# Questions tagged [signal-energy]

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### Can the total energy of a signal diverge while its average power converges to zero?

If the integral used to calculate the total energy for a continuous time real signal converges, its average power is equal to zero. But could the average power still equal zero if the total energy ...
63 views

### In the RMS bandwidth equation, why do we have the energy of the signal in the denominator?

In the following equation: $$B_{\rm rms}^2 = \frac{\displaystyle\int_{-\infty}^\infty f^2\lvert G(f)\rvert^2df}{\displaystyle\int_{-\infty}^\infty \lvert G(f)\rvert^2df}.$$ It is not clear why do we ...
1 vote
55 views

### How to calculate energy of a signal whose frequency is varying with time (like chirp signal or any audio signal) using Fourier coefficients

If I have two audio signals, say $A_{1}$ (music) and $A_{2}$ (Speech), I want to calculate the energy of the two signals for their relative comparisons. One method I can use is by adding the square of ...
195 views

### Power / energy of complex signals - physical interpretation

I am wondering about physical interpretation of energy / power for complex signals. E.g. for signal energy definition: \begin{equation} E=\int\limits_{-\infty}^{\infty}|x(t)|^2 \, \mathrm{d}t \end{...
169 views

### What is the exact difference between Parseval's theorem and Plancherel Theorem?

This question also discusses what I am asking but the answer states that Parseval's theorem is for periodic functions as per wikipedia's notation here. However, Parseval's relationship also holds for ... 184 views

### Autocorrelation of a random process

I have some doubt about the following exercise. Let's consider the signal $X(t)= \operatorname{rect}\left(\frac{t}{2A}\right)$ , where $A$ is a discrete random variable which can assume one value ...
114 views

### Parseval's theorem, Energy

I was wondering, how can Parsevals theorem (energy in time domain is equal to the energy in frequency domain) hold for sampling. I take three sampels from a sinc-function. This reduces the energy in ...
40 views

### Why am I not getting proper values of power(Px) and energy(Ex) signal as per book?

I am considering an energy signal in MATLAB as I am going through the book Signals and Systems Laboratory with MATLAB by Alex Palamides. My Matlab code is below: ...
1 vote
297 views

### Is there instantaneous energy for signals? Why is $\big|x(t)\big|^2$ instantaneous power?

Today I learned, instantaneous power is $$p_x(t) = |x(t)|^2$$ and I've known, energy is $$E_x = \int_{-\infty}^{\infty} |x(t)|^2 dt$$ What I also thought was, $|x(t)|^2$ is instantaneous energy, ...
173 views

### Complex Envelope

Two signals have arrived with different phases. The sum signal is given by $$x(t) = A\cos(2\pi f_ct) + B\cos(2\pi f_ct + \theta)$$ What is the complex envelope of $x(t)$? Need advice on how to get ...
110 views

### Energy ratio of signal

What is the energy ratio of signal at frequency domain? What is its mathematical formula at frequency domain and what can stand for? I found it in this paper https://www.researchgate.net/publication/...
32 views

### Description of Rectified Linear Unit with energy?

I am working through the book Geometric Deep Learning (https://arxiv.org/abs/2104.13478) and have hit the following descrition of Rectified Linear Unit (Chapter 5.1, page 70). Perhaps the most ...
1 vote
198 views

389 views

### Is there a relationship between the energies of the inputs to a convolution and the energy of its output?

I want to convolve discrete signals A and B. I can compute their energies beforehand by squaring the samples and summing the squares, but I'm curious if I can compute the energy of the signal I will ...
700 views

### Confusion regarding energy and power signals?

I know that when a signal has finite energy,it is energy signal and when its power is finite, it is power signal But what is exactly meaning of finite here? Zero also included? For example if a signal ...