Hybrid delta modulator: stability analysis using sliding mode theory

Abstract

The present study proposes a new dynamic two-level quantizer, called as hybrid delta modulator (Δ H ΔH -M), which combines the features of both delta-modulator and delta-sigma modulator. In the transient state, the Δ H ΔH -M exhibits the dynamical behaviour of delta modulator (Δ-M) while in steady state, its behaviour is similar to delta-sigma modulator (ΔΣ ΔΣ -M). This study investigates about various dynamics of the proposed Δ H ΔH -M in both continuous and discrete-time domains. The stability conditions of Δ H ΔH -M are derived using the theory of sliding and quasi-sliding mode. The theoretical results are validated through extensive simulations.