A movi ng aver age function is given by If input u is sinusoidal

A movi ng aver age function is given by If input u is sinusoidal signal of frequency 1/2T Hz then in steady state the output y will lag u (in degrees) by _______.

u(τ) = sin (ωτ)

τ = 2πƒ = 2π.	1	=	π
	2T		T

ωT = π

=	1	[cos ω(t - T) - cosω t]
	π

=	1	[cosωt cos ωT + sinωt sinωT - cosωt]
	π

y(t) = -	1	=	π
	2T		T

y(t) = -	2	cosωt =	2	sinω(90 + ωt)
	π		π

x(t) = sin ωt
φ =