Recent content by emanuel_hr

Multiply the whole eq by e^{x} then solve the resulting quadtatic eqn in e^{x} and afterwards keep the positive solution and take its logarithm to obtain x.

To solve this kind of problems, it is customary to choose one node as a reference(0V). After that you can calculate potentials with respect to that node and consequently power dissipations in resistors. My sugestion is to choose the node where the 3 voltage sources meet as your 0V referece.

That's correct.

ryy is the auto-correlation, witch you can think of as the correlation between the signal and shifted versions of itself. The relationship posted by you is actually ryy(0). ryy(n)= E{y(k)*yT(k-n)} That matrix is a symmetric toeplitz matrix. Indeed the first column is ryy, the second is...

Any ideas?

A long time after the switch is closed, we have a steady state regime, that is the capacitors are charged up so no current flows through them. You can simply eliminate them from the circuit(mentally) and then calculate the current and the voltage drops between their plates. Hope this helps.

I think it is correct, you have shown that: \int_{-\infty}^{+\infty}sinc(x)sinc(x-x_0)dx = \delta (x-x_{0}) For x_{0}=0 you have the inner product of the same vector(there's no shift) i.e. \left \langle sinc(x),sinc(x) \right \rangle = \int_{-\infty}^{+\infty}sinc(x)^{2}dx

The only difference form the classical projectile problem is that the gravitational field is replaced by the electrostatic field, they obey the same laws, only the expression of the force is different(G = mg for gravity, F = qE in this case, F plays the role of G).

It depends on the modulating technique. If it is amplitude modulation, then the spectrum of y(t) will stretch from 10khz to 40khz, thus for correct sampling(Nyquist-Shannon criterion) you need to sample y(t) at a freq of at least 80khz. As for z(t) the answer is the same as above, since the...

Hello everyone(my first post here), I hope I have posted in the right section... Homework Statement Given x[n] is a discrete stable(absolutely summable) sequence and its continuous Fourier transform X(e^{j\omega}) having the following properties: x[n]=0, \ \ \ \forall n<1 and...