# Tag Info

1 vote

### Overcoming the negative instantaneous frequencies from Hilbert transform

I tried to reproduce the paper you attached to get the corrected Instantaneous Phase and Frequency. So as far as I understood, the velocity vector is the derivation of the analytical signal, so here ...
• 11

### Instantaneous frequency vs time for a piecewise signal

Measurements of instantaneous frequency are highly susceptible to noise given the derivative operation which is a high pass filter. The results ultimately for a signal with noise present (as it ...
• 43.8k

### How do I convert a sampled complex signal to a real signal?

Let us assume a baseband complex sampled noisy signal with a power spectrum as depicted below: The signal spectrum is depicted with a notch to emphasize that it is complex and therefore not conjugate ...
Accepted

### Does the Kramer-Kronig relations apply to this example $f(t) =\left(1-t^2\right)^4\cdot\theta(1-t^2)$?

The function $f(t)$ is real-valued and even, and so is its Fourier transform $F(\omega)$. Clearly, the real and imaginary parts (the latter being zero) of $F(\omega)$ are not related via the Hilbert ...
• 84.5k
Accepted

### Can we find the RMS of a signal from its envelope?

Given a real signal $x(t)$, its complex analytic signal $x_a(t)$, and the envelope as the absolute magnitude of the analytic signal: $|x_a(t)|$, we can relate the RMS of the envelope to the RMS of the ...
• 43.8k