{"id":313916,"date":"2016-11-01T12:04:28","date_gmt":"2016-11-01T19:04:28","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&p=313916"},"modified":"2018-10-16T19:59:27","modified_gmt":"2018-10-17T02:59:27","slug":"fourier-transform-directed-quincunx-lattice","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/fourier-transform-directed-quincunx-lattice\/","title":{"rendered":"Fourier Transform for the Directed Quincunx Lattice"},"content":{"rendered":"

We introduce a new signal transform for computing the spectrum of a signal given on a two-dimensional directional quincunx lattice. The transform is non-separable, but closely related to a two-dimensional (separable) discrete Fourier transform. We derive the transform using recently discovered connections between signal transforms and polynomial algebras. These connections also yield several important properties of the new transform. <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

We introduce a new signal transform for computing the spectrum of a signal given on a two-dimensional directional quincunx lattice. The transform is non-separable, but closely related to a two-dimensional (separable) discrete Fourier transform. We derive the transform using recently discovered connections between signal transforms and polynomial algebras. These connections also yield several important properties […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"martinro"}],"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (ICASSP'05)","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"401-404","msr_page_range_start":"401","msr_page_range_end":"404","msr_series":"","msr_volume":"4","msr_copyright":"","msr_conference_name":"Proceedings of the International Conference on Acoustics, Speech, and Signal Processing 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