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Related Concept Videos

Aliasing01:18

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 signal...
Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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High-resolution, background-free, time-to-space conversion by collinearly phase-matched sum-frequency generation.

Dror Shayovitz1, Dan M Marom

  • 1Department of Applied Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.

Optics Letters
|June 3, 2011
PubMed
Summary

Researchers demonstrate time-to-space conversion for optical pulses using sum-frequency generation. This breakthrough enables potential all-optical demultiplexing of high-speed data streams.

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Area of Science:

  • Optics and Photonics
  • Nonlinear Optics
  • Ultrafast Optics

Background:

  • High-speed optical communication systems require efficient methods for data demultiplexing.
  • Existing demultiplexing techniques often involve electronic conversions, limiting processing speeds.
  • Time-to-space conversion offers a potential pathway for all-optical signal processing.

Purpose of the Study:

  • To demonstrate the first time-to-space conversion of 1.55 μm femtosecond optical pulses.
  • To explore the application of nondegenerate, collinearly phase-matched sum-frequency generation for this conversion.
  • To assess the potential for all-optical demultiplexing of high bit-rate data streams.

Main Methods:

  • Utilized nondegenerate, collinearly phase-matched sum-frequency generation.
  • Employed 1.55 μm femtosecond optical pulses as input.
  • Analyzed the characteristics of the output signal, including spectral content and temporal width.

Main Results:

  • Achieved quasi-monochromatic and background-free output signal.
  • Demonstrated a time window of 35 picoseconds (ps).
  • Obtained a pulse image width of 350 femtoseconds (fs), resulting in a serial-to-parallel resolution factor of 100.

Conclusions:

  • The demonstrated time-to-space conversion is a significant advancement in optical signal processing.
  • The high resolution factor indicates strong potential for all-optical complete frame demultiplexing.
  • This technique could enable the demultiplexing of 1 Terabit per second (Tbit/s) optical time-division multiplexing (OTDM) bit streams.