Description: Cram ́ er-Rao bound (CRB) has been formulated in
earlier work for linear, planar and 3-D array configurations. The
formulations developed in prior work, make use of the standard
spatial data model. In this paper, the existence of CRB for the
spherical harmonics data model is first verified. Subsequently, an
expression for stochastic CRB is derived for direction of arrival
(DOA) estimation in spherical harmonics domain. The stochastic
CRBs for azimuth and elevation are plotted at various Signal
to Noise Ratios (SNRs) and snapshots. It is noted that a lower
bound on the CRB is attained at high SNR. A similar observation
is made when larger number of snapshots are used.
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