1.65k likes | 5.95k Views
Lecture 2 Feedback Amplifier. Introduction of Two-Port Network Negative Feedback (Uni-lateral Case) Feedback Topology Analysis of feedback applications Close-Loop Gain Input/Output resistances. At port 1. At port 2. Open-circuit forward transimpedance. Open-circuit input impedance.
E N D
Lecture 2 Feedback Amplifier • Introduction of Two-Port Network • Negative Feedback (Uni-lateral Case) • Feedback Topology • Analysis of feedback applications • Close-Loop Gain • Input/Output resistances EE3110 Feedback Amplifiers
At port 1 At port 2 Open-circuit forward transimpedance Open-circuit input impedance Open-circuit output impedance Open-circuit reverse transimpedance Two-Port Network (z-parameters) (Open-Circuit Impedance) EE3110 Feedback Amplifiers
Two-Port Network (y-parameters) (Short-Circuit Admittance) At port 1 At port 2 Short-circuit forward transadmittance Short-circuit input admittance Short-circuit output admittance Short-circuit reverse transadmittance EE3110 Feedback Amplifiers
Two-Port Network (h-parameters) (hybrid) At port 1 At port 2 Short-circuit forward current gain Short-circuit input impedance Open-circuit output admittance Open-circuit reverse voltage gain EE3110 Feedback Amplifiers
Two-Port Network (g-parameters) (inverse-hybrid) At port 1 At port 2 Open-circuit forward current gain Open-circuit input admittance Short-circuit output impedance Short-circuit reverse current gain EE3110 Feedback Amplifiers
z-parameter example Note: (1) z-matrix in the last circuit = sum of two former z-matrices (2) z-parameters is normally used in analysis of series-series circuits (3) Z12 = Z21 (reciprocal circuit) (4) Z12 = Z21 and Z11 = Z22 (symmetrical and reciprocal circuit) EE3110 Feedback Amplifiers
y-parameter example EE3110 Feedback Amplifiers
Note: the y-matrix is equal to the sum of two former ones. Therefore, y-parameters is normally used in analysis of shunt-shunt circuits What connection should be for h- or g- parameters? y-parameter example (Cont’) EE3110 Feedback Amplifiers
General Feedback Structure A : Open Loop Gain A = Vo / V : feedback factor = Vf / Vo EE3110 Feedback Amplifiers
Negative Feedback Properties • Negative feedback takes a sample of the output signal and applies it to the input to get several desirable properties. In amplifiers, negative feedback can be applied to get the following properties • Desensitized gain : gain less sensitive to circuit component variations • Reduce nonlinear distortion : output proportional to input (constant gain independent of signal level) • Reduce effect of noise • Control input and output impedances by applying appropriate feedback topologies • Extend bandwidth of amplifier • All of these properties can be achieved by trading off gain EE3110 Feedback Amplifiers
Gain De-sensitivity • Feedback can be used to desensitize the closed-loop gain to variations in the basic amplifiler. • Assume is constant. Take differentials of the closed loop gain equation gives, • Divided by Av, the close loop gain sensitivity is equal to, • This result shows the effects of variations in A on ACL is mitigated by the feedback amount. • (1+A) is also called the desensitivity amount. Differential respected with A EE3110 Feedback Amplifiers
Basic Feedback Topologies Depending on the input signal (voltage or current) to be amplified and form of the output (voltage or current), amplifiers can be classified into four categories. Depending on the amplifier category, one of four types of feedback structures should be used. (Type of Feedback)(Type of Sensing) (1) Series (Voltage) Shunt (Voltage) (2) Series (Voltage) Series (Current) (3) Shunt (Current) Shunt (Voltage) (4) Shunt (Current) Series (Current) EE3110 Feedback Amplifiers
Feedback Structure (Series-Shunt) Voltage Gain Calculation: • Voltage amplifier voltage-controlled voltage source • Requires high input impedance, low output impedance • Voltage-voltage feedback EE3110 Feedback Amplifiers
Input/Output Resistance (Series-Shunt) Input Resistance: Output Resistance (Closed loop output resistance with zero input voltage) EE3110 Feedback Amplifiers
Only uni-lateral case • will be considered : • NO reverse dependent signal found in the amplifier network. |h12a| = 0 • NO reverse dependent signal found in the feedback network. |h21f| = 0 h-parameter Modeling EE3110 Feedback Amplifiers
Uni-lateral EE3110 Feedback Amplifiers
Series-Shunt Example • It is observed that: • Series connection in input ports • Shunt connection in output ports • Series-Shunt connection • h-parameter should be used. Equivalent circuit EE3110 Feedback Amplifiers
h-parameter analysis 1 EE3110 Feedback Amplifiers
Feedback Structure (Series-Series) EE3110 Feedback Amplifiers
Input/Output Resistance (Series-Series) Input Resistance: Output Resistance (Closed loop output resistance with zero input voltage) EE3110 Feedback Amplifiers
Series-Series Example CE amplifier with an un-bypassed emitter ac small signal equivalent circuit EE3110 Feedback Amplifiers
Feedback Network with z-parameter Reduce equivalent circuit EE3110 Feedback Amplifiers
Close loop analysis EE3110 Feedback Amplifiers
Final Rin and Rout EE3110 Feedback Amplifiers
Feedback Structure (Shunt-Shunt) EE3110 Feedback Amplifiers
Input/Output Resistance (Shunt-Shunt) Input Resistance: Output Resistance (Closed loop output resistance with zero input voltage) EE3110 Feedback Amplifiers
Shunt-Shunt Example CE amplifier ac small signal equivalent circuit Shunt-Shunt connection found! y-parameter EE3110 Feedback Amplifiers
Feedback Network y-parameter modeling EE3110 Feedback Amplifiers
Feedback Structure (Shunt-Series) EE3110 Feedback Amplifiers
Input/Output Resistance (Shunt-Series) Input Resistance: Output Resistance (Closed loop output resistance with zero input voltage) EE3110 Feedback Amplifiers
Summary EE3110 Feedback Amplifiers
Supplementary Find the input and output resistance from - Two port network, and - Circuit theory EE3110 Feedback Amplifiers
Circuit Theory EE3110 Feedback Amplifiers
Two Port Network EE3110 Feedback Amplifiers