This question is from Signals Processing and Linear Systems by Lathi. Please hel

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This question is from Signals Processing and Linear Systems by Lathi. Please help with parts a and b. The question is in the images uploaded. Please help! The question is 3.5_4.

If a periodic signal f(t) is expressed as an exponential Fourier series f(t) = Dnein omega 0t Show that the exponential Fourier series for = f(t - T) is given by in which If a periodic signal f(t) is expressed as an exponential Fourier series f(t) = Dnein omega 0t Show that the exponential Fourier series for = f(t - T) is given by in which = |Dn| and angle = angle Dn - n omega 0T This result shows that time shifting of a periodic signal by T seconds merely changes the phase spectrum by n omega 0T. The amplitude spectrum is unchanged. Show that the exponential Fourier series for = f(at) is given by This result shows that time compression of a periodic signal by a factor a expands its Fourier spectra by the same factor a. Similarly, time expansion of a periodic signal by a factor a compresses its Fourier spectra by the factor a. = |Dn| and angle = angle Dn - n omega 0T This result shows that time shifting of a periodic signal by T seconds merely changes the phase spectrum by n omega 0T. The amplitude spectrum is unchanged. Show that the exponential Fourier series for = f(at) is given by This result shows that time compression of a periodic signal by a factor a expands its Fourier spectra by the same factor a. Similarly, time expansion of a periodic signal by a factor a compresses its Fourier spectra by the factor a.

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