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The output of the frequency selective channel seems fine to me. I'm not sure for the path loss though. Do you have the equations to what you are doing? Add noise to the received signal and deploy a linear equalizer like MMSE equalizer to detect the signal.
They are all valid for analysis purposes. Usually, if you say that x has normalized power, then you include sqrt(p), such that the signal-to-noise ratio (SNR) is P/N, where N is the noise power. Some like to make it more practical by including the pathloss, but I think unless the analysis is...
You measure the orthogonality of codes using the cross correlation metric. It's usually small but not zero. The spreading factor depends on the chip rate of the spreading codes not on the orthogonality between them.
I gave you the equation above. If you have the number of taps equals to 6, then you set L=5. The delay is converted into a number of taps, where the number of taps equals the maximum delay divided by the symbol time, i.e., the delay is rounded into symbol times. You can consider each coefficient...
You can do it yourself. The received signal in frequency selective channels is:
\[y_n=\sum_{l=0}^Lh_lx_{n-l}+z_n\]
where h, x and z are the channel coefficients, transmitted signal and AWGN. If you write this for n=1, ..., N, you will get the recived signal...
In frequency flat channel, the effect of the channel is multiplicative. In frequency selective channels, the output of the channel will be the convolution of the input and the channel. If you assume block fading, then for each block of N data symbols, the channel taps will be constant. Usually...
I said (ideally) the power at any given distance in any direction is the same. What power a node receives doesn't affect the power the other node receives. A node receives a power that's proportional to its distance from the transmitter. It doesn't matter how many nodes there are as receivers.
Conceptually, OFDM transforms a frequency selective channel into a number of frequency flat channels. In each subband k, the received signal can be written as
Yk=Hk*Xk+Wk
where Hk is the frequency response of the channel at frequency k, Xk is the transmitted symbol over frequency k, and Wk is...
In frequency selective channels, there is intersymbol interference, and the received signal is written as
\[y_k=\sum_{m=0}^{K-1}h_mx_{k-m}+w_k\]
Channel taps are the number of resolvable paths (Search for resolvable paths).
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