(a) If x(t) has the Fourier 

and y(t) = x(t - t₀), show that Y_n = X_ne^{-j2Ï€nf0t0} where the Y_n's are the Fourier coefficient for y(t).

(b) Verify the theorem proved in part (a) by examining the Fourier coefficients for x(t) = cos(ω₀t) and y(t) = sin(ω₀t).

Transcribed Image Text:

ο0 j2πnfo 1 χ() ΣX,emfof x(t)