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Related Concept Videos

Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
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,...
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
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State Space to Transfer Function01:21

State Space to Transfer Function

The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
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Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
Transfer Function to State Space01:23

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State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
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Continuous-Wave Propagation Channel-Sounding Measurement System - Testing, Verification, and Measurements
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Carrier-phase-based two-way satellite time and frequency transfer.

Miho Fujieda1, Tadahiro Gotoh, Fumimaru Nakagawa

  • 1National Institute of Information and Communications Technology, Koganei, Japan. miho@nict.go.jp

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|December 11, 2012
PubMed
Summary

We measured satellite time and frequency transfer using a new A/D sampler system. This method achieved excellent short-term stability, comparable to GPS carrier phase measurements.

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Area of Science:

  • Metrology
  • Satellite Geodesy
  • Time and Frequency Transfer

Background:

  • Accurate time and frequency transfer is crucial for scientific and technological applications.
  • Traditional two-way satellite time and frequency transfer (TWSTFT) systems have limitations.
  • Advancements in digital sampling offer potential improvements in TWSTFT performance.

Purpose of the Study:

  • To evaluate the performance of a carrier-phase-based two-way satellite time and frequency transfer (TWST-FT) system utilizing an A/D sampler.
  • To compare the stability and accuracy of the A/D sampler TWSTFT system against a conventional TWSTFT system.
  • To assess the impact of satellite transponder local signals on measurement instability.

Main Methods:

  • Implementation of a carrier-phase-based TWST-FT system incorporating an A/D sampler.
  • Conducting short-baseline measurements to assess short-term stability.
  • Comparison of results with a conventional TWSTFT system and GPS carrier phase data.

Main Results:

  • The instability introduced by local signals at the satellite transponder was found to be negligible.
  • The A/D sampler TWSTFT system achieved a short-term stability of 4 × 10⁻¹³ at 1 second.
  • Experimental results demonstrated good agreement with GPS carrier phase measurements.

Conclusions:

  • The A/D sampler TWSTFT system is a viable and high-performance method for precise time and frequency transfer.
  • The system exhibits negligible instability from satellite transponder signals, enhancing reliability.
  • The achieved short-term stability is competitive with established methods like GPS carrier phase transfer.