Questions tagged [signal-energy]
The signal-energy tag has no usage guidance.
70
questions
0
votes
1answer
19 views
Calculating SNR & Es/No and placing noise onto a signal
I have a signal power of -12 dBW from a 16 QAM signal after the first RRC.
I want to create a channel SNR of 30 dB
I calculate my noise power from this, i.e. its -42 dBW and make the noise to add to ...
0
votes
1answer
44 views
Concept of energy threshold
I am analyzing some program responsible for detecting the correct signal in the channel on the receiver side. It seems to me that such an implementation allows for the detection of the correct packets ...
0
votes
1answer
33 views
How do I find the Energy Density Function of $g(t)$ if i am not given an input or impulse response?
$$g(t)=\frac{12a}{t^2+a^2}$$
I need to find the Energy Density Function of the signal, but everywhere I look has an input and an impulse response. Does anyone know how to solve this. Would I just take ...
0
votes
2answers
28 views
Looking for a Mathematical Derivation for the Energy Formula in Continuous-time Domain
I have just started my signal and system course and I would like to know how we derive the corresponding formula for the energy of a continuous-time signal $x(t)$ over an interval $[t_{1},t_{2}]$ :
$$...
0
votes
2answers
30 views
Energy of a signal with decreasing amplitude
I read that a infinite extension continuous time signal with decreasing amplitude will always be an energy signal. Though if you take the integral of, for example, f(t)=1/(t+1) we can see that is ...
0
votes
1answer
46 views
How to find the energy of a rect signal?
Given a signal
$$
x(t)=-2\operatorname{rect}\left(\frac t4\right)
$$
What is the energy of signal $-x(t + 1)$?
What are the steps needed to find the energy?
0
votes
1answer
52 views
Spectral Property of Bandlimited Quantized Signal
recently I meet a problem.
I generate a random Gaussian signal $x$ with mean $0$ in MATLAB. And use a $4$th lowpass Butterworth filter to acquire $x'$. Then I use the binary rounding quantization ...
1
vote
2answers
67 views
Is this an energy or power signal?
Is the given input signal x[n] an energy or power signal?
The image shows what I did so far. Is it correct?
Thank you!
EDIT:
I solved it again, please tell me if I did it correctly this time.
$$E= \...
2
votes
2answers
98 views
Output of a stable LTI system
Let $\mathcal{L}$ be a stable LTI system. Is it true that if input has finite energy then output also has finite energy? I'm not sure about that. We know that $$\int_{-\infty}^{+\infty}|h(t)|dt\lt\...
0
votes
0answers
20 views
Computing Energy of sparsly sampled spherical function
I'm trying to understand the following paper: http://www.cse.cuhk.edu.hk/~ttwong/papers/shfit/shfit.pdf
On page 8, the energy of the function Ec is mentioned. How ...
0
votes
0answers
22 views
Energy or power signal for continuous signal
I have solved $w(t) = 1dt$ and determined it as power but when $w(t) =\Pi\left(\frac{t}{T_0}\right)$ it is energy.
1
vote
0answers
62 views
Finding the Energy & Power of a Composition of Odd and Even Signal
Given two CT signals $x_1(t)$ (even signal) and $x_2(t)$ (odd signal). If $x_1(t)+x_2(t)$ is an even signal then what is the energy and power of $x_2(t)$.
My Attempt
$\int \limits _{-\infty}^{+\infty}$...
1
vote
2answers
33 views
Partitioning the energy of a signal between its components
In physics, the total energy of a system is the summed energy of its component subsystems, and energy must be conserved, ie, adding the energy of the components gives the total energy.
In signal ...
1
vote
2answers
50 views
How are the constellation point coordinates determined in digital modulation
I need to understand where the concept of the distance comes from. What I mean is, how do we know what coordinates are to assign to points in the constellation. For example here for QPSK the points ...
1
vote
2answers
63 views
Showing error energy goes to zero
Let
$$\hat{x}[k] = \frac{1}{2\pi}\int_{-W}^{W}X(e^{j\omega})e^{j\omega k}d\omega,\label{ift}\tag1$$
where
$$X(e^{j\omega}) = \sum_{n=-\infty}^{+\infty} x[n]e^{-j\omega n}\label{dft}\tag2$$
Also,
$$d[k]...
1
vote
0answers
35 views
What is the “Energy” equivalent of the Magnitude Spectrum
I have a semantic issue regarding the discrete spectrum $X[k]$ of a time domain signal with limited length $x[n]$, so we're talking about the FFT. Now, when I what to compare the bandwidth and ...
