Matlab: 2.4: what will the value of u,f0, and phi be when psi = 3*tt.*tt + 30*tt
ID: 1715795 • Letter: M
Question
Matlab:
2.4:
what will the value of u,f0, and phi be when psi = 3*tt.*tt + 30*tt + 17?
A chirp signal is a sinusoid whose frequency changes linearly from a starting value to an ending one. The formula for such a signal can be defined by creating a complex exponential signal with quadratic angle by defining psi(t) in (3) as psi(t) = 27pi mu t^2 + 2pi f_0 t + phi The derivative of psi(t) yields an instantaneous frequency (4) that changes linearly versus time f_i(t) = 2 mu t + f_0 The slope of f_i (t) is equal to 2 mu and its intercept is equal to f_0. If the signal starts at time t = 0 secs., then fo is also the starting frequency. The frequency variation produced by such a time-varying angle is called frequency modulation. This kind of signal is an example of an frequency modulated (FM) signal. More generally, we often consider them to be part of a larger class called angle modulation signals. Finally, since the linear variation of the frequency can produce an audible sound similar to a siren or a chirp, the linear-FM signals are also called "chirps" The following Matlab code will synthesize a chirp:Explanation / Answer
Chirp, or Linearly Swept Frequency