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

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
Published

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
    2. 2)
      • B.P. Agrawal , K. Shenoi . Design methodology for sigma delta modulation. IEEE Trans. , 3
    3. 3)
      • 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.
    4. 4)
      • C.P. Lewis . w-domain design of single and double value relay control systems. IEE Proc. D , 5 , 219 - 224
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