Mathematics Homework Solutions

Working with the Fourier Transform Derivation. Solution attached in jpg format.

An electrical signal comprises a single triangular pulse, as shown in Figure A4 as a function f(t) against time t. Derive the Fourier transform of the pulse. Sketch F(w) giving the positions of the points at which F(w)=0 and the magnitude of F(0).

Fourier analysis

(a) Explain the relationship between the spectral components indicated above and the corresponding graph showing the motion of the surface of the motor plotted as a function of time. What do they represent? (b) Given the amplitudes indicated in the above diagram, copy and complete the table below for the amplitude of the vib ...continues

Find the Fourier series, sketch the graph of the function for 3 periods

Not sure if its a Discontious graph (the way i drew it it was)? Is it an even or odd function, I know there are fourier series rules for them. I have 10 pages of calculations on paper (about 10 hours of effort over past three days) I have struggled with the repetitive integrals (keeping track) and I still can not get it to wra ...continues

Fourier Transform of a Normal Gaussian curve - 3 PARTS!!!

1) if f(x) is a Gaussian with unit area - show that the scaled and stretched function 1/a * f(x/a) also has unit area - that's the hardest part. The other parts (along with a detailed explanation of this one) are in an attachment as both mathcad v.11 and in an html file - they're the same thing - but if you don't have mathca ...continues

Fourier series

Please see attachment.

Fourier Series - Fourier Transform problem

My Problem is attached as jpg file.

Fourier Series Problem

My Problem is attached as jpg file.

Browse