Consider a linear model with mean value function t and a signal t delayed by an amount j on each sensor, i.e., yjt = t

Consider a linear model with mean value function µt and a signal αt delayed by an amount τj on each sensor, i.e., yjt = µt + αt−τj + vjt.

Show the estimators (7.42) for the mean and the signal are the Fourier transforms of M

c(ω) = Y·(ω) − φ(ω)Bw(ω)

1 − |φ(ω)|

2 and where

φ(ω) = 1 N

X N

j=1 e2πiωτj and Bw(ω) is defined in (7.64).

Section 7.5