Calculate the Fourier Series of the function below. Results
should be in full, closed-form series. Graph...
Calculate the Fourier Series of the function below. Results
should be in full, closed-form series. Graph using Octave or Matlab
to compare and check answer. Period is 2pi.
f(x)= 1 for -pi<x<-pi/2, -1 for -pi-2<x<0, 0 for
0<x<pi
Both parts.
a) identify Fourier series for full wave rectified sine function
f(x) = | sin(x) |.
b) f(t) = cos(t) but period of 6, so t = [-3,3] (L = 6) Find the
Fourier series of the resulting function.
i. Define Fourier Series and explain it usefulness. At what
instance can a function ?(?) be developed as a Fourier
series.
ii. If ?(?)=12(?−?), find the Fourier series of period 2? in the
interval (0,2?)
Identify the Fourier series for the half-wave rectified sine
function with period 2π. This is the function that is sin(x) when
sin(x) is positive, and zero when sin(x) is negative
Below are the results of a comparison of serum glucose results
for a series of samples analyzed at a Core Lab with the glucose
results for the same serum samples analyzed in the Emergency
Department (ED) Lab.
Specimen
#
Core
Lab
ED Lab
1
130
126
2
206
198
3
83
78
4
104
100
5
256
250
6
57
53
7
476
464
8
...
Find the Fourier Series for the function defined over -5 < x
< 5
f(x) = -2 when -5<x<0 and f(x) = 3 when 0<x<5
You can use either the real or complex form but must show
work.
Plot on Desmos the first 10 terms of the series along with the
original
function.
Based on fourier series
Q1: how to determine if a signal function x(t) is
periodic and ac. And what happens if there is x(t) = sint + cost +
sint? How would we know if ac/periodic?
Q2: What is fourier series and fourier
coefficients?
Q3: What is Fourier Trigonometric Series?