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School of Electrical, Computer and Energy Engineering PhD Final Oral Defense Micromachined Acoustic Programmable Tunable Finite Impulse Response (FIR) Filters for Microwave Applications by Ameya Galinde July 24, 2013 2:30 pm GWC 305 Committee: Dr. Abbas Abbaspour-Tamijani (chair) Dr. Junseok Chae Dr. George Pan Dr. Stephen Phillips Abstract This dissertation proposes a miniature FIR filter that works at microwave frequencies, whose response can ideally be digitally programmed to change its center frequency, bandwidth, and response shape. Such a frequency agile device can find applications in cellular communications and wireless networking. The basic concept of the FIR filter utilizes a traveling wave tapped-delay line excited by capacitive transducers. By using a low loss acoustic waveguide of appropriate geometry, a miniature device with acceptable impedance can be fabricated. This filter can be programmed with a switching time on the order of microseconds. The input RF signal is applied at various locations on the acoustic waveguide at one end that excites waves of a propagating acoustic mode with varying spatial delays and amplitudes which interfere as they propagate. The output RF signal is picked up at various locations along the propagating structure at the other end, resulting in a tapped delay line that is essential to the construction of an FIR filter. The basic principle used for tuning in this design is that the frequency response of the input and output transducer arrays can be shaped by controlling the DC voltage profile applied to the individual transducer fingers in each of these arrays. Equivalent circuit modeling of the capacitive transducer, acoustic waveguide and transducer-line coupling is presented in this dissertation. A theoretical model is developed for the filter from a general theory of an array of transducers exciting a waveguide. This model is used to obtain a set of filter design equations that help in the overall filter design process. A MATLAB based circuit simulator is also developed to simulate the filter responses. An example waveguide structure is introduced to illustrate the overall design process. Design parameters optimized using the design equations are presented for this structure. Simulation results are presented and compared to values estimated by the theoretical model. In general, it is observed that high substrate losses can significantly degrade the filter performance in terms of the insertion loss and filter bandwidth. Microfabrication of a filter similar to the example structure is briefly discussed. A few other filter structures that were considered early on in the work are presented along with some earlier analysis techniques. During the initial phase of this project, a filter structure based on ridges etched in single crystal Silicon was approved for microfabrication after a basic analysis. A semi-analytical method to obtain propagating elastic modes of a ridge waveguide etched in an anisotropic crystal is then presented. This analysis was to aid in the design and testing of the ridge waveguide based filters. Details of the fabrication of this filter and the challenges faced are discussed in detail. Due to several unavoidable fabrication hurdles, the final devices based on this particular ridge waveguide design were not in a condition acceptable enough for testing. Finally, future work and a few other alternative designs are discussed that can have a better chance of success. Analysis and modeling work to this point has given a good understanding of the working principles, performance tradeoffs and fabrication pitfalls of the proposed device. With the appropriate acoustic waveguide structure, the proposed device could make it possible to realize miniature programmable FIR filters in the GHz range.