Wireless Communication Chapter: Analog and Digital Transmission Section: Multi-Carrier Modulation, OFDM, Effect of Doppler

Effect of Doppler for OFDM and Synchronous MC-CDMA

This appendix analyses the moments M_ij = E_ch |b _n,n|ⁱ |w_n,n|^j, For ease of notation we denote b = |b _n,n| and w = |w_n| = b /(b ² + c), with c = N₀/T_s, so

For M₁₁, we arrive at

The exponential integral, E₁(x), is defined as integral from x to infinity over z^-1 exp(-z). In a similar fashion, using x = b ²/(2p), M₂₂ is found as

we use that

to express

Also, M₀₂ is calculated as

Wireless Communication © Jean-Paul M.G. Linnartz, 2001.