Combining the Best of Both Worlds: True Time Delays and Phase Shifters

Whitepaper

November 22, 2022

This article reviews the strengths and weaknesses of two electronic beamforming techniques: phase shifters (PSs) and true time delays (TTDs). It argues that these two methods can be combined in a hybrid beamforming architecture to offer better SWaP-C and a comparatively less complex system design.

Download Whitepaper

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Analog Devices

One Technology Way
Wilmington, Massachusetts 02062

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distribution.literature@analog.com

(781) 329-4700

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17	`category_footer_article`

theme::article.card (resources/views/themes/_base/article/card.blade.php)18bladefile


__env
app
errors
displayed_articles
page_title
article
lead
aliId
temp_publish_date
subfooterCategories
categoryBuilder
categories
__currentLoopData
category
loop
category_subfooter_articles
top_footer_article
category_footer_article

Params
0	`__env`
1	`app`
2	`errors`
3	`displayed_articles`
4	`page_title`
5	`article`
6	`lead`
7	`aliId`
8	`temp_publish_date`
9	`subfooterCategories`
10	`categoryBuilder`
11	`categories`
12	`__currentLoopData`
13	`category`
14	`loop`
15	`category_subfooter_articles`
16	`top_footer_article`
17	`category_footer_article`

theme::article.components.article-type-tag (resources/views/themes/_base/article/components/article-type-tag.blade.php)18bladefile


__env
app
errors
displayed_articles
page_title
article
lead
aliId
temp_publish_date
subfooterCategories
categoryBuilder
categories
__currentLoopData
category
loop
category_subfooter_articles
top_footer_article
category_footer_article

theme::layouts.components.footer (resources/views/themes/_base/layouts/components/footer.blade.php)10bladefile
Params
0
__env
1
app
2
errors
3
displayed_articles
4
page_title
5
article
6
lead
7
aliId
8
temp_publish_date
9
socialMedia

Params
0	`__env`
1	`app`
2	`errors`
3	`displayed_articles`
4	`page_title`
5	`article`
6	`lead`
7	`aliId`
8	`temp_publish_date`
9	`subfooterCategories`
10	`categoryBuilder`
11	`categories`
12	`__currentLoopData`
13	`category`
14	`loop`
15	`category_subfooter_articles`
16	`top_footer_article`
17	`category_footer_article`

Params
0	`__env`
1	`app`
2	`errors`
3	`displayed_articles`
4	`page_title`
5	`article`
6	`lead`
7	`aliId`
8	`temp_publish_date`
9	`socialMedia`

uri: GET radar-ew/{uri_path?}
middleware: web
controller: App\Http\Controllers\Frontend\ArticleController@viewArticleByShortname
namespace: App\Http\Controllers
prefix
where
file: app/Http/Controllers/Frontend/ArticleController.php:35-49

53 statements were executed, 12 of which were duplicated, 41 unique. Show only duplicated1.6s

select * from `articles` where `shortname` = 'combining-the-best-of-both-worlds-true-time-delays-and-phase-shifters' and `publish_at` < '2025-04-02 00:59:51' limit 1

147ms/app/Http/Controllers/Frontend/ArticleController.php:42mes

Metadata
Bindings	0. combining-the-best-of-both-worlds-true-time-delays-and-phase-shifters 1. 2025-04-02 00:59:51
Backtrace	16. /app/Http/Controllers/Frontend/ArticleController.php:42 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:259 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `categories` where `categories`.`id` in (23)

1.64ms/app/Http/Controllers/Frontend/ArticleController.php:42mes

Metadata
Backtrace	21. /app/Http/Controllers/Frontend/ArticleController.php:42 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:259 25. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `categories` where `categories`.`id` in (3)

5.6ms/app/Http/Controllers/Frontend/ArticleController.php:42mes

Metadata
Backtrace	26. /app/Http/Controllers/Frontend/ArticleController.php:42 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:259 30. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `article_types` where `article_types`.`id` in (7)

3.96ms/app/Http/Controllers/Frontend/ArticleController.php:42mes

Metadata
Backtrace	21. /app/Http/Controllers/Frontend/ArticleController.php:42 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:259 25. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `article_attachments` where `article_attachments`.`article_id` = 10857 and `article_attachments`.`article_id` is not null

6.88ms/app/Models/Article.php:262mes

Metadata
Bindings	0. 10857
Backtrace	19. /app/Models/Article.php:262 25. view::theme::article.components.primary-image:2 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select `companies`.*, `articles_companies`.`article_id` as `pivot_article_id`, `articles_companies`.`company_id` as `pivot_company_id` from `companies` inner join `articles_companies` on `companies`.`id` = `articles_companies`.`company_id` where `articles_companies`.`article_id` = 10857

25msview::theme::article.components.companies:1mes

Metadata
Bindings	0. 10857
Backtrace	19. view::theme::article.components.companies:1 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195

select * from `articles` where `status` = 'publish' and `visibility` <> 'hidden' and `article_type_id` <> '8' and `publish_at` <= '2025-04-02 00:59:51' and `primary_image` is not null and `primary_image` <> '' and `primary_image` <> '0' order by `publish_at` desc limit 30

255ms/app/Models/Article.php:375mes

Metadata
Bindings	0. publish 1. hidden 2. 8 3. 2025-04-02 00:59:51 4. 5. 0
Backtrace	14. /app/Models/Article.php:375 15. view::theme::layouts.components.sidebar:8 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select * from `categories` where `categories`.`id` in (7, 13, 15, 19, 21, 23, 24, 25, 26, 27, 31, 32, 44, 47, 1000, 1001)

