Open AmandaHuyue opened 7 years ago
\begin{equation}\label{equ: tagbackscatter} \begin{split} n(t) & = S{LoRa} \cdot S{Tag} \ & = Arect(\frac{t}{T})cos(2\pi f_0t+\frac{1}{2}\mu t^2) \cdot Bcos2\pi f_t \ & = \frac{1}{2} AB rect\frac{t}{T}\left[ cos(2\pi t(f_0+f_t)+\frac{1}{2}\mu t^2)\right] +sin\left[ cos(2\pi t(f_0+f_t)+\frac{1}{2}\mu t^2) \right] \end{split} \end{equation}
\begin{equation}\label{equ: tagbackscatter} \begin{split} n(t) & = S{LoRa} \cdot S{Tag} \ & = Arect(\frac{t}{T})cos(2\pi f_0t+\frac{1}{2}\mu t^2) \cdot Bcos2\pi f_t \ & = \frac{1}{2} AB rect\frac{t}{T}\left[ cos(2\pi t(f_0+f_t)+\frac{1}{2}\mu t^2)\right] +sin\left[ cos(2\pi t(f_0+f_t)+\frac{1}{2}\mu t^2) \right] \end{split} \end{equation}