Recent content by Captain1024

Also, here is what I have for my MATLAB script so far: Link: http://i.imgur.com/c5z3NwQ.jpg

I think I realize my mistake. When defined in terms of the triangular function, the given function is indeed ##y(t)=2tri(\frac{t}{2})-tri(t)##. FT of ##\mathrm{tri}(t)##: ##\mathrm{sinc}^2(f)## FT of ##\mathrm{tri}(\frac{t}{2})##: ##\mathrm{sinc}^2(2f)## Therefore FT of y(t)...

Well, ##y(t)=2\mathrm{tri}(\frac{t}{2})-\mathrm{tri}(t)## is equivalent to a constant +1. So, that matches the given function over the region ##-1\leq t\leq 1## only. To be honest, I'm stuck. I have not found a transform that agrees with the given function. Is the following correct for...

The book I am using is "Introduction to Analog & Digital Communications" by Simon Haykin & Michael Moher, 2nd ed. They define the Fourier transform of a triangular pulse as ##AT^2\mathrm{sinc}^2(fT)##. That is all I could find in the book. However, I found the following definition of the unit...

Homework Statement Link: http://i.imgur.com/JSm3Tqt.png Homework Equations ##\omega=2\pi t## Fourier: ## Y(f)=\int ^{\infty}_{-\infty}y(t)\mathrm{exp}(-j\omega t)dt## Linearity Property: ##ay_1(t)+by_2(t)=aY_1(f)+bY_2(f)##, where a and b are constants Scaling Property...

I'm finally making some progress on this: Trig form: ##x(t)=a_0+\sum ^{\infty} _{n=1}a_ncos(2\pi ftn)+\sum ^{\infty}_{n=1}b_nsin(2\pi ftn)##, where n is the harmonic number. Where ##a_0=\frac{1}{T}\int ^{\frac{t}{2}}_{\frac{-T}{2}}x(t)dt##. Simplifying, ##a_0=\frac{1}{T}\int...

Homework Statement Image Link Homework Equations Switching Frequency ##f_s=\frac{1}{T_s}## ##K=\frac{2L}{RT_s}##, ##K_{CR}=(D')^2## ##R=\frac{V_o^2}{P_L}## In CCM: ##D'=(1-D)##, ##D'=\frac{-DV_{IN}}{V_O}## In DCM: ##D_2=\sqrt{K}##, ##\frac{V_O}{V_{IN}}=\frac{-D_1D_2R}{2Lf_s}## The Attempt at...

I guess what I am getting at is, does there exist a set of equations that works for every periodic function to find the Fourier coefficients? Or, do you have to modify your approach every time? I hadn't been receiving much positive feedback, so I just wanted to take a step back first. So...

Fine. Based on the reply's to this thread thus far, I know next to nothing about how to solve this problem. I accept this. So, if you are willing, I would like to solve this problem together step by step. Based on what I read at this link: Any periodic function may be expressed as an infinite...

Complex coefficients c_n (exponential form?) c_0 will remain the same value of 1/2 c_n=\frac{1}{T_0}\int ^{\frac{T_0}{2}}_{\frac{-T_0}{2}}x(t)\mathrm{exp}(-j\omega nt)dt =\frac{1}{T_0}(1+\int ^{t_0}_{-t_0}e^{-j\omega nt}dt) =\frac{1}{T_0}(1+[\frac{-1}{j\omega n}e^{-j\omega nt}]^{t_0}_{-t_0})...

I probably knew the difference at some point in the past, but I could use a refresher. I believe the answers i have calculated are in the trig form. To get the exponential form, I'm thinking I will need to use Euler's formula. Is this correct?

No. Homework has been turned in though. The solution will be available to me soon.

Homework Statement Link: http://i.imgur.com/klFmtTH.png Homework Equations a_0=\frac{1}{T_0}\int ^{T_0}_{0}x(t)dt a_n=\frac{2}{T_0}\int ^{\frac{T_0}{2}}_{\frac{-T_0}{2}}x(t)cos(n\omega t)dt \omega =2\pi f=\frac{2\pi}{T_0} The Attempt at a Solution Firstly, x(t) is an even function because...

Homework Statement Find expressions for VL1, VL2, IC1, IC2 for each of the two intervals of a SEPIC converter under CCM operation. link: http://i.imgur.com/EY98QbC.png Homework EquationsThe Attempt at a Solution link: http://i.imgur.com/SskXRoC.jpg?1

I figured out my mistake. My line for Equation 4 should say P_{IN}=V_{IN}*DI_L=... After that it worked out.