Questions tagged [signal-energy]
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118 questions
0 votes
0 answers
31 views
Minimum $C/N$ and $E_{b}/N_{0}$ for 64QAM at a Given Bit Error Rate
A 64QAM transmitter operators at a bit rate of $120\space\text{Mbps}$, for a probability of bit error of $10^{-5}$. Determine the minimum $C/N$ and $E_{b}/N_{0}$ for a receiver bandwidth equal to the ...
- 1
0 votes
0 answers
38 views
Estimating SNR from analytic fourier transform and variance
Consider a received digital signal composed by a transmitted signal plus AWGN at a double sided power spectral density of $N_0/2$. This signal is sampled at a given frequency $f_s$ and the transmitted ...
- 1
3 votes
2 answers
488 views
Why the inconsistency: Cycles/sec, Hz, Radians/sec, Cycles/sample, Radians/sample
In continuous time we refer to frequency as "cycles/sec" and then for that created equally the reference "Hz". Then in angular units we have "radians/sec". Mapping to ...
- 58.2k
3 votes
1 answer
125 views
Why does the definition of discrete signal energy not take into consideration the sample rate?
The energy of a discrete signal is defined as: $$ E_x = \sum\limits_{n=-\infty}^{\infty} \big| x[n] \big|^2 $$ This definition seems odd in the sense that it could be influenced by sample rate. ...
- 961
0 votes
0 answers
60 views
What is the practical use of "signal power" if the signal itself does not relate to physical power?
In general, a signal is defined to have "power" even if that signal is not related to the appropriate physical units. For example, if I had a signal that represented the outside temperature ...
- 961
1 vote
3 answers
506 views
Was the definition of signal energy influenced by Parseval's Theorem?
Parseval's Theorem states that the integral of a signal squared is equal to the integral of the transformed signal squared. The Fourier transform is one transform that satisfies this principal: $$ \...
- 961
2 votes
3 answers
157 views
Is the square term in the definition of signal instantaneous power $\big|x(t)\big|^2$ technically arbitrary?
When studying about the power and energy of signals, the definitions appear to be heavily influenced by the physical quantities of current and voltage. For example, the instantaneous power of the ...
- 961
1 vote
0 answers
46 views
Different Definitions of Energy / ESD in DFT / DTFT
I'm trying to work through the definition of energy spectral density (ESD) as given in the SciPy Signal Processing docs "Spectral Estimation" section. I'll use their symbols of sampling ...
- 313
1 vote
2 answers
128 views
How to calulate a power of real-valued signal in watts?
I was Googling to find the answer to my question but did not succeed. Given a discrete real-valued signal with $N$ samples and $F_{s}$ as the sampling frequency. Asked to calculate the power of the ...
1 vote
0 answers
206 views
Find a specific sample in an audio file
I'm trying to find each occurrence of a kick drum sample in a piece of music. I have a reference sample for this kick. I initially used numpy.correlate to find the locations but ran into issues for ...
- 294
0 votes
1 answer
96 views
Wrong matched filter sidelobe level for linear chirp despite (invalid ?) energy normalization
I'm trying to reproduce the -13.2 dB sidelobe level typically observed for a linear chirp pulse (cf. for instance this MATLAB documentation page: ...
- 222
0 votes
1 answer
118 views
Energy as mean of absolutes of data samples
Normally, we find the energy of a given signal as $\sum{{x_n}^2}$. But, what if I compute, energy as $\sum{|x_n|}$. In the latter case, if I want energy in dB, which formula should I use - $10\log_{10}...
- 11
3 votes
5 answers
635 views
Energy and Power: Power Spectral Density is units of Energy
To help focus answers: The following is specific to “Energy” and “Power” as used for signal processing, not physical units of energy and power (then to ask can units of “Watts” and “Joules” be used, ...
- 58.2k
0 votes
2 answers
90 views
Output of time-continuous linear system with a phase shifter as impulse response
I stumbled upon a false/true statement which goes: A time-continuous linear system, whose impulse response $c(t) = \frac{1}{\pi t}$ has a pole at the origin, always produces an output signal $y(t)$ ...
- 11
2 votes
2 answers
1k views
Why is energy zero at zero bandwidth?
From the video lecture on noise analysis by Razavi here. Can anyone explain in more detail what Razavi said here? Why is the energy at a single frequency (zero bandwidth) zero? Lets look at the ...
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