Frequency Domain Min-Max Optimization of Noise-Shaping Delta-Sigma Modulators


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 characterization, we formulate the design problem of lowpass, bandpass, and multi-band modulators as minimization of the maximum magnitude of the noise transfer function (NTF) in fixed frequency band(s). We show that this optimization minimizes the worst-case reconstruction error, and hence improves the SNR (signal-to-noise ratio) of the modulator. The optimization is reduced to an optimization with a linear matrix inequality (LMI) via the generalized KYP (Kalman–Yakubovich–Popov) lemma. The obtained NTF is an FIR (finite-impulse-response) filter, which is favorable in view of implementation. We also derive a stability condition for the nonlinear model of delta-sigma modulators with general quantizers including uniform ones. This condition is described as an $H^{infty}$ norm condition, which is reduced to an LMI via the KYP lemma. Design examples show advantages of our design.

Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here

PROJECT TITLE :New Bound on Partial Hamming Correlation of Low-Hit-Zone Frequency Hopping Sequences and Optimal Constructions - 2018ABSTRACT:During this letter, a brand new bound on partial Hamming correlation (PHC) of low-hit-zone
PROJECT TITLE :Mutual Information in Frequency and Its Application to Measure Cross-Frequency Coupling in Epilepsy - 2018ABSTRACT:We tend to outline a metric, mutual info in frequency (MI-in-frequency), to detect and quantify
PROJECT TITLE :D-FROST: Distributed Frequency Reuse-Based Opportunistic Spectrum Trading via Matching With Evolving Preferences - 2018ABSTRACT:Spectrum trading creates more accessing opportunities for secondary users (SUs), and
PROJECT TITLE :Enabling a Nationwide Radio Frequency Inventory Using the Spectrum Observatory - 2018ABSTRACT:Knowledge concerning active radio transmitters is critical for multiple applications: spectrum regulators can use this
PROJECT TITLE :Operating Frequency Improvement On FPGA Implementation Of A Pipeline Large-FFT Processor - 2017ABSTRACT:In this paper, circuit complexity reduction in FPGA implementation of enormous N-point Radix-22 FFT with single-path

Ready to Complete Your Academic MTech Project Work In Affordable Price ?

Project Enquiry