Maximizing Signal-to-Thermal-Noise Ratio

x0(t)

w0*

x1(t)

w1*

xN-1(t)

wN-1*

?dN

y(t) = wH x(t) = Aejwt wHs(q)

plane wave front

from direction q

Matched filter: w = s

peak SNR gain = 12 dB

= 10*log10(N)

1st sidelobe

13 dB below peak

array pattern of w

pole-zero plot of w