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(i) Derive the complex Fourier Series of f(t). [6 marks] (ii) From the complex Fourier Series of f(t) obtained from (i), deduce the trigonometrical Fourier

(a) One time period of a periodic signal f(t) is shown in Figure Qla below. f(t)/V -4 -2 0 2 4 t/ms Figure Qla

(i) Derive the complex Fourier Series of f(t). [6 marks]

(ii) From the complex Fourier Series of f(t) obtained from (i), deduce the trigonometrical Fourier Series of f(t) and hence sketch its magnitude spectrum up to the 5th harmonic. [4 marks]

(b) A continuous time system is represented by the circuit in Figure Qlb. R X(t) C y(t) Figure Q1b: A Continuous Time SystemUse the convolution integral to obtain an analytical expression for y(t) in terms of It, for Osts2 R, C and t in if the input  
 

(a) One time period of a periodic signal f(t) is shown in Figure Qla below. f(t)/V -4 -2 4 t/ms Figure Qla

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