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Sampling Continuous Time Signal

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...

Sampling Theorem

Sampling Theorem

In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.

Bandpass Sampling

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....

Sampling Methods: Overview

Sampling Methods: Overview

A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling.
In analytical chemistry, the choice of...

Aliasing

Aliasing

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...

Continuous -time Fourier Transform

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...

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Related Experiment Video

Updated: Mar 14, 2026

Quasi-light Storage for Optical Data Packets

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Frequency-time coherence for all-optical sampling without optical pulse source.

Stefan Preußler¹, Gilda Raoof Mehrpoor¹, Thomas Schneider¹

¹Insitut für Hochfrequenztechnik, Technische Universität Braunschweig, 38106 Braunschweig, Germany.

Scientific Reports

|October 1, 2016

Summary

A new all-optical sampling method uses signal coherence, eliminating the need for optical pulse sources. This technique enables simple integration and electrically tunable bandwidth, repetition rate, and time shift for optical signal processing.

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Last Updated: Mar 14, 2026

Quasi-light Storage for Optical Data Packets

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Published on: February 6, 2014

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Area of Science:

Photonics
Optical Signal Processing
Electrical Engineering

Background:

Optical sampling converts analog optical signals to digital electrical signals for analysis.
Traditional all-optical sampling often relies on mode-locked lasers, which have drawbacks.
Existing methods require complex optical setups and dedicated light sources.

Purpose of the Study:

To present a novel, simple all-optical sampling method.
To demonstrate sampling without requiring an optical pulse source.
To achieve electrically tunable sampling parameters.

Main Methods:

Utilizing the frequency-time coherence of optical signals.
Employing two coupled modulators driven by an electrical sine wave.
Developing a source-free all-optical sampling technique.

Main Results:

Achieved all-optical sampling without an optical pulse source.
Demonstrated electrically tunable bandwidth, repetition rate, and time shift.
Showcased a method potentially integrable with Silicon Photonics platforms.

Conclusions:

The proposed method offers a simplified approach to all-optical sampling.
The technique's reliance on electrical control allows for flexible parameter adjustment.
This innovation holds promise for efficient optical signal processing applications.