Find the coefficients for expanding y=1 in a Fourier series
over the interval [-1,1].
Find the coefficients for expanding y=x in a Fourier series
over the interval [-1,1].
Signals and systems
Find the complex exponential Fourier series for the following
signals. In each case plot the magnitude and phase line spectra for
k ≥ 0.
(i) x1(t) = cos(5t + 45o )
(ii) x2(t) = sin2 (t)
(iii) x3(t) = cos(3t) + cos(5t)]
Expand in Fourier series:
Expand in fourier sine and fourier cosine series of: f(x) =
x(L-x), 0<x<L
Expand in fourier cosine series: f(x) = sinx, 0<x<pi
Expand in fourier series f(x) = 2pi*x-x^2, 0<x<2pi,
assuming that f is periodic of period 2pi, that is,
f(x+2pi)=f(x)
Given the following functions, can you have the corresponding a)
Fourier series, b) Fourier transform and c) Laplace transform? If
yes, find them, if not, explain why you can not.
A, x(t) = -1+cos(2t) +
sin(pai*t+1)
(4-1)
B, x(t) = 2d(t) cos(2t) +d(t-1.5p)
sin(2t)
(4-2)
C, x(t) = 1+cos(1.5t) +
cos(4t)
(4-3)
Given the following functions, can you have the corresponding a)
Fourier series, b) Fourier transform and c) Laplace transform? If
yes, find them, if not, explain why you can not.
A, x(t) = -1+cos(2t) +
sin(pt+1) (4-1)
B, x(t) =2d(t) cos(2t) +d(t-1.5p)
sin(2t) (4-2)
C, x(t) = 1+cos(1.5t) +
cos(4t) (4-3)