Prerequisites & Notation

Before You Begin

This chapter applies the OTFS machinery developed in Chapters 9-14 to vehicular networks — the single most demanding application domain for high-mobility communications. V2X combines the extremes of wireless: 300 km/h closure speeds, sub-millisecond latency targets, cm-level positioning accuracy, and a rich regulatory overlay. OTFS's delay-Doppler foundation addresses each of these constraints directly. This section lays out what the reader should remember from previous chapters and what broader context is helpful.

  • OTFS performance analysis and diversity(Review OTFS Ch. 9)

    Self-check: Can you state OTFS's delay-Doppler diversity and the gain over OFDM in high-mobility?

  • OTFS-ISAC fundamentals and joint estimation(Review OTFS Ch. 12)

    Self-check: Do you recall the joint estimation-detection algorithm?

  • MIMO-OTFS-ISAC beamforming(Review OTFS Ch. 13)

    Self-check: Can you formulate the joint beamforming SDP?

  • Sensing-assisted communication(Review OTFS Ch. 14)

    Self-check: Can you derive the SAC pilot-overhead savings formula?

  • Cellular network architecture(Review Telecom Ch. 15, Ch. 16)

    Self-check: Are you familiar with basic 5G architecture (gNB, UE, core network)?

Notation for This Chapter

V2X-specific symbols introduced in this chapter.

SymbolMeaningIntroduced
vrelv_{\text{rel}}Relative velocity between two vehicles (for V2V)s02
νV2V\nu_{\text{V2V}}V2V Doppler spread: up to 2vmax/λ2 v_{\max}/\lambda due to bidirectional motions02
Vplatoon\mathcal{V}_{\text{platoon}}Set of vehicles in a cooperative platoons05
TsafetyT_{\text{safety}}Safety-critical latency budget: 1 ms (platooning), 10 ms (ICS)s05
dIVDd_{\text{IVD}}Inter-vehicle distance (platoon spacing)s05
RV2XR_{\text{V2X}}V2X data rate (typically 10-100 Mbps uncoded)s01