On the narrow-band assumption in array signal processing

Post date: Jun 08, 2015 4:48:33 PM

A common assumption in array signal processing is the narrow-band assumption on the source signal [1].  If

is narrow-band, its Fourier transform for , where is small. Thus a delay in

results in a negligible phase shift to  at every . Namely,

or

This assumption can be used to make the complex representation of the delayed source signal simple. If

then

[1] http://web.media.mit.edu/~aggelos/papers/roykailath89.pdf