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Related Concept Videos

Design Example01:23

Design Example

348
The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
348
Active Filters01:25

Active Filters

855
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
855
Parallel Resonance01:23

Parallel Resonance

229
The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
229
Aliasing01:18

Aliasing

159
Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
159
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

328
Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
328
Passive Filters01:27

Passive Filters

561
Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...
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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Computationally-efficient statistical design and yield optimization of resonator-based notch filters using

Slawomir Koziel1,2, Tanveerul Haq3

  • 1Engineering Optimization and Modeling Center, Reykjavik University, 101, Reykjavik, Iceland.

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Summary

This study introduces a computationally efficient method for statistically analyzing and optimizing resonator-based notch filters. The approach enhances design reliability by accounting for manufacturing tolerances, ensuring better performance despite fabrication inaccuracies.

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Area of Science:

  • Electrical Engineering
  • Microwave Engineering
  • Computational Electromagnetics

Background:

  • Modern microwave devices demand precise electrical performance, necessitating meticulous geometric parameter tuning.
  • Increasing operating frequencies lead to smaller physical dimensions in passive microwave circuits, heightening susceptibility to manufacturing tolerances.
  • Fabrication inaccuracies significantly impact critical parameters like center frequency and bandwidth, especially for narrow-band structures such as notch filters.

Purpose of the Study:

  • To propose a simple, computationally efficient, and reliable procedure for statistical analysis and yield optimization of resonator-based notch filters.
  • To develop a methodology that quantifies the effects of manufacturing tolerances and incorporates them into the design process for enhanced reliability.
  • To increase the likelihood of adequate filter operation despite manufacturing errors.

Main Methods:

  • Utilizing feature-based surrogate models established with minimal training data for rapid evaluation of circuit fabrication yield.
  • Developing an iterative yield optimization procedure employing a sequence of feature-based models within relocated local domains.
  • Using these models as predictors to identify robust designs with maximum yield at a low computational cost.

Main Results:

  • Demonstrated the approach using two complementary complementary split ring resonator (CSRR)-based notch filters.
  • Achieved statistical design costs around one hundred electromagnetic (EM) simulations.
  • Corroborated yield evaluation reliability through EM-based Monte Carlo analysis.

Conclusions:

  • The proposed methodology offers a computationally efficient and reliable procedure for statistical analysis and yield optimization of resonator-based notch filters.
  • The feature-based surrogate modeling approach effectively addresses manufacturing tolerances, leading to more robust designs.
  • This method significantly reduces the computational cost associated with achieving high-yield microwave filter designs.