# Fourier series help

• rusty009

#### rusty009

Hey, I am trying to solve this question:

obtain a Fourier series for a saw-tooth wave, a periodic signal, with period T, defined such that

x(t)=At -T/2<= t >= T/2

where A has a value of 1 at the maximum value of x(t)

i) obtain the Fourier series for this periodic signal in form

x(t)= $$\frac{A0}{2}$$+$$\sum$$[An*cos(2*pi*j*n*f0*t) + Bn*sin(2*pi*j*n*f0*t)]

where the limits of the $$\sum$$ are infinity and n=1

then,

ii) obtain the series in the form

x(t)= $$\sum$$Cn* exp(2*pi*j*n*f0*t)

where the limits of the $$\sum$$ are infinity to n=- infinity

Hey, I am trying to solve this question:

obtain a Fourier series for a saw-tooth wave, a periodic signal, with period T, defined such that

x(t)=At -T/2<= t >= T/2

where A has a value of 1 at the maximum value of x(t)

i) obtain the Fourier series for this periodic signal in form

x(t)= $$\frac{A0}{2}$$+$$\sum$$[An*cos(2*pi*j*n*f0*t) + Bn*sin(2*pi*j*n*f0*t)]

where the limits of the $$\sum$$ are infinity and n=1

then,

ii) obtain the series in the form

x(t)= $$\sum$$Cn* exp(2*pi*j*n*f0*t)

where the limits of the $$\sum$$ are infinity to n=- infinity

Bn left as an exercise to the reader 