Get Analysis And Design Of Autonomous Microwave Circuits PDF

By Almudena Suarez

ISBN-10: 0470050748

ISBN-13: 9780470050743

Provides simulation innovations that considerably elevate designers' keep watch over over the oscillationin self sustaining circuits

This publication allows a valid figuring out of the free-running oscillation mechanism, the start-up from the noise point, and the institution of the steady-state oscillation. It offers with the operation rules and major features of free-running and injection-locked oscillators, coupled oscillators, and parametric frequency dividers.

Analysis and layout of self sufficient Microwave Circuits provides:

  • An exploration of the most nonlinear-analysis tools, with emphasis on harmonic stability and envelope brief methods

  • Techniques for the effective simulation of the most typical self sustaining regimes

  • A presentation and comparability of the most stability-analysis tools within the frequency domain

  • A specific exam of the instabilization mechanisms that delimit the operation bands of self reliant circuits

  • Coverage of strategies used to dispose of universal kinds of undesired habit, similar to spurious oscillations, hysteresis, and chaos

  • A thorough presentation of the oscillator part noise

  • A comparability of the most methodologies of phase-noise analysis

  • Techniques for self sufficient circuit optimization, in response to harmonic balance

  • A attention of other layout goals: presetting the oscillation frequency and output energy, expanding potency, enhancing the brief length, and enforcing operation bands

Analysis and layout of self sustaining Microwave Circuits is a worthwhile source for microwave designers, oscillator designers, and graduate scholars in RF microwave design.

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Extra resources for Analysis And Design Of Autonomous Microwave Circuits

Sample text

2, this pair of complex-conjugate poles should give rise to an oscillatory transient of growing amplitude. 24) and the poles of the dc solution, consider the introduction of a small-signal current source Iin (s) in parallel at the observation port. The ratio between the node voltage V (s) and the current delivered, Iin (s), provides the closed-loop transfer function Z(s). Assuming that no pole–zero cancellations occur, the poles of Z(s) will agree with the roots of the characteristic function P (s) associated with circuit linearization about the dc solution.

The property sign (dφ/dx) = sign(d tan(φ)/dx) is fulfilled for any angle φ and independent variable x. In the case of the impedance function tan(ang(Zp (ω)) = 2σω/(σ2 + ω2o − ω2 ) for positive σ, the phase associated with Zp (ω) has positive slope at the resonance frequency ωo . The function Z(ω) agrees with the inverse of the total admittance analyzed, YT (ω) = YTr (ω) + j YTi (ω). In terms of YT (ω), it is possible to write tan(ang(Zp (ω))) = −YTi (ω)/YTr (ω). Assuming a small frequency variation of YTr (ω), a resonance of the form YTr (ωo ) < 0, YTi (ωo ) = 0, ∂(YTi (ωo ))/∂ω > 0 will give rise to a positive slope of the phase associated with Z(ω), corresponding to a pair of unstable complex-conjugate poles.

It enables the stability analysis of the steady-state oscillation, limited to two poles. Because one of the poles is necessarily zero, due to the autonomy of the free-running oscillator solution, the other pole must be real. In the case of an oscillator circuit with a single-resonant circuit, such as in Fig. 1, the system dimension (agreeing with the number of reactive elements) is N = 2. Thus, we only have two poles. The poles of the dc solution are complex-conjugate. The two poles of the steady-state oscillation are zero and real, respectively.

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Analysis And Design Of Autonomous Microwave Circuits by Almudena Suarez

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