Design of Interpolative Sigma Delta Modulators Via Semi-Infinite Programming

This correspondence considers the optimized design of interpolative sigma delta modulators (SDMs). The first optimization problem is to determine the denominator coefficients. The objective of the optimization problem is to minimize the passband energy of the denominator of the loop filter transfer...

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Vydáno v:	IEEE transactions on signal processing Ročník 54; číslo 10; s. 4047 - 4051
Hlavní autoři:	Ho, C.Y.-F., Ling, B.W.K., Reiss, J.D., Yan-Qun Liu, Kok-Lay Teo
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.10.2006 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Applied sciences Constraint optimization Delta modulation Delta-sigma modulation Deltas Design optimization Detection, estimation, filtering, equalization, prediction Dual parameterization Energy conservation Exact sciences and technology IIR filters Information, signal and communications theory interpolative sigma delta modulators (SDMs) Miscellaneous Modulation coding Modulation, demodulation Modulators Multiplexing noise shaping Optimization Passband Programming Ripples semi-infinite programming (SIP) Signal and communications theory Signal design Signal processing Signal, noise Stability Studies Telecommunications and information theory Transfer functions Infinite impulse response filter Noise reduction semi-infinite programming (SIP) Semi infinite programming Frequency domain method Iterative method Noise shaping Spatial multiplexing Parameterization Quadratic programming Optimization Sigma-delta modulation Digital filter interpolative sigma delta modulators (SDMs) Simulation Optimal solution Intermediate frequency Signal processing Cost function Transfer function Dual parameterization stability Signal to noise ratio
ISSN:	1053-587X, 1941-0476
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Shrnutí:	This correspondence considers the optimized design of interpolative sigma delta modulators (SDMs). The first optimization problem is to determine the denominator coefficients. The objective of the optimization problem is to minimize the passband energy of the denominator of the loop filter transfer function (excluding the dc poles) subject to the continuous constraint of this function defined in the frequency domain. The second optimization problem is to determine the numerator coefficients in which the cost function is to minimize the stopband ripple energy of the loop filter subject to the stability condition of the noise transfer function (NTF) and signal transfer function (STF). These two optimization problems are actually quadratic semi-infinite programming (SIP) problems. By employing the dual-parameterization method, global optimal solutions that satisfy the corresponding continuous constraints are guaranteed if the filter length is long enough. The advantages of this formulation are the guarantee of the stability of the transfer functions, applicability to design of rational infinite-impulse-response (IIR) filters without imposing specific filter structures, and the avoidance of iterative design of numerator and denominator coefficients. Our simulation results show that this design yields a significant improvement in the signal-to-noise ratio (SNR) and have a larger stability range, compared with the existing designs
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 ObjectType-Article-2 ObjectType-Feature-1 content type line 23
ISSN:	1053-587X 1941-0476
DOI:	10.1109/TSP.2006.880338