0
votes
2answers
61 views
Energy of audio signal
From audio file [y,FS]=something.wav
So the y is typically N cross 2 matrix
I want calculate energy so i.e sum(abs(y.^2))
So when I apply these I end with two answer for each column. So I want ...
0
votes
2answers
31 views
Simultaneously minimize and maximize two cost functions
I want to solve the following optimization problem, in which I have two cost functions $J_1 = \mathbf{w}^T R_1 \mathbf{w}$ and $J_2 = \mathbf{w}^T R_2 \mathbf{w}$, where $R_1$ and $R_2$ are covariance ...
4
votes
2answers
189 views
Continuous vs discrete signal energy
I am looking to calculate the signal energy of real, sampled acoustic data. According to this source, the energy of a continuous signal is:
$$\tag{1}\hspace{1cm} E_x = \int_{-\infty}^{+\infty}|x(t)|^...
8
votes
5answers
700 views
Inconsistency between the units of power spectral density and the definition that people often give
Perhaps someone can help me resolve something - this is my understanding:
In deterministic signal analysis, for a signal $x(t)$ the signal energy is defined by
$$E_{\textrm{s}} = \int^{+\infty}_{-\...
0
votes
1answer
28 views
Manipulating line level signals
I need to manage several line level signals (physically, not in software), and need to know what to expect. I was expecting AC signals, but am not quite sure. Are line level audio signals AC or DC? ...
2
votes
1answer
66 views
Bandwith of a energy signal
I'm studying for my finals , and I'm struggling with finding bandwidths.
I have this energy spectral density : ĪØ(f)=rect(f) , and I need to find the bandwith, 3 dB band and the band with 90 % power.
...
1
vote
1answer
67 views
Analytically determine a PSD from a transient function
This question is related to a series of questions I have asked about the units of PSD and ESDs. I include it as a separate question as it may have worth in isolation.
As I understand it to compute ...
1
vote
0answers
21 views
Effect of filtering on Energy of a Digital Signal
I am trying to detect (not remove) noise from the digital signal to get meaningful information out of it.
The signal I need is in the frequency range of 0.1 Hz to 10 Hz. Anything beyond this is just ...
0
votes
0answers
22 views
How to compute the energy of a NON-STATIONARY (transient) random discrete-time signal
When computing the energy of a NON-STATIONARY (transient) random discrete-time signal $x(n)$, does it make more sense to compute the energy as
$ E=\sum_1^N{x^2(n)}$ over all the $N$ samples
or does ...
1
vote
1answer
181 views
Energy definition for Autocorrelation lag 0 and lag 1 for complex signals
I am studying the role of an auto-correlation matrix for random signals and the difference of energy between a lag 0 and lag 1 matrix.
Consider a complex input signal $x(k)=[x1,x2]^T$ and $x(k-1)=[x0,...
4
votes
1answer
420 views
Is there an equivalent of Parseval's theorem for wavelets?
Parseval's theorem can be interpreted as:
... the total energy of a signal can be calculated by summing power-per-sample across time or spectral power across frequency.
For the case of a signal $x(...
0
votes
1answer
24 views
Is it possible to have high energy compaction in audio signal? [closed]
We all know that the energy compactness in image can be achieved in high scale.But in case of audio signal is it possible to have such high energy compactness?
2
votes
2answers
549 views
Unit of Energy Spectral Density
The continuous-time Fourier Transform (CTFT) of a signal $x(t)$ (with unit $unit$) is:
$$X(\omega)=\int_{-\infty}^{\infty} x(t)e^{-i\omega t}dt$$
which should be in $unit\cdot sec$ or $\frac{unit}{...
0
votes
1answer
58 views
SNR contains $\log N$ term where $N$ stands for number of samples
Sampling the signal$ $N times increases the signal energy by a factor of $N^2$ and the noise energy by a factor of $N$. Why? This explanation is written for
SNR(dB) = signal peak(dB) ā ...
0
votes
1answer
611 views
Absolute and Square Summability & Integration of sinc function
Is the sinc function both absolutely summable (L1 norm for Continuous time signals and l1 norm for Discrete time signals) and square summable (L2 norm for Continuous time signals and l2 norm for ...
5
votes
3answers
1k views
What is energy in image processing?
There are several web articles on the topic, but, after having read them, I still don't know what "energy" is, in the context of computer vision (CV) and image processing (IP). It is related to ...
1
vote
1answer
883 views
Error analysis for uniform quantization of uniform input
I was told that
error energy $$\delta^2_e=\Delta^2/12,\quad \Delta=(B-A)/2^R$$
signal energy $$\delta^2_x = (B-A)^2/12$$
Here signal bounded:$A\le x[n]\le B.$ $[A,B]$ is split into $2^R$ ...
