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RGB and YIQ

Red, Green, Blue ⇄ Luma, In-Phase, Quadrature

RGB to YIQ​

[YIQ]=[0.2990.5870.1140.5959−0.2746−0.32130.2115−0.52270.3112][RGB] Y∈[0,1]I∈[−0.5957,0.5957]Q∈[−0.5226,0.5226] or, normalized Y∈[0,255]I∈[−128,128]Q∈[−128,128]\begin{align*} \begin{bmatrix} Y \\ I \\ Q \end{bmatrix} &= \begin{bmatrix} 0.299 & 0.587 & 0.114 \\ 0.5959 & -0.2746 & -0.3213 \\ 0.2115 & -0.5227 & 0.3112 \end{bmatrix} \begin{bmatrix} R \\ G \\ B \end{bmatrix} \\ \:\\ Y &\in [0,1]\\ I &\in [-0.5957,0.5957] \\ Q &\in [-0.5226,0.5226] \\ \:\\ \text{or}&,\text{ normalized} \\ \:\\ Y &\in [0,255]\\ I &\in [-128,128] \\ Q &\in [-128,128] \\ \end{align*}

YIQ to RGB​

Y∈[0,1]I∈[−0.5957,0.5957]Q∈[−0.5226,0.5226] [RGB]=[10.9560.6211−0.272−0.6471−1.1061.703][YIQ]\begin{align*} Y &\in [0,1]\\ I &\in [-0.5957,0.5957] \\ Q &\in [-0.5226,0.5226] \\ \:\\ \begin{bmatrix}R\\G\\B\end{bmatrix} &= \begin{bmatrix} 1 & 0.956 & 0.621 \\ 1 & -0.272 & -0.647 \\ 1 & -1.106 & 1.703 \end{bmatrix} \begin{bmatrix}Y\\I\\Q\end{bmatrix} \end{align*}