Details

Autor(en) / Beteiligte

• Tariq, M. Rizwan
• Ohno, Shuichi

Titel

Unified LMI-based design of ΔΣmodulators

Ist Teil von

• EURASIP journal on advances in signal processing, 2016-02, Vol.2016 (1), p.1-14, Article 29

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2016

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Optimal finite impulse response (FIR) error feedback filters for noise shaping in Δ Σ modulators are designed by using weighting functions based on the system norms. We minimize the weighted norms of the quantization error in the output of a Δ Σ modulator, which corresponds to the minimization of the system norm. Three norms, the H 2 system norm, the H ∞ system norm, and the l 1 norm of the impulse response of the system, are adopted. The optimization problem for three types of FIR filters are evaluated by using linear matrix inequalities (LMIs) and then solved numerically via semi-definite programming. Design examples are provided to demonstrate the effectiveness of our proposed methods.