes de soutien et d’auto-aide sont encore très peu fréquents dans les entreprises portugaises. C’est le système intégré de gestion de la santé et de la sécurité au travail, et non pas la taille de l’entreprise, qui aide à prédire l’existence de politiques actives et innovatrices dans ce domaine. Les trois facteurs principaux qui encouragent les actions de santé (prompting factors, en anglais) sont (i) l’absentéisme (y compris la maladie), (ii) les problèmes liés à la productivité, qualité et/ou la compétitivité, et aussi (iii) la culture de l’entreprise/philosophie de gestion. Du coté des bénéfices, on a obtenu surtout l’amélioration (i) de la santé du personnel, (ii) des conditions de travail, et (iii) de la productivité, qualité et/ou compétitivité.Les facteurs qui facilitent les actions de santé au travail sont (i) l’engagement de la direction, (ii) la culture de l’entreprise, et (iii) le sens de responsabilité sociale. Par contre, les obstacles à surmonter, selon les organisations qui ont répondu au questionnaire, seraient surtout (i) le manque d’engagement des travailleurs et de leur représentants, (ii) le temps insuffisant, et (iii) les problèmes de articulation/communication au niveau interne de l’entreprise/établissement. Ce travail de recherche sociologique montre la faiblesse méthodologique des services et activités de santé et sécurité au travail, mis en place par les entreprises portugaises dans les années de 1990, à la suite des accords de concertation sociale de 1991. Dans beaucoup de cas, (i) ces politiques de santé ne font pas partie encore d’un système intégré de gestion, (ii) il n’a pas d’évaluation des besoins et des expectatives des travailleurs, (iii) c’est très bas ou inexistant le niveau de participation du personnel, (iv) on ne fait pas d’analyse coût-bénéfice. On peut conclure que les politiques de santé au travail sont plus proches de la médecine du travail et de la sécurité au travail que de la promotion de la santé des travailleurs. Selon la Déclaration du Luxembourg sur la Promotion de la Santé au Lieu de Travail dans la Communauté Européenne (1997), celle-ci « comprend toutes les mesures des employeurs, des employés et de la société pour améliorer l'état de santé et le bien être des travailleurs » e « ceci peut être obtenu par la concentration des efforts dans les domaines suivants: (i) amélioration de l'organisation du travail et des conditions de travail ; (ii) promotion d'une participation active des collaborateurs ; (iii) renforcement des compétences personnelles ».

Design of New Materials for Passive Vibration Control

The objective of this contribution is to extend the models of cellular/composite material design to nonlinear material behaviour and apply them for design of materials for passive vibration control. As a first step a computational tool allowing determination of optimised one-dimensional isolator behaviour was developed. This model can serve as a representation for idealised macroscopic behaviour. Optimal isolator behaviour to a given set of loads is obtained by generic probabilistic metaalgorithm, simulated annealing. Cost functional involves minimization of maximum response amplitude in a set of predefined time intervals and maximization of total energy absorbed in the first loop. Dependence of the global optimum on several combinations of leading parameters of the simulated annealing procedure, like neighbourhood definition and annealing schedule, is also studied and analyzed. Obtained results facilitate the design of elastomeric cellular materials with improved behaviour in terms of dynamic stiffness for passive vibration control.

Application of the EcoBlock method to eco-design - electric hand dryers versus paper towels

Sustainable Construction, Materials and Practice, p. 426-432

An agent-based evolutionary approach for manufacturing system layout design

Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para obtenção do grau de Mestre em Engenharia Electrotécnica e de Computadores

Design of New Materials for Passive Vibration Control

The aim of this contribution is to extend the techniques of composite materials design to non-linear material behaviour and apply it for design of new materials for passive vibration control. As a first step a computational tool allowing determination of macroscopic optimized one-dimensional isolator behaviour was developed. Voigt, Maxwell, standard and more complex material models can be implemented. Objective function considers minimization of the initial reaction and/or displacement peak as well as minimization of the steady-state amplitude of reaction and/or displacement. The complex stiffness approach is used to formulate the governing equations in an efficient way. Material stiffness parameters are assumed as non-linear functions of the displacement. The numerical solution is performed in the complex space. The steady-state solution in the complex space is obtained by an iterative process based on the shooting method which imposes the conditions of periodicity with respect to the known value of the period. Extension of the shooting method to the complex space is presented and verified. Non-linear behaviour of material parameters is then optimized by generic probabilistic meta-algorithm, simulated annealing. Dependence of the global optimum on several combinations of leading parameters of the simulated annealing procedure, like neighbourhood definition and annealing schedule, is also studied and analyzed. Procedure is programmed in MATLAB environment.

Modeling of integrated inductors for RF circuit design

Dissertação para obtenção do Grau de Mestre em Engenharia Electrotécnica

Sustainable urban planning: parameters to the operational process

In modern society, energy consumption and respect for the environment have become essential aspects of urban planning. The rising demand for alternative sources of energy, coupled with the decline in the construction sector and material usage, gives the idea that the thinking on modern cities, where attention is given to reduced energy consumption, savings, waste recycling and respect for the surrounding environment, is being put into practice. If we examine development of the city over recent centuries, by means of the theories of the most famous and influential urban planners, it is possible to identify the major problems caused by this type of planning. For this reason, in recent urban planning the use of systems of indicators that evaluate and certify land environmentally and energetically guides the master plan toward a more efficient city model. In addition the indicators are targeted on key factors determined by the commissioner or the opportunities the territory itself provides. Due the complexity of the environmental mechanics, the process of design and urban planning has become a challenging issue. The introduction of the indicators system has made it possible to register the life of the process, with a spiral route that allows the design itself to be refined. The aim of this study, built around the creation of a system of urban sustainability indicators that will evaluate highly eco-friendly cities, is to develop a certification system for cities or portions of them. The system will be upgradeable and objective, will employ real data and will be concerned with energy production and consumption.

