- #1

Apogee

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Also, would the normalized transfer function be defined as H(w)/H_max = H(w)/H(w0)?

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- Thread starter Apogee
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In summary, the conversation discusses the transfer function of a filter and the maximum value of the transfer function. The resonant frequency w0 is mentioned as the frequency at which the impedance seen at the input is purely real, but it is pointed out that this may not always be the same as the frequency at which the transfer function is at its maximum value. The idea of normalizing the transfer function is also mentioned, but it is questioned if this is necessary for such a simple function.

- #1

Apogee

- 45

- 1

Also, would the normalized transfer function be defined as H(w)/H_max = H(w)/H(w0)?

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- #2

BvU

Science Advisor

Homework Helper

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Aren't you mixing up a few things ? Depending on the notation, usually ##\omega_0## and the ##\omega## for which ##|H| ## is maximum, are different.

Read up on simple examples such as harmonic oscillators

Note that the figure right there is much more insightful

Resonant frequency is the frequency at which an object vibrates with the greatest amplitude when it is struck or stimulated in some way.

Resonant frequency can be calculated using the equation f_{0} = 1/(2π√(LC)), where f_{0} is the resonant frequency, L is the inductance, and C is the capacitance.

A transfer function is a mathematical representation of the relationship between the input and output of a system, such as an electrical circuit, at different frequencies.

A transfer function is used to analyze and design systems, such as filters or amplifiers, in various engineering fields. It helps engineers to understand how a system responds to different input frequencies and to optimize its performance.

The transfer function of a system is affected by the components used in the system, such as resistors, capacitors, and inductors, as well as the physical properties of the system, such as its size, shape, and material. Environmental factors, such as temperature and humidity, can also affect the transfer function.

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