University of Minnesota Dept. of Electrical and Computer Engineering EE3015 – Signals and Systems Discussion Session #10: Applications of Fourier representations 1.Consider the system depicted below. The input signal x(t) has a Fourier Transform (FT) X(jω) also shown below. Signal )(txis multiplied by )(tp, which is a periodic signal with period T, fundamental frequency WT2/20>=πω, and 4/1/0=TT. a.Find and sketch P(jω), the FT of p(t) In class, we showed that the FS coefficients of p(t) are given by πωkTkatpkFS)sin()(00=⎯→←The FT of p(t) is then given by ∑∑∞−∞=∞−∞=−=−⎯⎯→←kkkFTkkTkkatp)()sin(2)(2)(0000ωωδωωωδπWhich results in x(t) p(t) h(t) v(t) y(t)ω1X(jω) -W W t 1p(t) … … -2T 23T−-T2T−-T0T02TT 23T2T
has intentionally blurred sections.
Sign up to view the full version.