Mixed-integer nonlinear optimization

P Belotti, C Kirches, S Leyffer, J Linderoth, J Luedtke… - Acta Numerica, 2013 - cambridge.org
Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …

An effective branch-and-bound algorithm for convex quadratic integer programming

C Buchheim, A Caprara, A Lodi - Mathematical programming, 2012 - Springer
We present a branch-and-bound algorithm for minimizing a convex quadratic objective
function over integer variables subject to convex constraints. In a given node of the …

Frequency domain min-max optimization of noise-shaping delta-sigma modulators

M Nagahara, Y Yamamoto - IEEE Transactions on signal …, 2012 - ieeexplore.ieee.org
This paper proposes a min-max design of noise-shaping delta-sigma modulators. We first
characterize the all stabilizing loop-filters for a linearized modulator model. By this …

Output filter aware optimization of the noise shaping properties of ΔΣ modulators via semi-definite programming

S Callegari, F Bizzarri - … Transactions on Circuits and Systems I …, 2013 - ieeexplore.ieee.org
The Noise Transfer Function (NTF) of ΔΣ modulators is typically designed after the features
of the input signal. We suggest that in many applications, and notably those involving D/D …

Noise Weighting in the Design of Modulators (With a Psychoacoustic Coder as an Example)

S Callegari, F Bizzarri - … Transactions on Circuits and Systems II …, 2013 - ieeexplore.ieee.org
A design flow for ΔΣ modulators is illustrated, allowing quantization noise to be shaped
according to an arbitrary weighting profile. Based on finite-impulse-response noise transfer …

Optimal design of the noise transfer function of ΔΣ modulators: IIR strategies, FIR strategies, FIR strategies with preassigned poles

S Callegari, F Bizzarri - Signal processing, 2015 - Elsevier
Recently, strategies based on semidefinite programming (SDP) have been proposed for the
design of the noise transfer function (NTF) of Δ Σ modulators. Contrarily to conventional …

On linear conic relaxation of discrete quadratic programs

T Nie, SC Fang, Z Deng, JE Lavery - Optimization Methods and …, 2016 - Taylor & Francis
A special reformulation-linearization technique based linear conic relaxation is proposed for
discrete quadratic programming (DQP). We show that the proposed relaxation is tighter than …

Optimal quantization noise management in wideband fractional-N PLLs

S Callegari, F Bizzarri… - 2015 IEEE international …, 2015 - ieeexplore.ieee.org
Quantization errors often produce the dominant phase noise component in wide-band
fractional-N phase locked loops (PLLs). Recently, a few techniques have been proposed to …

A heuristic solution to the optimisation of flutter control in compression systems (and to some more binary quadratic programming problems) via ΔΣ modulation circuits

S Callegari, F Bizzarri - Proceedings of 2010 IEEE International …, 2010 - ieeexplore.ieee.org
An example of how circuit related techniques can help solving optimisatin problems
originating from completely different domains is provided. It is shown that a specific class of …

Optimal design of both multi‐input multi‐output loop filter and multi‐input single‐output reconstruction filter of sigma delta modulator

Q Miao, BWK Ling, HHH Dam - International Journal of Circuit …, 2022 - Wiley Online Library
This paper considers a sigma delta modulator (SDM) with the outputs of the quantizers
directly fedback to the inputs of the loop filter without being subtracted from the input …