- #1

- 69

- 0

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

where the limits of the [tex]\sum[/tex] are infinity and n=1

then,

ii) obtain the series in the form

x(t)= [tex]\sum[/tex]Cn* exp(2*pi*j*n*f0*t)

where the limits of the [tex]\sum[/tex] are infinity to n=- infinity

Thanks in advance !