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Table 1 Summary of transmit signal model in the standardized digital mobile systems

From: Pulse shaping design for OFDM systems

Generation

Modulation

Frequency spacing (F)

Symbol period (T)

Pulse shaping g tx(t)

Signal generation s(t) (simplified) :

2G

GMSK

Single Carrier Only

Laurent pulses

\(s(t)\approx \sum _{n} j^{A_{n}} g_{\text {tx}}(t-nT) \) A n : Laurent approximation of n-th transmit symbol

3G

DSSS

Single Carrier Only

Root Raised Cosine

\(s(t)= \sum _{n} a_{n} \sum _{c=1}^{N} s(c) g_{\text {tx,c}}(t-n T/N)\) c: chip of a spreading code

4G

CP-OFDM (DL)

15 or 7.5 kHz

T F=1.07 or 1.25

Rectangular

\(s(t)= \sum _{m} \sum _{n} a_{m,n} g_{\text {tx}}(t-nT) e^{j2\pi m F t}\)

 

DFTs-OFDM (UL)

Single carrier T F=1.07 or 1.25

Dirichlet

\(s(t)= \sum _{n} a_{n} g_{\text {tx}}(t-nT)\)

5G

CP-OFDM compatible

Configurable set

Configurable set

Configurable set

\(s(t)= \sum _{m} \sum _{n} a_{m,n} g_{\text {tx}}(t-nT) e^{j2\pi m F t}\)

 

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