Is the phase spectrum an essential piece of info?
This means that the phase spectrum is an essential piece of info (along with the magnitude). Alternatively, one can represent the signal by its I and Q (in phase and quadrature components). Complex representations of signals always have two components, magnitude and phase or real and imaginary parts.
How is the amplitude spectrum related to the phase spectrum?
Graphical presentation of these two quantities as function of frequency gives amplitude spectrum (characteristics) and phase spectrum (characteristics). Amplitude and phase, for a given frequency and given signal, can be calculated from Fourier transform. Both of them usually are a function of frequency, i.e. A (f) and Phi (f).
How are phase spectra used to calculate delay spread?
If you compare the amplitude spectra of a reference signal with its corrupted version, you get the information about the way noise effected this signal. Consequently, if you compare the phase spectra of these two signals, you get the delay spread information or dispersion, the information about phase distortion.
What is contained in the phase spectrum of a radar?
In radar interferometry (c.f. works by Hysell and Chau) one computes the Doppler power spectrum among several antennas, having both both magnitude and phase, which permits one to deduce independently the angular distribution of targets at the same range with different Doppler content.
How is the frequency content of a power spectrum measured?
FFTs and the Power Spectrum are useful for measuring the frequency content of stationary or transient signals. FFTs produce the average frequency content of a signal over the entire time that the signal was acquired.
How is phi ( F ) measured in the phase spectrum?
Phi (f) in radians (or degree) is measured relative to periodicity of input signal. Classical Spectral-Analyzers plotted on screen these two quantities in vertical axis, while horizontal axis and center of BPF were changed linearly (axis position from left-to-right and center of BPF frequency from fmin to fmax).