Provisos for classic linear oscillator design methods. New linear oscillator design based on the NDF/RRT

In this paper, the classic oscillator design methods are reviewed, and their strengths and weaknesses are shown. Provisos for avoiding the misuse of classic methods are also proposed. If the required provisos are satisfied, the solutions provided by the classic methods (oscillator start-up linear approximation) will be correct. The provisos verification needs to use the NDF (Network Determinant Function). The use of the NDF or the most suitable RRT (Return Relation Transponse), which is directly related to the NDF, as a tool to analyze oscillators leads to a new oscillator design method. The RRT is the "true" loop-gain of oscillators. The use of the new method is demonstrated with examples. Finally, a comparison of NDF/RRT results with the HB (Harmonic Balance) simulation and practical implementation measurements prove the universal use of the new methods.

Comments and remarks over classic linear loop-gain method for oscillator design and analysis. New proposed method based on NDF/RRT

Abstract. This paper describes a new and original method for designing oscillators based on the Normalized Determinant Function (NDF) and Return Relations (RRT)- Firstly, a review of the loop-gain method will be performed. The loop-gain method pros, cons and some examples for exploring wrong solutions provided by this method will be shown. This method produces in some cases wrong solutions because some necessary conditions have not been fulfilled. The required necessary conditions to assure a right solution will be described. The necessity of using the NDF or the Transpose Return Relations (RRT), which are related with the True Loop-Gain, to test the additional conditions will be demonstrated. To conclude this paper, the steps for oscillator design and analysis, using the proposed NDF/RRj method, will be presented. The loop-gain wrong solutions will be compared with the NDF/RRj and the accuracy of this method to estimate the oscillation frequency and QL will be demonstrated. Some additional examples of plane reference oscillators (Z/Y/T), will be added and they will be analyzed with the new NDF/RRj proposed method, even these oscillators cannot be analyzed using the classic loop gain method.

Transpose return relation method for designing low noise oscillators

In this paper, a new linear method for optimizing compact low noise oscillators for RF/MW applications will be presented. The first part of this paper makes an overview of Leeson's model. It is pointed out, and it is demonstrates that the phase noise is always the same inside the oscillator loop. It is presented a general phase noise optimization method for reference plane oscillators. The new method uses Transpose Return Relations (RRT) as true loop gain functions for obtaining the optimum values of the elements of the oscillator, whatever scheme it has. With this method, oscillator topologies that have been designed and optimized using negative resistance, negative conductance or reflection coefficient methods, until now, can be studied like a loop gain method. Subsequently, the main disadvantage of Leeson's model is overcome, and now it is not only valid for loop gain methods, but it is valid for any oscillator topology. The last section of this paper lists the steps to be performed to use this method for proper phase noise optimization during the linear design process and before the final non-linear optimization. The power of the proposed RRT method is shown with its use for optimizing a common oscillator, which is later simulated using Harmonic Balance (HB) and manufactured. Then, the comparison of the linear, HB and measurements of the phase noise are compared.

Diseño, fabricación, caracterización y aplicaciones constructivas de hormigones de consistencia seca con adiciones de materiales de procedencia orgánica e inorgánica de neumáticos fuera de uso (NFUs)

La siguiente investigación está centrada en establecer las diferencias en la reutilización, en los hormigones de consistencia seca, de dos tipos de caucho obtenidos en el proceso del reciclado del neumático, caucho reciclado del neumático (CRN): los tamaños del granulado (4-8 mm) de caucho reciclado de alta calidad (CR: Caucho Limpio) y el desecho del proceso del reciclado: fibra textil y de acero con trazas de caucho (desecho del caucho reciclado, IR: Caucho de impurezas). Ambos tipos fueron clasificados y añadidos como árido en sustitución del árido grueso (grava) desde el 20 al 100% del volumen. El comportamiento físico y mecánico del IR en los hormigones fue comparado con el hormigón de referencia y las series con el CR para el futuro uso en piezas de hormigón prefabricado. En ambos casos se aprecia una reducción de las resistencias mecánicas en proporción con las cantidades de caucho de sustitución, pero menos en series con IR con una combinación satisfactoria de fibra textil y metálica. El IR muestra mayores pérdidas en propiedades tales como trabajabilidad y densidad, pero también con un incremento de la porosidad. Estos hechos facilitan nuevas opciones para los desechos procedentes del CRN en los hormigones y por lo tanto menores gastos de energía, logrando una tasa de éxito en el proceso de reciclado cercano al 100%. The following research is focused on establishing the differences in the re-use as aggregate in dry consistency concretes of two types of rubber obtained in the process of tyre recycling, recycled rubber from tyres (RRT): granulated sizes (4–8 mm) of high quality recycled rubber (CR: Clean Rubber) and the waste of the recycling process: steel and textile fibers with rubber tracks (waste from recycled rubber, WRR). Both types were classified and added as aggregate in substitution of coarse aggregates from 20 to 100 % by volume. The physical and mechanical behavior of IR in concretes was compared with reference concrete and series with CR for a future use in precast concrete pieces. In both samples a reduction of mechanical resistance occurs in proportion with the amounts of rubber of substitution, but less in serials with IR with a successful combination of steel and textile fiber. IR shows furthermore a reduction in properties such as workability and density, but also an increment in porosity. These facts facilitate new options for waste from CRN in concretes and therefore lower energy costs, achieving a success rate in the recycling process close to 100 %.