# Questions tagged [phase]

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### How to estimate Range, Doppler and Angle with FMCW MIMO Radar?

I am trying to obtain the range, Doppler and angle of arrival estimation with an TDM MIMO FMCW radar. Actually, I have completed this process. In doing so, however, a few things remained unclear. ...
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### Different complex pairs giving same magnitude and phase

I am trying to fit data of magnitude and phase to get complex pairs(for FFT), but I think it would be a wrong approach as different pairs of complex numbers can give same amplitude and phase , is my ...
41 views

### Phase of an FFT after zeropadding

How does zero padding effect phase of an FFT? I thought that symmetric zero padding in the center of an image or signal produces no phase change in the FFT (See Here), but I am getting different ...
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### Examples & Applications of Quadratic Phase Coupling

Quadratic phase coupling is defined as follows: Consider the signal $$x(t) = A_{1} \cos(\omega_{1}t+ \phi_{1}) + > A_{2}\cos(\omega_{2}t + \phi_{2})$$ which is passed through the quadratic ...
1 vote
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### Slope of phase function

Would appreciate some help understanding if I take the phase function of some transfer function and derivative it in the linear part of it which is around the resonant frequency what does this slope ...
1 vote
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### Autocorrelation & Cross-Correlation -> Main uses in DSP??

Please help understanding the DSP usage of Autocorrelation & Cross-correlation It seems this is strongly linked to calculating phase offsets, frequency offset for carrier recovery, symbol timing ...
39 views

### How to estimate the delay in time domain when knowing the phase shift in frequency domain

I am strugling with how to compute the exact value of delay in time-doamin when knowing phase shift in frequency domain. I have a analog circuit, I sweeped about 30 single tones frequency ranging from ...
1 vote
16 views

### How to get the time domain of a pulse after an amplitude mask or a phase mask has been applied?

I am a chemist, and I am studying ultrafast spectroscopy. In these spectrscopies, usually a short (femtosecond) pulse of light is used to probe chemical reactions. Now, one of the topics in our ...
91 views

### How do we determine the required sampling rate of a closed loop control system?

Consider the controlled dynamical system $\dot{x}_t = f(x_t, u(t-\tau_{sd}))$, where $0<\tau_{sd}$ denotes the time delay caused by sampling. It is intuitively clear that the time delay caused by ...
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### How does phase spectrum compensation works?

I'm trying to find some information that explains how phase spectrum compensation of non-stationary signals methods works, but I can't find an exact description of the procedure. I can't understand ...
45 views

### Phase difference of two time series

Consider we have two time series and for each of them , we know the phase (Phase1 and Phase2). We want to compute phase difference between these two time series. We define the phase difference as (...
25 views

### Recovering phase of harmonics in an arbitrary pulse train

I want to recover the phase of the harmonic components of a pulse train. There's a lot of cool resources out there that talk about recovering power spectra from signals in several ideal and non-ideal ...
83 views

### How to plot the phase response of Hilbert transform

The time domain signal of Hilbert transform is: $$h(t)=1/(\pi t)$$ Its frequency response is: $$H(j\omega)=-j~\text{sign}(\omega)$$ So if I plot the phase according to the equation I obtain: ...
1 vote
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### How to quantify a deterministic system?

So let me layout my question and the thought process on solving it. Say, we have some system, and we want to see how deterministic the system is. By that I mean, I mean if I put some signal (real ...
88 views

### Combination of type I FIR linear-phase systems

Let $h_1[n]$ and $h_2[n]$ be impulse responses of type I FIR linear-phase systems with lengths $M$ and $N$. What can be said about the phase response of the following filters? \$h_3[n] = h_1[n] + h_2[...