Periodic signal Definition and 11 Threads

We know that periodic function can be written in terms of complex Fourier coefficients: $$f(t)=Fn0+\sum_{n=-\infty,n\neq 0}^{n=\infty}F_ne^{jnw_0t}$$, where $$Fn=\frac{1}{T}\int_{\tau}^{\tau+T}f(t)e^{-jnw_0t}dt$$ and $$Fn0$$ is DC component. Power spectrum of signal is defined as...

Hello everyone. This is my first post on here. I figured that I would give it a shot. Just as a quick background: I'm studying electrical engineering and I'm working an internship for a machine manufacturing company now. One of the projects I have been assigned is to come up with a system to...

Hi ☺️ i have to do a convolution with a periodic signal and a dirac impulse: x(t)=sen(πt)(u(t)−u(t−2)) h(t)=u(t−1)−u(t−3) The first is a periodic graph that intersect axis x in points 0 , 1 and 2 (ecc) The se ing is a rectangle ( Dirac impulse ) that intersect AxiS x in points 1 and 3. For...

Dear all, I am pretty bad at Simulink and I want to draw out a half wave sinusoid with the equation: I(t)=360sin(pi*t/0.4), 0<=t<=0.4 I(t)= 0 , 0.4<t<=1 Any help or suggestions? I've tried using the Sine block with amp=360 and freq=7.85 but the graph looks weird. I want to...

Compute the power contained in the periodic signal x(t) = 10.0[cos(160.7πt)]^4 The problem I have is I end up with a constant value for ak for all values of k -I start by using inverse Euler formula -Do the appropriate integration -Then consider k for odd and even values My working is...

Do non periodic signals have frequency? Because my pretty general rule f = 1/T says that they have zero frequency. But suppose i analyze a voice signal. We generally associate a term frequency with them. If you ever had used audacity you might have noticed that the graph is quite...

periodicty -- Sampling of a periodic signal... I have a doubt..is a signal which is sampled from a periodic signal also periodic?if so then is there a relation beyween the time period of the two?

Hi, I'm looking for an efficient algorithm to solve this kind of equation : S = (1-\nabla^2)B where both S(x,y) and B(x,y) can both be non-periodic functions. We know S and want to find out what is B. I was wondering if there was a 'well known' method to solve this kind or problem in the...

Homework Statement If a(t) is periodic and is composition of two signals such that a(t) = b(t) + c(t), then are b(t) and c(t) necessarily periodic? 2. The attempt at a solution I think that b(t) and c(t) must be! Is this correct?

Homework Statement For the periodic signal x(t)\,=\,2\,+\,\frac{1}{2}\,cos\left(t\,+\,45^{\circ}\right)\,+\,2\,cos\left(3\,t\right)\,-\,2\,sin\left(4\,t\,+\,30^{\circ}\right) Find the exponential Fourier series.Homework Equations Euler’s Formula...

Homework Statement If x(t) is a periodic signal with period T, show that x(at), a > 0, is a periodic signal with period \frac{T}{a}, and x\left(\frac{t}{b}\right), b > 0, is a periodic signal with period bT. Homework Equations HINT: Define x_a(t)\,=\,x(at) and...