Prerequisites & Notation

Before This Chapter

Chapter 18 is a research-agenda overview of topics where the RIS theory is still maturing. It assumes familiarity with the entire preceding book and wider communications theory β€” wideband (OFDM) signaling, information theory (capacity), and a standards-track viewpoint (3GPP, ETSI).

Notation for This Chapter

Additional notation for wideband and time-varying RIS analysis.

SymbolMeaningIntroduced
Ξ¦(f)\boldsymbol{\Phi}(f)Frequency-dependent RIS phase response (complex)
BBTotal signal bandwidth (Hz)
NfN_fNumber of OFDM subcarriers
TcT_cChannel coherence time (s)
Ο„RIS\tau_{\text{RIS}}RIS control-loop latency (s)
Ξ·age\eta_{\text{age}}Aging efficiency: fraction of ideal SNR preserved
CRIS(N)C_{\text{RIS}}(N)RIS-aided channel capacity (bits/s/Hz)
Ξ½D\nu_DDoppler frequency