New answers tagged phase
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Deriving the Thiran Coefficients for order 2
This is not a derivation from scratch but I start from a result given by Thiran in [1]. The derivation in [1] is very elegant but mathematically quite demanding. The elegance lies in the fact that a ...
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CFO Estimation for CPM
What would universally work if an ininitial estimate is good enough to start reception is a decision feedback CFO estimator: you observe some phase sequence $\Phi[n]$, decide on some symbols $\hat s[n]...
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Accepted
Effect of FFT length on phase response
The plots don't show a 90 degree phase shift, am I doing something wrong in my plot?
Why would they show a 90 degree phase shift? Shift against what refrence?
Your signal is a sine shifted by $-\pi/2$...
- 48.2k
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Deriving the Thiran Coefficients for order 2
$$\begin{align}
G(z) &= \frac{b + az^{-1} + z^{-2}}{1 + az^{-1} + bz^{-2}} \\
\\
&= z^{-2}\frac{1 + az + bz^{2}}{1 + az^{-1} + bz^{-2}} \\
\\
\\
G(e^{i \omega}) &= e^{-i 2\omega} \frac{1 + ...
- 21.4k
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Best phase unwrapping algorithm in single precision
I think that phase unwrapping is not the best solution for computing the instantaneous frequency. You can't avoid (approximative) differentiation, but it's more stable to directly use the signal and ...
- 92.4k
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Accepted
Apply Phase Shift Using FFT and complex exponential
Recall the time shift property of the Fourier Transform:
$$\mathcal{F}\{x(t - t_0)\} = e^{-j\omega t_0}X(\omega )$$
n = np.arange(len(t)) is wrong. You need the ...
- 6,814
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Accepted
Phase Response and Phase Delay
That's simply a consequence of the sign choice of the Fourier Transform. The forward transform uses $e^{-j\omega t}$ and the inverse $e^{+j\omega t}$. That choice makes the phase of a pure time delay ...
- 48.2k
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vote
Accepted
Shifting phase with boolean logic gate
Using these conventions:
the frequency of the input signal is "1", "2", "3" or "4", where the frequency of the yellow wave is "1". and
The phase of ...
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