دیا 3. (a) (+)-2 cos² (1) + 4 cos (1+). (i) Express the signal p(t) in the form such that all terms are harmonically rel
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دیا 3. (a) (+)-2 cos² (1) + 4 cos (1+). (i) Express the signal p(t) in the form such that all terms are harmonically related. (c) Consider the signal p(t)=-1+sin (ii) Determine the Fourier series coefficients of the signal p(t) expressed in the amplitude-phase form. Plot the magnitude and phase spectra. (b) Consider a periodic signal f(t), which has the fundamental period of 5 seconds and is defined as follows: f(t)=1, [2, for 0 <1 ≤1; for 1<1≤2; for 2 <1 ≤5. 0, (i) Find the Fourier series representation of f(t) expressed in the complex exponential form, i.e., f(t)= Σ cen +00 jna 190-8 (ii) Based on the coefficients c,, (for all n) obtained in part (i) and the relationship of ca and c₁=(a-jb)/2 for n>0, find the Fourier series coefficients in the trigonometric form, i.e., +00 f(t)= a + {a, cos (not) + b sin(not)}. x=1 Identify the duality property from the Appendix and apply it to find the Fourier transform of r(t), given by r(1) 2 9+1² Sketch the magnitude and phase spectra of r(t).