## Creating Frequency Selective time invariant channel

Started by 7 years ago●2 replies●latest reply 7 years ago●210 viewsHi everyone

I am wondering if anyone can explain how to generate frequency selective time invariant channel. This means that no Doppler shift and I only need to implement multipath Rayleigh fading channel. I know it is a FIR filter and can be implemented as Tapped delay line. However I do not understand since the equation can be written as

and how can I implement this.like how to shift delta function.Is this equation implemented like with for loop and each time instant channel gain is multiplied by a shifted delta function?Thanks.

"The equation" that you refer to is an impulse response. You might want to study up on what that means. If you *did* know what it means, you'd know that it defines the system

\[ h \left(x\left(t\right)\right) = \sum_{n=0}^{N-1} \tilde a_n x \left( t - \tau_n \right) \]

where \(x\left(t\right)\) is the input signal and the output signal is implied.

Well I was asking about impulse response of a Rayleigh fading channel.__ By the way the expression I wrote is correct and I insert it from gaudsianwaves website.__

Best