# Questions tagged [fourier-series]

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### Fourier series representation of a full wave rectifier output

I am trying to compute the Fourier series representation of a full wave rectifier output. The equation of the signal is: $x_8(t) = | \cos (2 \pi f_o t)$ | I have tried to find the Fourier series ...
0answers
63 views

### Power contained in a signal

Given a signal $$x(t)=16\cos(20\pi t+\frac\pi 4)+6\cos(30\pi t+\frac\pi 6)+4\cos(40\pi t+\frac\pi 3)$$how can I calculate the power contained in a frequency interval, say 12Hz to 22Hz. The total power ...
1answer
51 views

### The magnitude spectrum of a sharpening filter

I'm trying to derive an expression for the magnitude spectrum of the following sharpening filter. $$g(m,n) = \delta(m,n)+\lambda (\delta(m,n) - h(m,n))$$ where $\lambda$ is some positive constant ...
0answers
46 views

### Forecasting that FFT result

I have the following FFT result charts. Searching for a way to forecast the future AMPLITUDE steps from the Time Domain Plot if possible, or the next maximum/minimum deviation based on some previous ...
1answer
65 views

### Why is the continuous time Fourier series of DC signal an impulse?

In case of continuous time Fourier transform(CTFT), I can easily calculate the Fourier transform of DC signal by using Fourier duality or inverse CTFT. But I don't know how to calculate the continuous ...
1answer
69 views

### Fourier transform of time division

I know that Fourier transform of $t^n f(t)= i^n \frac{d}{d\omega^n} F(\omega)$. But does this work when $n<0$? Is there any direct relation to compute the Fourier transform of $\frac{f(t)}{t}$?
0answers
52 views

### How to calculate fourier coefficients of sum of two discrete time with different fundamental periods

Assume that we have two discrete-time signals named x[n] with fundamental period 3 and fourier coefficients ak (k from 1 to 3), and y[n] with fundamental period 5 and fourier coefficients bk (k from 1 ...
0answers
50 views

### Fourier series expansion of $x_1(t) = \sum _{-\infty}^{\infty} \Delta (t-2n)$

I want to evaluate the Fourier series expansion of $x_1(t) = \sum _{-\infty}^{\infty} \Delta (t-2n)$, where $\Delta (t)$ is a triangular function defined as: I have done the following ...
0answers
67 views

### Is there an analogy of the Fourier-decomposition in the Laplace space to decompose a signal to a few components?

I have a signal from which I know, that it is the sum of a few, exponentially decaying components. I want to find these components. If it would be a sum of some sinusiod waves, it would be easy to ...
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300 views

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### Generation of Aysnchronous signals in matlab

I have to develop the MatLab code for a signal to find how the frequency and amplitude content changes during the phase of its propagation from one place to other. It has to do with Coherency losses ...
0answers
15 views

### Square pulse test of Upwind Finite Differences

I`m analyzing the numerical methods for the 1D convection equation for stability, consistency, and accuracy. I want to see How does this square pulse move in domain and time? Here is my code % ...
1answer
41 views

### multiplication of a function with a Fourier-transformed equals to Fourier-transformed with a function

I already showed b item using the fact that it is $h\left(0\right)=\int \:f\left(t\right)g\left(0-t\right)dt$ I struggle a lot of hours trying to find the trick in item C. Can anyone help please ?
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1answer
124 views

### Fourier series qn determine the fourier series coefficients

Can someone please help me with this Fourier series question: Determine the Fourier series coefficients of $x(t)$ given as $x(t) = > \cos4t +\sin8t+3$?
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29 views

### Can anyone please provide a solution to attached question?

Please provide the solution, the answer given is option (a) however mine answer comes out to be different and none of these. I want to make sure that mine approach is right.