4.94ms/app/Models/Article.php:375mes

Metadata
Backtrace	19. /app/Models/Article.php:375 20. view::theme::layouts.components.sidebar:8 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select * from `categories` where `categories`.`id` in (1, 2, 3, 4, 6)

10.85ms/app/Models/Article.php:375mes

Metadata
Backtrace	24. /app/Models/Article.php:375 25. view::theme::layouts.components.sidebar:8 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select * from `article_types` where `article_types`.`id` in (2, 3, 4, 5)

4ms/app/Models/Article.php:375mes

Metadata
Backtrace	19. /app/Models/Article.php:375 20. view::theme::layouts.components.sidebar:8 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

select `id`, `name`, `shortname` from `categories` where `parent_id` is null and `id` not in (999, 100) and exists (select * from `articles` where `categories`.`id` = `articles`.`primary_category` and `publish_at` < '2025-04-02 00:59:52' and `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')))

84.99ms/app/View/Composers/SubfooterComposer.php:38mes

Metadata
Bindings	0. 999 1. 100 2. 2025-04-02 00:59:52 3. 4. 0
Backtrace	14. /app/View/Composers/SubfooterComposer.php:38 15. /app/View/Composers/SubfooterComposer.php:19 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`parent_id` in (1, 2, 3, 4, 5, 6) order by `shortname` asc

2.61ms/app/View/Composers/SubfooterComposer.php:38mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:38 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (2, 14, 17, 18, 13, 1004, 15, 16, 19) limit 5

2.95ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Bindings	0. 1. 0 2. 2 3. 14 4. 17 5. 18 6. 13 7. 1004 8. 15 9. 16 10. 19
Backtrace	14. /app/View/Composers/SubfooterComposer.php:63 15. /app/View/Composers/SubfooterComposer.php:19 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`id` in (15, 16, 18)

2.37ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`id` in (2)

1.62ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	24. /app/View/Composers/SubfooterComposer.php:63 25. /app/View/Composers/SubfooterComposer.php:19 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `article_types` where `article_types`.`id` in (2)

1.63ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (4, 32, 31, 30, 29, 27) limit 5

42.03ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Bindings	0. 1. 0 2. 4 3. 32 4. 31 5. 30 6. 29 7. 27
Backtrace	14. /app/View/Composers/SubfooterComposer.php:63 15. /app/View/Composers/SubfooterComposer.php:19 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`id` in (30, 32)

18ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`id` in (4)

2.63ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	24. /app/View/Composers/SubfooterComposer.php:63 25. /app/View/Composers/SubfooterComposer.php:19 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `article_types` where `article_types`.`id` in (2, 3)

2.76ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (5, 37, 36, 35) limit 5

8.93ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Bindings	0. 1. 0 2. 5 3. 37 4. 36 5. 35
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select * from `categories` where `categories`.`id` in (36, 37)

2.47ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
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select * from `categories` where `categories`.`id` in (5)

2.49ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
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select * from `article_types` where `article_types`.`id` in (2)

830μs/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `articles` where `primary_image` is not null and (`primary_image` is not null and `primary_image` not in ('', '0')) and `primary_category` in (6, 45, 44, 46, 1008, 1006, 40, 43, 47, 39, 41, 42, 1007) limit 5

2.51ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
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select * from `categories` where `categories`.`id` in (43, 44, 46)

2.46ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `categories`.`id` in (6)

1.62ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	24. /app/View/Composers/SubfooterComposer.php:63 25. /app/View/Composers/SubfooterComposer.php:19 26. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 27. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 30. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `article_types` where `article_types`.`id` in (2)

1.89ms/app/View/Composers/SubfooterComposer.php:63mes

Metadata
Backtrace	19. /app/View/Composers/SubfooterComposer.php:63 20. /app/View/Composers/SubfooterComposer.php:19 21. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 22. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 25. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

select * from `categories` where `parent_id` is null and `id` not in (999, 100, 1061)

2.23msview::theme::layouts.components.category_subfooter:6mes

Metadata
Bindings	0. 999 1. 100 2. 1061
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3.38ms/app/Models/Category.php:142mes

Metadata
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select * from `categories` where `categories`.`parent_id` = 1 and `categories`.`parent_id` is not null order by `shortname` asc

1.73ms/app/Models/Category.php:148mes

Metadata
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select `articles`.* from `articles` where `publish_at` < '2025-04-02 00:59:52' and `primary_image` is not null and `primary_image` != '0' and `primary_image` != '' and `article_type_id` <> '8' and (`primary_category` = 1 or `primary_category` = 1000 or `primary_category` = 1003 or `primary_category` = 7 or `primary_category` = 1001 or `primary_category` = 9 or `primary_category` = 1002 or `primary_category` = 8) and `article_type_id` <> '8' order by `publish_at` desc limit 5

255msview::theme::layouts.components.category_subfooter:19mes

Metadata
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select * from `categories` where `categories`.`id` in (7, 8, 1000, 1001)

1.62msview::theme::layouts.components.category_subfooter:19mes

Metadata
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select * from `categories` where `categories`.`id` in (1)

3.07msview::theme::layouts.components.category_subfooter:19mes

Metadata
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select * from `article_types` where `article_types`.`id` in (3)

1.82msview::theme::layouts.components.category_subfooter:19mes

Metadata
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3.03ms/app/Models/Category.php:142mes

Metadata
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select * from `categories` where `categories`.`parent_id` = 2 and `categories`.`parent_id` is not null order by `shortname` asc

5.05ms/app/Models/Category.php:148mes

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