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The filter whose TF of the system is  isSelect one:a. All pass Filter  b. High pass Filterc. Low pass Filterd. Band pass Filter

Question

The filter whose TF of the system is

Select one:
a. All pass Filter
b. High pass Filter
c. Low pass Filter
d. Band pass Filter

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Solution

To determine which type of filter corresponds to the given transfer function (TF), we need to analyze the characteristics of the provided transfer function.

Analysis of Filter Types

  1. All Pass Filter: This type of filter allows all frequencies to pass through but alters the phase of the output signal. The magnitude of its transfer function is constant across all frequencies.

  2. High Pass Filter: A high pass filter allows the frequencies above a certain cutoff frequency to pass while attenuating frequencies below that cutoff.

  3. Low Pass Filter: A low pass filter allows the frequencies below a certain cutoff frequency to pass while attenuating frequencies above that cutoff.

  4. Band Pass Filter: This filter allows a specific range (band) of frequencies to pass while attenuating frequencies below and above that range.

Conclusion

To select the correct type of filter from the options provided (All pass Filter, High pass Filter, Low pass Filter, Band pass Filter), one must examine the characteristics stated above.

Please check the characteristics of the transfer function provided in your question. If it shows high-frequency attenuation and low-frequency passage, it would be a high pass filter. Conversely, if it indicates high-frequency loss but preserves low frequencies, it's a low pass filter.

Since the exact transfer function is not specified here, please analyze its form and make your selection based on the definitions provided.

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