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We provide a characterization of matrix-valued dual window functions in terms of orthogonality of wave packet Bessel sequences. A perturbation result with respect to window functions for matrix-valued dual frames is given. It is well known that an orthogonal Parseval Hilbert frame for a Hilbert space turned out be an orthonormal basis for the space, however, this is not true for an orthogonal matrix-valued wave packet Parseval frame for the underlying matrix-valued function space. We give a type of matrix-valued orthonormal basis associated with an orthonormal basis of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0219691322500072","type":"journal-article","created":{"date-parts":[[2022,3,9]],"date-time":"2022-03-09T00:39:13Z","timestamp":1646786353000},"source":"Crossref","is-referenced-by-count":5,"title":["Duality for matrix-valued wave packet frames in L2(\u211dd, \u2102s\u00d7r)"],"prefix":"10.1142","volume":"20","author":[{"family":"Jyoti","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}]},{"given":"Lalit Kumar","family":"Vashisht","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}]}],"member":"219","published-online":{"date-parts":[[2022,4,12]]},"reference":[{"key":"S0219691322500072BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2015.08.014"},{"issue":"1","key":"S0219691322500072BIB002","first-page":"13","volume":"7","author":"Antol\u00edn A. 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