Channel Equalization

Proakis & Salehi — Intersymbol Interference & Equalization

Channel Model

Equalizer

Metrics

Channel delay spread-
ISI taps-
EVM (no EQ)-
EVM (with EQ)-
ZF: forces ISI to zero but amplifies noise at channel nulls.
WZF(f) = 1/H(f) — noise enhancement at |H(f)| → 0

MMSE: minimizes E[|x−x̂|²], balances ISI removal and noise:
WMMSE(f) = H*(f) / (|H(f)|² + 1/SNR)

DFE: feedforward (pre-cursor ISI) + feedback (post-cursor ISI) using past symbol decisions. Avoids noise enhancement but error propagation is possible.