Homework Statement
The shielding efficiency of an aperture depends on e−αd, where α is the frequency-dependent attenuation constant of the aperture and d is the thickness of the material (or the cutoff waveguide) at frequencies below cutoff.
where ωc=2πfc.
Calculate α for an air-vent...
Homework Statement
A high-speed optical data communication system is composed of a transmitter, an unamplified transmission fiber link, and a receiver. The optical transmitter generates a 10-Gb/s non-return-to-zero (NRZ) signal using a 1550-nm laser diode (linewidth=2 MHz) followed by a...
ZV is close to 2K ohms? Why is that?
I thought the combined resistance ZV is calculated as ZV = [1/100 + 2000 + 1/100]-1 = 0.0005 if CV = CCV. This gives me the voltage divider ZV / (ZV + [jwCCV]-1) = 0.005/(0.005 + 2000) = 2.5 * 10-7, which doesn't give me the CCC value of -26.4dB.
Homework Statement
Compute the cable-to-cable crosstalk due to capacitive coupling in a harness between two cable pairs having an average separation distance of 3 mm and a 10 m in a cable tray. The cable diameters are 1 mm and both cables are operating at a 100 ohm impedance level. Assume h = 5...
Homework Statement
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I have this system below.
It is the schematic of a linear accelerometer moving horizontally, where m is the total mass of the slide, b denotes the viscous damping, and k represents the spring constant. The relative position between the moving mass and the case is...
I'm learning about source coding, and many of the books/resources I've read give examples of the source Xn being defined as a sequence of iid random variables. How about when the sequence is independent but belong to 2 distinct distributions (e.g. Px when Xi is odd, and Px' when Xi is even)...
Homework Statement
Hi all,
I need help with deriving a third order accurate scheme for the inhomogeneous equation u_t + a u_x = f based on the approach used to derive the Lax-Wendroff scheme, that is, replacing the time derivatives of u by space derivatives of u.
The Attempt at a...
Homework Statement
Hi all, I need help with determining the accuracy of finding eigenvalues of defective matrix.
The question asks: When a matrix has a defective eigenvalue, the condition number for computing its eigenvalues is infinity. Does this mean that these eigenvalues cannot be...
Homework Statement
Consider the plane dynamic system \dot{x} = P(x,y), \dot{y} = Q(x,y) with the condition that O(0,0) is a critical point. Suppose P(-x,y) = -P(x,y) and Q(-x,y) = Q(x,y). Is the critical point (0,0) a center? Why?
The Attempt at a Solution
I know that for (0,0) to be a...
Homework Statement
Hi all,
I'm trying to implement the QR method for solving the linear system Ax = b. The QR factorization is achieved using Householder method.
The Attempt at a Solution
The main function is
function x = lin_solve(A,b)
[R,v] = householder(A);
y = Qt_times_b(v,b);
x...
Homework Statement
Hi all,
I need help proving the result:
Let g(x) = x'Mx, where M is a n-by-n real constant matrix and x' denotes the transpose of vector x. Then the derivative of g(x) = (M + M')x.
The Attempt at a Solution
I was thinking of using product rule on x'(Mx) to get...