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

To determine which type of filter corresponds to a given transfer function (TF), we can analyze the characteristics of the filter types listed:

1. All Pass Filter: This type of filter allows all frequencies to pass through but alters the phase of the signals.

2. High Pass Filter: This filter allows high-frequency signals to pass while attenuating low-frequency signals. Its transfer function typically has a zero at $s = 0$.

3. Band Pass Filter: This filter allows a specific range (band) of frequencies to pass through while attenuating frequencies outside this range. Its transfer function usually has both a zero and a pole.

4. Low Pass Filter: This filter allows low-frequency signals to pass while attenuating high-frequency signals. Its transfer function has a pole at $s = \infty$.

Selection of Filter

To select the correct answer, one must analyze the given transfer function (TF) of the system. Since the TF is not provided, we cannot definitively choose one of the options. However, if you can provide the transfer function, I can assist in identifying the exact type of filter based on the characteristics outlined above.

In general, here's how you can identify the filter type:

• If the TF has poles at low frequencies and no zeros at low frequencies, it is a Low Pass Filter.
• If there are zeros at low frequencies, it is likely a High Pass Filter.
• A combination of zeros and poles that defines a certain band suggests a Band Pass Filter.
• If the transfer function includes both zeros and poles but maintains a flat response across all frequencies, it is likely an All Pass Filter.

Please provide the details of the transfer function for a precise answer.