3
votes
1answer
82 views
Nyquist Rate (Sampling Frequency) for $ {f}^{2} \left( x, y \right) $
We are given that $f(x,y)$ is highest frequency is $\omega$ what will be the frequency sample rate if we want to restore the function of the form $g(x,y)=f^2(x,y)$
Would it be correct to say that ...
2
votes
1answer
69 views
Is there a relationship between Average energy of transmission and power saving
As mentioned in many books, the average energy of transmitted symbol is given by:
$E_s = (2/3)(M - 1) $
where $M$ indicated the modulation order.
Suppose that we are using in the first scenario $...
-1
votes
1answer
45 views
What's the maximum energy for a finite signal?
I'm trying to calculate the spectral density of a signal. What I'm expecting is a scale in dbFS where 0 dbFS would be the maximal theorical energy if all my signal is concentrated in a single ...
0
votes
1answer
2k views
Average Energy of modified QAM Constellation
How to compute the average energy for the modified 16-QAM constellation below? I know that for regular/rectangular 16-QAM we can utilize the 4-PAM along each axes but I'm not sure how can we find $E_{...
0
votes
1answer
52 views
Wireless Body Area Networks with Minimum Energy Consumption [closed]
For adaptive compressive sensing(cs),the sensing matrix is related to the input signal.
For example, in rakeness-based(cs), the sensing matrix is obtained by solving an optimization problem which ...
0
votes
1answer
94 views
Energy of compressed signals
I have tried a code to compress a signal using Compressed Sensing(CS).
The input signal is $x$ and the compressed signal $y$ is given by :
$y=Ī¦*x$ where $Ī¦$ is the sensing matrix.
I have used ...
0
votes
1answer
2k views
Negative exponential signal's energy and power
Earlier I have dealt with exponential functions multiplied with unit step function. But, energy and power of exponential function alone comes out to be infinite when I put limits of the integrals to ...
0
votes
1answer
292 views
Calculating the energy of trapezoid wave
Here is the trapezoid wave,although i know we can use $\int^{4}_0 |x(t)|^2dt$ to calculate its power,but i want to divide this trapezoid to right triangle$(t=0$~$2)$,and a square ($(t=2$~$4)$).
I ...
0
votes
3answers
521 views
Is $\arctan(t)$ an energy or power signal?
Is the function $\arctan(t)$ an energy or power signal?
I've tried working out the integrals for energy and power but I get stuck on both.
1
vote
1answer
270 views
Band energy and Parseval theorem
In Python, I consider a dummy signal as follows:
fs = 512
sig = np.random.standard_normal((fs,))
sig corresponds to 1s of ...
1
vote
1answer
48 views
Need help deriving the energy of a signal
I am solving old exam problems in preparation of my exam in signals, and I'm having trouble with a question.
For a continuous aperiodic signal with the spectrum $X(\omega)=\exp(-\omega^2)$
I am to ...
2
votes
1answer
381 views
What is signal-energy?
What is energy in terms of signal processing? You can read here, that energy is
I just need a simple everyday-example for that energy. And yes, bringing an example like
$x(t)$ representing the ...
1
vote
1answer
207 views
Total Variation of a Signal - Is It Proportional to Signal Energy?
In an audio application, I found it very useful to measure the total variation of a signal $y[n]$
$$\sum_{n=n_0}^{n_0+N} |y[n]-y[n-1]|$$
over a window of time length $N$ (discrete analogous to total ...
1
vote
2answers
9k views
Energy of Sinc function
How to find energy of sinc function $x(t) = \frac{\sin \pi t}{\pi t}$ with out the help of Fourier transform or Parseval's theorem?
0
votes
1answer
59 views
Recommended literature to learn essential aspects of signals and its propagation [closed]
Where can I learn about signal's features. For instance mean, power, amplitude, frequency, energy, how they propagate in space or any other medium?.
What power means its amplitude increases and ...
6
votes
2answers
5k views
Even and odd signal energy property
In Signals and Systems by A. V. Oppenheim, A. S. Willsky, S. Hamid Nawab, 2nd Edition, and Signals and Systems, Simon Haykins, Barry Van Veen, 2nd Edition there is a problem related to energy of real-...
1
vote
0answers
195 views
Parseval's Theorm and Effective Bandwidth
This question says that RMS bandwidth (effective bandwidth) is defined based on the carrier frequency of a signal. This makes intuitive sense to me that the carrier frequency shouldn't determine the ...
