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Introduction to Fourier Transforms
Published in Srinivasan Gopalakrishnan, Elastic Wave Propagation in Structures and Materials, 2023
A chirp signal is the one in which the frequency increases or decreases with time. It is also sometime referred to as sweep signal. The linear chirp signal is mathematically represented as F(t)=ct+f0,c=f1−f0T
Basic Techniques for Capacitance and Impedance Measurements
Published in Jian V. Li, Giorgio Ferrari, Capacitance Spectroscopy of Semiconductors, 2018
Marco Carminati, Giorgio Ferrari
In some applications, the measurement time of the impedance meter is important or even critical. Examples are the execution of impedance spectroscopy with a large number of points in frequency or the detection of fast events (such as the passage of micrometric objects in micro-channels [20]) by means of impedimetric sensors. In order to reduce the measurement time of a full spectrum, it is possible to apply more than a single sinusoid at a time. Excitation with simultaneous sinusoids or non-sinusoidal waveforms requires arbitrary waveform generators and more complex processing (exclusively digital in this case). Following are the most important types of spectrally rich stimulation signals: Multi-sine signals are the sum of several sinusoids at different frequencies (properly spaced in the spectrum, usually avoiding harmonics) [21].Chirp signals are sinusoids with instantaneously changing frequency. The chirp can be linear (if the frequency increases linearly with time) or characterized by a more complex function of time.Binary multi-frequency signals are the equivalent of multi-sine discretized on two levels. A square wave is the simplest case, the equivalent of a single sinusoid, but containing all the odd harmonics.Pseudorandom noise-like, wide bandwidth signals [20].
Signal Analysis
Published in Russell L. Herman, An Introduction to Fourier Analysis, 2016
Another example is the "chirp" function. A chirp is a sinusoidal function with a time varying frequency. When turned into a sound of the right length and frequency range, a chirp sounds like the chirp of a bird. A linear chirp is one in which the frequency changes linearly. The next example gives an example of a chirp.
Energy storage design considerations for an MVDC power system
Published in Journal of Marine Engineering & Technology, 2020
Lee J. Rashkin, Jason C. Neely, David G. Wilson, Steven F. Glover, Norbert Doerry, Stephen Markle, Timothy J. McCoy
To further analyse the frequency domain behaviour of the system, a chirp was applied in simulation to the load on microgrid 3 while all other loads were held at a constant level. The chirp signal is a sinusoid with a time varying frequency that allows for a large range of frequency content to be applied to a system, which allows for frequency domain quantification of a complex system. The power of the load on microgrid 3 was then treated as the input to the system. The output powers of the diesel generators and ESSs were then recorded as the system outputs. The frequency domain behaviour of the input and outputs were then calculated using the MATLAB fft() function and the transfer function found by dividing each output by the input (MATLAB_2017b 2014).
Performance Analysis of Fractional Fourier Domain Beam-Forming Methods for Sensor Arrays
Published in Smart Science, 2019
G. Sreekumar, Leena Mary, A. Unnikrishnan
Chirps are signals that exhibit a change in instantaneous frequency with time and are of particular interest in active and passive systems of radars and sonars [23]. Active sonar system using chirp signals are designed for detecting and real-time imaging of objects buried under seabed [24]. The applications also span other areas that include acoustic communications, seismic surveying and ultrasonic imaging. Chirp signals occur in nature in the form of birds and bat sounds, bottleneck dolphin and minke whale whistles. For moving source problems in passive sensor arrays, the chirp signals are produced due to Doppler effect when the sinusoidal source is accelerating [21]. Some active systems of radars and sonars use chirp signal for transmission, as they provide good detection sensitivity of low Doppler targets with high range resolution [23,25].
Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively
Published in Applied Mathematics in Science and Engineering, 2022
We now show the results of PAR algorithm in different types of signals and sliding windows. Here we choose three different signals, Gaussian complex signal, chirp signal and real temperature signal. A Gauss complex signal with N = 101, which is defined as Chirp signal is a typical non-stationary signal in communication, sonar, radar. Figure 2 shows a chirp signal with length N = 101 and average value is 0. Earth abnormal temperature signal is a real signal describing the temperature variation in Figure 3.