Ch. 8 Feedback 1 ECE 352 Electronics II Winter 2003 Feedback * What is feedback? Taking a portion of the signal arriving at the load and feeding it back to the input. * What is negative feedback? Adding the feedback signal to the input so as to partially cancel the input signal to the amplifier. * Doesn’t this reduce the gain? Yes, this is the price we pay for using feedback. * Why use feedback? Provides a series of benefits, such as improved bandwidth, that outweigh the costs in lost gain and increased complexity in amplifier design. X o X i X f X s + - β f
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ECE 352 Electronics II Winter 2003 Ch. 8 Feedback 1 Feedback *What is feedback?Taking a portion of the signal arriving at the load and feeding it back.
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Ch. 8 Feedback 1ECE 352 Electronics II Winter 2003
Feedback
* What is feedback? Taking a portion of the signal arriving at the load and feeding it back to the input.
* What is negative feedback? Adding the feedback signal to the input so as to partially cancel the input signal to the amplifier.
* Doesn’t this reduce the gain? Yes, this is the price we pay for using feedback.
* Why use feedback? Provides a series of benefits, such as improved bandwidth, that outweigh the costs in lost gain and increased complexity in amplifier design.
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Ch. 8 Feedback 2ECE 352 Electronics II Winter 2003
Feedback Amplifier Analysis
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Ch. 8 Feedback 3ECE 352 Electronics II Winter 2003
* Gain desensitivity - less variation in amplifier gain with changes in (current gain) of transistors due to dc bias, temperature, fabrication process variations, etc.
* Bandwidth extension - extends dominant high and low frequency poles to higher and lower frequencies, respectively.
* Noise reduction - improves signal-to-noise ratio* Improves amplifier linearity - reduces distortion in signal due to gain
variations due to transistors
* Cost of these advantages: Loss of gain, may require an added gain stage to compensate. Added complexity in design
Advantages of Negative Feedback
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Ch. 8 Feedback 4ECE 352 Electronics II Winter 2003
* There are four types of feedback amplifiers. Why? Output sampled can be a current or a voltage Quantity fed back to input can be a current or a voltage Four possible combinations of the type of output sampling and input
feedback
* One particular type of amplifier, e.g. voltage amplifier, current amplifier, etc. is used for each one of the four types of feedback amplifiers.
* Feedback factor f is a different type of quantity, e.g. voltage ratio, resistance, current ratio or conductance, for each feedback configuration.
* Before analyzing the feedback amplifier’s performance, need to start by recognizing the type or configuration.
* Terminology used to name types of feedback amplifier, e.g. Series-shunt First term refers to nature of feedback connection at the input. Second term refers to nature of sampling connection at the output.
Basic Types of Feedback Amplifiers
Ch. 8 Feedback 5ECE 352 Electronics II Winter 2003
Basic Types of Feedback Amplifiers
Series - Shunt Shunt - Series
Series - Series Shunt - Shunt
Ch. 8 Feedback 6ECE 352 Electronics II Winter 2003
* Recognize the feedback amplifier’s configuration, e.g. Series-shunt
* Calculate the appropriate gain A for the amplifier, e.g. voltage gain. This includes the loading effects of the feedback circuit (some
combination of resistors) on the amplifier input and output.
* Calculate the feedback factor f
* Calculate the factor f A and make sure that it is: 1) positive and 2) dimensionless
* Calculate the feedback amplifier’s gain with feedback Af using
* Calculate the final gain of interest if different from the gain calculated, e.g. Current gain if voltage gain originally determined.
* Determine the dominant low and high frequency poles for the original amplifier, but taking into account the loading effects of the feedback network.
* Determine the final dominant low and high frequency poles of the amplifier with feedback using
Method of Feedback Amplifier Analysis
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Ch. 8 Feedback 7ECE 352 Electronics II Winter 2003
Series-Shunt Feedback Amplifier - Ideal Case
* Assumes feedback circuit does not load down the basic amplifier A, i.e. doesn’t change its characteristics
Doesn’t change gain A Doesn’t change pole frequencies of basic
amplifier A Doesn’t change Ri and Ro
* For the feedback amplifier as a whole, feedback does change the midband voltage gain from A to Af
* Does change input resistance from Ri to Rif
* Does change output resistance from Ro to Rof
* Does change low and high frequency 3dB frequencies
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Feedback Circuit
Equivalent Circuit for Feedback Amplifier
Ch. 8 Feedback 8ECE 352 Electronics II Winter 2003
Series-Shunt Feedback Amplifier - Ideal Case
Midband Gain
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Ch. 8 Feedback 9ECE 352 Electronics II Winter 2003
Series-Shunt Feedback Amplifier - Ideal Case
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Low 3dB frequency lowered by feedback.
