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<blockquote data-quote="Frank Koenig" data-source="post: 65090" data-attributes="member: 416">Re: Visualizing the Mag &amp; Phase of the 2 Element &quot;End-Fire&quot; Sub ArrayTimo, Thank you for your reply and the links to the simulations.It appears that you model a &quot;type A&quot;, to use my nomenclature, array with 4 uniformly spaced elements. This is very attractive since the on-axis audience-side impulse response (and SPL summation) is preserved and the notches on the stage-side fall at different frequencies within the pass band, spreading the overall reduction in level. Relevant, too, is your observation that the stage is not in the far field and therefore the cancellations are not perfect, due to the difference in distance of the sources.Another degree of freedom, of course, is to use non-uniform spacing, with the delays adjusted accordingly. But before going any further with this I should spend a day in the library, rather than a month in the lab (or The LAB), as they say. There are, no doubt, many technical articles that beat this to death, in the realm of antenna design, if not loudspeaker arrays. And modeling arrays this way is very analogous to FIR filters, so there&#039;s all that to draw on.--Frank</blockquote>

[QUOTE="Frank Koenig, post: 65090, member: 416"] Re: Visualizing the Mag & Phase of the 2 Element "End-Fire" Sub Array Timo, Thank you for your reply and the links to the simulations. It appears that you model a "type A", to use my nomenclature, array with 4 uniformly spaced elements. This is very attractive since the on-axis audience-side impulse response (and SPL summation) is preserved and the notches on the stage-side fall at different frequencies within the pass band, spreading the overall reduction in level. Relevant, too, is your observation that the stage is not in the far field and therefore the cancellations are not perfect, due to the difference in distance of the sources. Another degree of freedom, of course, is to use non-uniform spacing, with the delays adjusted accordingly. But before going any further with this I should spend a day in the library, rather than a month in the lab (or The LAB), as they say. There are, no doubt, many technical articles that beat this to death, in the realm of antenna design, if not loudspeaker arrays. And modeling arrays this way is very analogous to FIR filters, so there's all that to draw on. --Frank [/QUOTE]

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