{"id":8806,"date":"2025-12-16T10:18:06","date_gmt":"2025-12-16T08:18:06","guid":{"rendered":"http:\/\/www.tonmeister.ca\/wordpress\/?p=8806"},"modified":"2025-12-17T19:22:04","modified_gmt":"2025-12-17T17:22:04","slug":"loudspeaker-crossovers-part-15","status":"publish","type":"post","link":"https:\/\/www.tonmeister.ca\/wordpress\/2025\/12\/16\/loudspeaker-crossovers-part-15\/","title":{"rendered":"Loudspeaker Crossovers: Part 15"},"content":{"rendered":"\n

This will be another short one.<\/p>\n\n\n\n

Part 14<\/a> showed the power responses of a theoretical loudspeaker made with two point-sources using a linear-phase crossover using the method that I explained in Part 7.<\/a><\/p>\n\n\n\n

In Part 11<\/a>, I showed the power responses when the loudspeaker is made with real drivers in a real enclosure.<\/p>\n\n\n\n

This posting shows the same as Part 11, except that I’ve implemented the crossover (at 1 kHz) using linear phase filters (again, with a really<\/em> long window to avoid any discussion) instead of minimum phase filters.<\/p>\n\n\n

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Figure 15.1<\/figcaption><\/figure>\n<\/div>\n\n\n

Figure 15.1 shows the real-world power responses of an actual two-way loudspeaker using two crossover strategies. (The top plot was already shown in Part 11.)<\/p>\n\n\n\n

Based on the conclusions from Part 14, it should not come as a surprise that a linear phase crossover will result in the same power response as a 4th-order Linkwitz Riley crossover. The only reason I’m showing this here is to prove that the earlier conclusion based on a theoretical simulation holds true in real life.<\/p>\n\n\n\n

One important conclusion to make at this point is to realise that a loudspeaker that is implemented with a 4th-order Linkwitz Riley crossover and the same loudspeaker implemented with a linear phase crossover will have identical magnitude responses (in any direction – not just on-axis) and identical power responses. However, they will have different phase responses (in any chosen direction) and different temporal responses (aka impulse responses).<\/p>\n","protected":false},"excerpt":{"rendered":"

This will be another short one. Part 14 showed the power responses of a theoretical loudspeaker made with two point-sources using a linear-phase crossover using the method that I explained in Part 7. In Part 11, I showed the power responses when the loudspeaker is made with real drivers in a real enclosure. This posting […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[33,63,4,59,43,5],"tags":[],"class_list":["post-8806","post","type-post","status-publish","format-standard","hentry","category-acoustics","category-analysis","category-audio","category-digital-audio","category-dsp","category-loudspeakers"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p48hIM-2i2","_links":{"self":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/8806","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/comments?post=8806"}],"version-history":[{"count":3,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/8806\/revisions"}],"predecessor-version":[{"id":8822,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/8806\/revisions\/8822"}],"wp:attachment":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/media?parent=8806"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/categories?post=8806"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/tags?post=8806"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}