Using the definition of the frequency-independent DF of a theoretical Nth-order DSA (9.27), show that
where π is a vector of ones, and πNis a Hankel matrix.
Using the definition of the frequency-independent FBR of a theoretical Nth-order DSA (9.20), show that
where πβ²Nand πβ²β²Nare Hankel matrices
Show that the beam pattern of the Nth-order supercardioid is
where πβ² N,maxis the eigenvector corresponding to the maximum eigenvalue of
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