All Questions
Tagged with bandpass power-spectral-density
9 questions
1
vote
2
answers
153
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PSD of real and imaginary parts of complex envelope of a bandpass signal
I know that we can write a real bandpass signal x(t) as:
$x(t)=x_c(t)\cos\omega_ct + x_s(t)\sin\omega_ct$
$x_c(t) = 2x(t)\cos\omega_ct$ for $|f|<W$
$x_s(t) = 2x(t)\sin\omega_ct$ for ...
- 35
5
votes
4
answers
379
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Bandpass Stationary Stochastic Process
I was following this interesting post by a new user Rubem Pacelli and got stuck at Proakis' referenced definition (see Section 4-1-4 starting on page 159 here). The math, all repeated further below, ...
- 55k
0
votes
1
answer
126
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Signal power after frequency shift with different frequency than the carrier frequency
I have this received signal in passband
$$
\begin{split}
r(t)=&\Re\left\{\tilde{x}_1(t)e^{j2\pi f_1t}+\tilde{x}_2(t)e^{j2\pi f_2t}\right\}\\
=&\Re\left\{e^{j2\pi f_1t}\underbrace{\left[\tilde{...
- 141
1
vote
1
answer
253
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Plotting curved peaks on PSD graph
I am a PhD student with little engineering experience, currently attempting to recreate the signal processing techniques used in this paper: Monitoring Vital Signs and Postures During Sleep Using WiFi ...
- 135
1
vote
0
answers
572
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What is the power spectral density after filtering?
Consider a signal $x(t)$, which is input to a pulse shaping filter with transfer function $g_t(t)$:
$$x(t) = \sum_n d_n \delta(t-nT_s)$$
with $n$ an index from negative to positive infinity and $...
user25356
0
votes
0
answers
112
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How to preprocess such signals?
I am interested in denoising accerelation measurements, recorded in ambient vibration tests. Such tests consist in recording the vibrations of a mechanical structure, say a table for example. So say I ...
- 219
1
vote
1
answer
879
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Apply band pass filter (BPF) before calculating the power of a signal (PSD)?
From my understanding PSD tries to give a good estimation on the power each frequency attributes to the overall signal power.
If I am only interested in a frequency range $(\omega_0 \leq \omega \leq ...
- 113
2
votes
2
answers
1k
views
Signal power without FFT
I have an EEG signal thats about 1second long, sampling frequency of 256Hz, measured in microvolts, and I want to calculate the power of a specific frequency band (8-12Hz)
I believe the correct way ...
- 315
1
vote
1
answer
205
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Segmenting a frequency series: do we need band-pass filtering?
I am trying to implement what's called the "second spectrum". Basically, you do this:
Take a time series of length $N$.
Divide it into $m$ segment, each of length $N'=N/m$.
For each segment $m$, do a ...
- 394