Parseval’ s Relation Power in the Average signal power Cth harmonic Energy is the same whether measured in the time-domain or the equency-domain Multiplication property x(t)→→ak,y(t)4bk( Both a(t)andy(t) are periodic with the same period T r(t)y()…ck=∑a Proof: ∑aco∑ 少Qbne1(1+m)ot+m=k ∑∑ a1bk-L swot e( t)
• Parseval’s Relation Energy is the same whether measured in the time-domain or the frequency-domain • Multiplication Property
Periodic convolution x(t),yt) periodic with period T -T-T/2 T22 T T -T/ 0 Tn T (G)y(t-r)dr not very meaningful E. g. If both a(t)and y(t) are positive, then c(t)xk y(
Periodic Convolution x ( t), y ( t) periodic with period T