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Chapter 9

Frequency Response

Network Function of a Circuit
Network Function of a Circuit
The frequency response of a circuit, which characterizes its behavior with varying signal frequency, can be analyzed using the transfer or network ...
Frequency Response of a Circuit
Frequency Response of a Circuit
Consider an inductive circuit in the time domain. The equivalent frequency domain circuit is obtained by replacing the resistance and inductance with ...
Gain
Gain
In communication systems, gain quantifies the extent of signal amplification or attenuation. Power gain denotes the common logarithm of the ratio of ...
Bode Plots
Bode Plots
Consider an electrocardiogram unit that utilizes a low-pass filter with a complex network function represented by its magnitude and phase angle. The ...
Transfer function and Bode Plots-I
Transfer function and Bode Plots-I
Consider the transfer function of a system expressed in standard form. The transfer function has a constant gain, a zero and a pole at the origin, a ...
Transfer function and Bode Plots-II
Transfer function and Bode Plots-II
Consider the transfer function in its standard form, with poles and zeros For a transfer function with a simple zero, the magnitude gain at small ...
Bode Plots Construction
Bode Plots Construction
Tissue electrodes in electrocardiograms (E-C-G) establish a conductive pathway for electrical currents between the tissues and the measuring electrodes, ...
Series Resonance
Series Resonance
Consider a radio tuner that precisely selects a signal of a particular frequency. The tuner consists of a series-connected resistor, capacitor, and ...
Characteristics of Series Resonant Circuit
Characteristics of Series Resonant Circuit
Consider a radio transmitter unit that incorporates an RLC series resonance band-pass filter. This circuit's frequency response indicates that the ...
Parallel Resonance
Parallel Resonance
Consider an AM radio tuner comprising a parallel connection of a resistor, capacitor, and inductor, which collectively contribute to the circuit's ...
Frequency Response of Op Amp Circuits
Frequency Response of Op Amp Circuits
Consider a guitar pickup connected to a buffer amplifier. This buffer amplifier, with a non-inverting op-amp, bridges the guitar's high impedance and ...
Passive Filters
Passive Filters
Consider an audio speaker system with filter circuits. These circuits selectively pass desired frequencies while attenuating others, limiting signals to a ...
Active Filters
Active Filters
Certain passive filters incorporate expensive inductors designed not to exceed unity gain. These filters may exhibit reduced attenuation efficacy at ...
Scaling
Scaling
Magnitude and frequency scaling simplifies filter design by calibrating filter responses and circuit parameters to fit within usable ranges. Magnitude ...
Design Example
Design Example
An engineer designs a circuit for a speaker system with a 2 kHz crossover frequency requirement, considering the speaker's resistance of 8 ohms. The ...
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