Optimal design and operation of compact simulated moving bed processes for enantioseparations

Simulated moving bed (SMB) chromatography is attracting more and more attention since it is a powerful technique for complex separation tasks. Nowadays, more than 60% of preparative SMB units are installed in the pharmaceutical and in the food in- dustry [SDI, Preparative and Process Liquid Chromatography: The Future of Process Separations, International Strategic Directions, Los Angeles, USA, 2002. http://www. strategicdirections.com]. Chromatography is the method of choice in these ¯elds, be- cause often pharmaceuticals and ¯ne-chemicals have physico-chemical properties which di®er little from those of the by-products, and they may be thermally instable. In these cases, standard separation techniques as distillation and extraction are not applicable. The noteworthiness of preparative chromatography, particulary SMB process, as a sep- aration and puri¯cation process in the above mentioned industries has been increasing, due to its °exibility, energy e±ciency and higher product purity performance. Consequently, a new SMB paradigm is requested by the large number of potential small- scale applications of the SMB technology, which exploits the °exibility and versatility of the technology. In this new SMB paradigm, a number of possibilities for improving SMB performance through variation of parameters during a switching interval, are pushing the trend toward the use of units with smaller number of columns because less stationary phase is used and the setup is more economical. This is especially important for the phar- maceutical industry, where SMBs are seen as multipurpose units that can be applied to di®erent separations in all stages of the drug-development cycle. In order to reduce the experimental e®ort and accordingly the coast associated with the development of separation processes, simulation models are intensively used. One impor- tant aspect in this context refers to the determination of the adsorption isotherms in SMB chromatography, where separations are usually carried out under strongly nonlinear conditions in order to achieve higher productivities. The accurate determination of the competitive adsorption equilibrium of the enantiomeric species is thus of fundamental importance to allow computer-assisted optimization or process scale-up. Two major SMB operating problems are apparent at production scale: the assessment of product quality and the maintenance of long-term stable and controlled operation. Constraints regarding product purity, dictated by pharmaceutical and food regulatory organizations, have drastically increased the demand for product quality control. The strict imposed regulations are increasing the need for developing optically pure drugs.(...)

Analysis and design of sinusoidal quadrature RC-oscillators

Modern telecommunication equipment requires components that operate in many different frequency bands and support multiple communication standards, to cope with the growing demand for higher data rate. Also, a growing number of standards are adopting the use of spectrum efficient digital modulations, such as quadrature amplitude modulation (QAM) and orthogonal frequency division multiplexing (OFDM). These modulation schemes require accurate quadrature oscillators, which makes the quadrature oscillator a key block in modern radio frequency (RF) transceivers. The wide tuning range characteristics of inductorless quadrature oscillators make them natural candidates, despite their higher phase noise, in comparison with LC-oscillators. This thesis presents a detailed study of inductorless sinusoidal quadrature oscillators. Three quadrature oscillators are investigated: the active coupling RC-oscillator, the novel capacitive coupling RCoscillator, and the two-integrator oscillator. The thesis includes a detailed analysis of the Van der Pol oscillator (VDPO). This is used as a base model oscillator for the analysis of the coupled oscillators. Hence, the three oscillators are approximated by the VDPO. From the nonlinear Van der Pol equations, the oscillators’ key parameters are obtained. It is analysed first the case without component mismatches and then the case with mismatches. The research is focused on determining the impact of the components’ mismatches on the oscillator key parameters: frequency, amplitude-, and quadrature-errors. Furthermore, the minimization of the errors by adjusting the circuit parameters is addressed. A novel quadrature RC-oscillator using capacitive coupling is proposed. The advantages of using the capacitive coupling are that it is noiseless, requires a small area, and has low power dissipation. The equations of the oscillation amplitude, frequency, quadrature-error, and amplitude mismatch are derived. The theoretical results are confirmed by simulation and by measurement of two prototypes fabricated in 130 nm standard complementary metal-oxide-semiconductor (CMOS) technology. The measurements reveal that the power increase due to the coupling is marginal, leading to a figure-of-merit of -154.8 dBc/Hz. These results are consistent with the noiseless feature of this coupling and are comparable to those of the best state-of-the-art RC-oscillators, in the GHz range, but with the lowest power consumption (about 9 mW). The results for the three oscillators show that the amplitude- and the quadrature-errors are proportional to the component mismatches and inversely proportional to the coupling strength. Thus, increasing the coupling strength decreases both the amplitude- and quadrature-errors. With proper coupling strength, a quadrature error below 1° and amplitude imbalance below 1% are obtained. Furthermore, the simulations show that increasing the coupling strength reduces the phase noise. Hence, there is no trade-off between phase noise and quadrature error. In the twointegrator oscillator study, it was found that the quadrature error can be eliminated by adjusting the transconductances to compensate the capacitance mismatch. However, to obtain outputs in perfect quadrature one must allow some amplitude error.