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Related Concept Videos

Active Filters01:25

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:
Passive Filters01:27

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 frequency...
Bandpass Sampling01:17

Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2. The spectrum...
Parallel Resonance01:23

Parallel Resonance

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:
Design Example01:23

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...

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Related Experiment Video

Updated: Jun 16, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Optical-waveguide band-rejection filters: design.

M Matsuhara, K O Hill

    Applied Optics
    |February 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a new method for designing optical-waveguide band-rejection filters. The technique significantly reduces side-lobe levels without compromising the rolloff rate, offering improved filter performance.

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    Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

    Published on: February 4, 2018

    Area of Science:

    • Photonics and Waveguide Technology
    • Optical Filter Design
    • Signal Processing

    Background:

    • Optical-waveguide filters are crucial components in photonic integrated circuits.
    • Minimizing side-lobe levels is essential for signal integrity and filter performance.
    • Existing methods often face trade-offs between side-lobe suppression and rolloff rate.

    Purpose of the Study:

    • To introduce a novel method for designing optical-waveguide band-rejection filters.
    • To achieve significant reduction in side-lobe levels.
    • To maintain or improve the rolloff rate of filter responses.

    Main Methods:

    • The method involves controlling the shape of the perturbation-amplitude envelope.
    • A specific case using a modified raised cosine function for the coupling coefficient is analyzed.
    • Design curves are generated for optimizing filter responses.

    Main Results:

    • Side-lobe levels are reduced by several orders of magnitude.
    • The rolloff rate of the filter response is not appreciably degraded.
    • A trade-off between side-lobe level and rolloff is achievable by adjusting the function index 'p'.

    Conclusions:

    • The proposed method offers superior side-lobe suppression for optical-waveguide band-rejection filters.
    • The design flexibility allows for tailored filter characteristics based on specific application needs.
    • This approach enhances the performance and applicability of waveguide filters in various photonic systems.