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Passive Filters

Passive Filters

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...

Active Filters

Active Filters

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:

Design Example: Capacitance Multiplier Circuit

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

Design Example

Design Example

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...

Biasing of FET

Biasing of FET

Biasing a Junction Field Effect Transistor (JFET) is crucial for setting operational parameters and ensuring efficient functioning in electronic circuits. JFETs are characterized by using a single carrier type in N-channel or P-channel configurations, where the channel is surrounded by PN junctions. These junctions are central to the device's ability to control current flow.
In an N-channel JFET, the structure consists of N-type material forming the channel on a P-type substrate, with the...

Biasing of Metal-Semiconductor Junctions

Biasing of Metal-Semiconductor Junctions

Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...

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Related Experiment Video

Updated: Jun 18, 2025

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Directional Filter Design and Simulation for Superconducting On-Chip Filter-Banks.

Louis H Marting^1,2, Kenichi Karatsu², Akira Endo¹

¹Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, Zuid-Holland The Netherlands.

Journal of Low Temperature Physics

|July 29, 2024

Summary

A new directional filter offers 100% coupling efficiency for superconducting on-chip filter-banks, overcoming the 50% limit of traditional half-wavelength filters. This advancement significantly improves detector coupling and overall efficiency in filter-bank systems.

Keywords:

Band-pass filter Directional filter Filter-bank MKID Spectrometer

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Last Updated: Jun 18, 2025

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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Fabrication and Characterization of Superconducting Resonators

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Area of Science:

Superconducting electronics
Microwave engineering
Astrophysical instrumentation

Background:

Superconducting on-chip filter-banks often exhibit limited coupling efficiency to detectors.
The conventional half-wavelength filter design has a theoretical maximum coupling of 50%.

Purpose of the Study:

To introduce and evaluate a novel phase-coherent directional filter with 100% theoretical coupling.
To analyze and model the performance of filter-banks, considering fabrication imperfections.

Main Methods:

Analysis of measured filter frequency scatter, losses, and spectral resolution from a DESHIMA 2.0 filter-bank chip.
Circuit simulations adapted with measured fabrication tolerances and losses to reproduce experimental results.
Development of a comprehensive filter-bank model incorporating realistic parameters for simulation.

Main Results:

Frequency scatter is attributed to nanometer-scale line width variations.
Spectral resolution variances are caused solely by dielectric losses.
The directional filter-bank demonstrates significantly higher detector coupling compared to half-wave resonator designs across various simulations.

Conclusions:

The directional filter achieves near-perfect power capture after dielectric losses, eliminating the need for oversampling to boost efficiency.
This technology offers a substantial improvement for superconducting on-chip filter-banks, enhancing overall system performance.