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A chirp is a signal in which the frequency increases (up-chirp) or decreases (down-chirp) with time. In some sources, the term chirp is used interchangeably with sweep signal . [ 1 ] It is commonly applied to sonar , radar , and laser systems, and to other applications, such as in spread-spectrum communications (see chirp spread spectrum ).
The spectrum of a chirp pulse describes its characteristics in terms of its frequency components. This frequency-domain representation is an alternative to the more familiar time-domain waveform, and the two versions are mathematically related by the Fourier transform.
and where f d is the Doppler frequency, B is the frequency sweep of the chirp, T is the duration of the chirp, f m is the mid (centre) frequency of the chirp, V r is the radial velocity of the target and c is the velocity of light (= 3×10 8 m/s). Consider as an example, a chirp centered on 10 GHz, with pulse duration of 10μs and a bandwidth ...
In digital communications, chirp spread spectrum (CSS) is a spread spectrum technique that uses wideband linear frequency modulated chirp pulses to encode information. [1] A chirp is a sinusoidal signal whose frequency increases or decreases over time (often with a polynomial expression for the relationship between time and frequency).
In astrophysics, the chirp mass of a compact binary system determines the leading-order orbital evolution of the system as a result of energy loss from emitting gravitational waves. Because the gravitational wave frequency is determined by orbital frequency, the chirp mass also determines the frequency evolution of the gravitational wave signal ...
The chirp definition above means that the phase of the chirped signal (that is, the argument of the complex exponential), is the quadratic: = (() +) thus the instantaneous frequency is (by definition):
Chirping, the act of signaling with chirps, signals in which the frequency increases / decreases with time Chirping, pulse compression by linear frequency modulation Trash-talk in ice hockey
When the input signal is a linear chirp function, the instantaneous frequency is a linear function. This means that the time frequency distribution should be a straight line. For example, if =, then its instantaneous frequency is