مكونات متوافقة الطور ومتعامدة

[تصغير|رسم بياني يوضح تشكيل الطور[(φ (t] وهي دالة غير خطية تتزايد من 0 إلى π / 2 خلال الفترة (t) ما بين 0 و 16 . ويعرف المكونان المؤلفان من تشكيل السعة باسم مكون متوافق الطور (I ، الخط الرفيع الأزرق، دالة تناقصية) ومكون تربيعي أو عامودي (Q ،الخط الرفيع الأحمر، دالة تزيادية).](https://ar.wikipedia.org/wiki/%D9%85%D9%84%D9%81:In-phase_and_quadrature_components_of_angle_modulation.gif)
في الهندسة الكهربائية ، يمكن تفكيك أو توليف الدالة الجيبية [ \sin (x)] ذات تشكيل زاوي (angle modulation) من دالتين جيبية مشكّلة بالسعة (amplitude-modulated) التي يتم تعويضها في الطور بربع دورة ( / 2 راديان). جميع الدوال الثلاث لها نفس التردد. تعرف الدوال الجيبية المشكلة بالسعة بالموجات العامودية متوافقة الطور. في بعض السياقات يكون من الملائم أكثر الإشارة إلى تشكيل السعة (القاعدي) فقط بهذه الشروط.
يسار|تصغير|250x250بك| عندما يتم تطبيق جهد جيبي إما على مكثف بسيط أو ملف كهربائي ، فإن التيار الناتج الذي يتدفق يتعامد "عامودي" مع الجهد.

## نموذج الإشارة ذات النطاق الضيق
في تطبيقات تشكيل الزاوية، مع تردد الموجة الحاملة  φ هي أيضاً دالة متغير الزمن، **:**

: *يحتاج تعديل هذا القسم*
:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
:
:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:mi>
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:
:
:
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

: 
\sin[2\pi ft + \phi(t)]\ =\ \underbrace{
\sin(2\pi ft)\cdot \cos[\phi(t)]}_{\text {in-phase}}\, +\, \underbrace{
\overbrace{
\sin\left(2\pi ft + \tfrac \pi 2 \right)}^{\cos(2\pi ft)} \cdot \sin[\phi(t)]}_{\text {quadrature}}.

:

## مراجع

## انظر أيضا

* Phasor
* Quadrature amplitude modulation
* Single-sideband modulation

## وصلات خارجية

* I/Q Data for Dummies

تصنيف:صفحات بترجمات غير مراجعة
تصنيف:معالجة الإشارة
تصنيف:هندسة لاسلكية