Effect of initial conditions on limit cycle performance of second order sampled data sigma delta modulator

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Effect of initial conditions on limit cycle performance of second order sampled data sigma delta modulator

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© The Institution of Electrical Engineers
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Sensitivity studies on the effects of initial conditions on the limit cycle of a second order sampled data sigma delta modulator are presented. It was found that a sequence of modes exists whose time ratios conform to a simple hyperbolic pattern.

Inspec keywords: sampled data systems; control system analysis; sensitivity analysis; limit cycles; nonlinear control systems; modulation

Other keywords: hyperbolic pattern; nonlinear control systems; limit cycle performance; second order; sensitivity study; sigma delta modulator; initial conditions; sampled data

Subjects: Stability in control theory; Discrete control systems; Control system analysis and synthesis methods; Nonlinear control systems

References

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      • J.C. Candy . A use of double integration in sigma delta modulation. IEEE Trans. , 3
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      • B.P. Agrawal , K. Shenoi . Design methodology for sigma delta modulation. IEEE Trans. , 3
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      • Bridgett, N., Lewis, C.P.: `A describing function approach to the design of sigma delta modulators', Proc. Int. IASTED Conf., 3rd–5th September 1986, Taormina, Italy, p. 155–159.
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      • C.P. Lewis . w-domain design of single and double value relay control systems. IEE Proc. D , 5 , 219 - 224
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