The triangular wave in Figure 13–4 has a peak amplitude of A= 10 and T0 = 2 ms. Calculate the Fourier coefficients of the first nine harmonics.

Transcribed Image Text:

Waveform Constant (dc) A Cosine wave fit) Fourier Coefficients a=0 all n b=0 all -To- AM Sine wave fin) AL-To- AM Square wave K(1) ag=0 a = A 4 01 b=0 all n Q=0 =0 all b = A b=0 n+1 Waveform Fourier Coefficients Sawtooth wave fir) %=0 all n all n Triangular wave Kt) -To- -A 9=0 a = 81 (x) a=0 be=0 nodd even 4-0 all n fit) A-To- Half-wave rectified sine wave a = 2A/x - even 1-2 Q=0 odd b = A=1 b=0 1 Full-wave rectified sine wave %=2A/x To- A b = nodd b=0 neven Rectangular pulse fin To A AT an=24sin (XT) b=0 all A 4A/x 1-2 neven %=0 odd b=0 Parabolic wave =0 Q=0 all n 32A b = nodd (x) b=0 neven