Operational amplifier zero-pole analysis method based on signal-flow diagram
An operational amplifier and signal flow graph technology, applied in the direction of DC-coupled DC amplifiers, differential amplifiers, etc., to achieve the effect of reducing the amount of calculation
Inactive Publication Date: 2013-01-02
BEIJING JIAOTONG UNIV
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[0004] The purpose of the present invention is to propose a zero-pole analysis method of an operational amplifier based on a signal flow graph, in order to solve the problems existing in the method for solving the zero-pole of an operational amplifier
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[0021] The preferred embodiments will be described in detail below in conjunction with the accompanying drawings. It should be emphasized that the following description is only exemplary and not intended to limit the scope of the invention and its application.
[0022] figure 1 It is a zero-pole analysis method of operational amplifier based on signal flow graph. The present invention follows as figure 2 The three-stage operational amplifier shown is taken as an example to illustrate the implementation process of the zero-pole analysis method of the operational amplifier based on the signal flow graph.
[0023] First, in figure 2 Among them, M1-M9 constitute the first stage of the three-stage operational amplifier, M2 and M3 are differential input tubes, and the transconductance is gm1. M10-M15 constitute the second stage of the three-stage operational amplifier, M14 is the second-stage input tube, and the transconductance is gm2. The size of M10 and M11 is the same, th...
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The invention discloses an operational amplifier zero-pole analysis method based on a signal-flow diagram in the technical field of circuit operational amplifier analysis. The operational amplifier zero-pole analysis method comprises the following steps of: equivalently viewing an operation amplifier in a circuit as a transconductor or a resistor to obtain an equivalent circuit; using element parameters to replace voltage of each node in the equipment circuit and current of each branch circuit to obtain a simplified equivalent circuit diagram; determining source nodes, sink nodes and mixed nodes of the simplified equivalent circuit diagram to obtain an equivalent signal-flow diagram; obtaining a loop and a forward channel in the equivalent signal-flow diagram; determining a transfer function between any source node and any sink node according to a Mason's formula; and determining zero-pole points according to the transfer function. The operational amplifier zero-pole analysis method based on the signal-flow diagram has the advantages that the calculation amount is reduced and the circuit parameters which form the zero-pole points can be intuitively obtained.
Description
technical field [0001] The invention belongs to the technical field of circuit operational amplifier analysis, in particular to a zero-pole analysis method of an operational amplifier based on a signal flow graph. Background technique [0002] The existing method to solve the zero-pole point of the operational amplifier is to use Kirchhoff voltage law (Kirchhoff voltage law, KVL) or Kirchhoff current law (Kirchhoff current law, KCL) to obtain the transfer function of the circuit, and obtain the transfer function through complex calculations. The numerator and denominator of the function, so as to get the zero pole of the circuit. Kirchhoff's voltage law is that for any loop in any lumped parameter circuit, at any time, the algebraic sum of the voltages of all branches along the loop is equal to zero. Kirchhoff's current law is that for any node or closed surface in any lumped parameter circuit, at any time, the algebraic sum of all branch currents passing through the node o...
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IPC IPC(8): H03F3/45
Inventor 张汉儒李修函李旸杨天阳彭飞
Owner BEIJING JIAOTONG UNIV