Upper 3dB frequency raised by feedback.
Ch. 8 Feedback 10ECE 352 Electronics II Winter 2003
* Feedback networks consist of a set of resistors Simplest case (only case considered here) In general, can include C’s and L’s (not
considered here) Transistors sometimes used (gives variable
amount of feedback) (not considered here)
* Feedback network needed to create Vf feedback signal at input (desirable)
* Feedback network has parasitic (loading) effects including:
* Feedback network loads down amplifier input Adds a finite series resistance Part of input signal Vs lost across this series
resistance (undesirable), so Vi reduced
* Feedback network loads down amplifier output Adds a finite shunt resistance Part of output current lost through this shunt
resistance so not all output current delivered to load RL (undesirable)
Practical Feedback Networks
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* How do we take these
loading effects into account?
Ch. 8 Feedback 11ECE 352 Electronics II Winter 2003
* Need to find an equivalent network for the feedback network including feedback effect and loading effects.
* Feedback network is a two port network (input and output ports)
* Can represent with h-parameter network (This is the best for this particular feedback amplifier configuration)
* h-parameter equivalent network has FOUR parameters
* h-parameters relate input and output currents and voltages
* Two parameters chosen as independent variables. For h-parameter network, these are input current I1 and output voltage V2
* Two equations relate other two quantities (output current I2 and input voltage V1) to these independent variables
* Knowing I1 and V2, can calculate I2 and V1 if you know the h-parameter values
* h-parameters can have units of ohms, 1/ohms or no units (depends on which parameter)
Equivalent Network for Feedback Network
Ch. 8 Feedback 12ECE 352 Electronics II Winter 2003
* Feedback network consists of a set of resistors
* These resistors have loading effects on the basic amplifier, i.e they change its characteristics, such as the gain
* Can use h-parameter equivalent circuit for feedback network Feedback factor f given by h12 since
Feedforward factor given by h21 (neglected)
h22 gives feedback network loading on output
h11 gives feedback network loading on input
* Can incorporate loading effects in a modified basic amplifier. Basic gain of amplifier AV becomes a new, modified gain AV’ (incorporates loading effects).
* Can then use feedback analysis from the ideal case.
Series-Shunt Feedback Amplifier - Practical Case
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Ch. 8 Feedback 13ECE 352 Electronics II Winter 2003
Series-Shunt Feedback Amplifier - Practical Case
* How do we determine the h-parameters for the feedback network?
* For the input loading term h11 Turn off the feedback signal by
setting Vo = 0. Then evaluate the resistance seen
looking into port 1 of the feedback network (also called R11 here).
* For the output loading term h22
Open circuit the connection to the input so I1 = 0.
Find the resistance seen looking into port 2 of the feedback network (also called R22 here).
* To obtain the feedback factor f (also called h12 ) Apply a test signal Vo’ to port 2 of the
feedback network and evaluate the feedback voltage Vf (also called V1 here) for I1 = 0.
Find f from f = Vf/Vo’
Summary of Feedback Network Analysis
Ch. 8 Feedback 14ECE 352 Electronics II Winter 2003
* Evaluate modified basic amplifier (including loading effects of feedback network) Including h11 at input Including h22 at output Including loading effects of source resistance Including load effects of load resistance
* Analyze effects of idealized feedback network using feedback amplifier equations derived
* Note Av’ is the modified voltage gain including the
effects of h11 , h22 , RS and RL. Ri’, Ro’ are the modified input and output
resistances including the effects of h11 , h22 , RS and RL.
Series-Shunt Feedback Amplifier - Practical Case
Summary of Approach to Analysis
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Practical Feedback Network
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Ch. 8 Feedback 15ECE 352 Electronics II Winter 2003