This Matlab Code models a Rayleigh fading channel using a modified Jakes channel model.

A modified Jakes model chooses slightly different spacings for the scatterers and scales their waveforms using Walsh–Hadamard sequences to ensure zero cross-correlation.

\alpha_n = \frac{\pi(n-0.5)}{2M} and \beta_n = \frac{\pi n}{M},

results in the following model, usually termed the Dent model or the modified Jakes model:



R(t,k) = \sqrt{\frac{2}{M}} \sum_{n=1}^{M} A_k(n)\left( \cos{\beta_n} + j\sin{\beta_n} \right)\cos{\left(2\pi f_d t \cos{\alpha_n} + \theta_{n}\right)}.



The weighting functions A_k(n) are the kth Walsh–Hadamard sequence in n. Since these have zero cross-correlation by design, this model results in uncorrelated waveforms. The phases \,\!\theta_{n} are initialized randomly and have no effect on the correlation properties. Matlab fast Walsh-Hadamard transform function is used to efficiently generate samples using this model.-This Matlab Code models a Rayleigh fading channel using a modified Jakes channel model.

A modified Jakes　model chooses slightly different spacings for the scatterers and scales their waveforms using Walsh–Hadamard sequences to ensure zero cross-correlation.

\alpha_n = \frac{\pi(n-0.5)}{2M} and \beta_n = \frac{\pi n}{M},

results in the following model, usually termed the Dent model or the modified Jakes model:



R(t,k) = \sqrt{\frac{2}{M}} \sum_{n=1}^{M} A_k(n)\left( \cos{\beta_n} + j\sin{\beta_n} \right)\cos{\left(2\pi f_d t \cos{\alpha_n} + \theta_{n}\right)}.



The weighting functions A_k(n) are the kth Walsh–Hadamard sequence in n. Since these have zero cross-correlation by design, this model results in uncorrelated waveforms. The phases \,\!\theta_{n} are initialized randomly and have no effect on the correlation properties. Matlab fast Walsh-Hadamard transform function is used to efficiently generate samples using this model.