Assumed the transmission system with channel impulse response is determined by the matrices $H(\tau_l) \in C^{N_R \times N_T}$ ( $N_R$ and $N_T$ are numbers of received and transmit antennas)

By taking the Fourier Transform (FT) of the impulse response, we get the frequency response of the channel at subcarrier $n$.

\begin{equation} H(n)=\sum_{l=1}^{L} H(\tau_l) \cdot e^{i \cdot 2 \pi (f_c+\Delta f \cdot n)\tau_l}, \end{equation} where $f_c$ is the centre frequency, $\Delta f$ is the subcarrier bandwidth, $n$ is a subcarrier index, $n=1, \ldots N$.$t$ denote time, $\tau$ is delay. $\tau_l$ is the cluster delays.

How should I change the equation above if I need to check how the doppler delay is affected system?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.