What This Document Is
These are session notes from ELENG 247A, an introductory course to Microelectromechanical Systems (MEMS) at the University of California, Berkeley. Specifically, this material focuses on the fundamental principles of filters – a critical component in many MEMS designs and signal processing applications. The notes represent a lecture dedicated to exploring the characteristics and classifications of filters, providing a foundational understanding for more advanced topics in the course.
Why This Document Matters
This resource is invaluable for students enrolled in ELENG 247A or anyone seeking a deeper understanding of filter theory as it applies to microelectromechanical systems. It’s particularly helpful for clarifying concepts discussed in lectures and preparing for assignments or exams. Engineers and designers working with MEMS devices will also find this a useful refresher on essential signal processing techniques. Accessing these notes will help solidify your grasp of filter concepts *before* tackling complex design challenges.
Topics Covered
* Filter Nomenclature and Terminology
* Key Filter Specifications (magnitude, phase, and quality factor)
* Different Filter Types (Butterworth, Chebyshev, Elliptic, Bessel)
* Analysis of Magnitude and Phase Response versus Frequency
* The concept of Group Delay and its importance in filter design
* Understanding Component Quality Factor (Inductors & Capacitors)
* Pole and Bandpass Filter Quality Factors
* Biquad Filters – an introduction
What This Document Provides
* A detailed exploration of filter specifications, including passband ripple, cutoff frequency, and stopband rejection.
* An overview of the relationship between filter characteristics and frequency response.
* Explanations of various filter types and their unique properties.
* A foundational understanding of the quality factor (Q) and its different interpretations.
* An introduction to the concept of group delay and its impact on signal fidelity.
* A starting point for further investigation into advanced filter design techniques.
