Calculating the cutoff frequency on analog filter

[cupcake]

for Butterworth filter -> Ha(s).Ha(-s) where s=jΩ
I got (Ω^4)/1+Ω^6 hence this not Butterworth filter, and I managed to find all the poles, where all the poles lie on the left hand side so this filter is stable..

My problem is, I'm not quite sure how to calculate the cutoff frequency, for Butterworth filter, the cutoff frequency should be Ωc=1. However, this filter is not a Butterworth filter, so how do I calculate the cutoff frequency?

Kindly need assistance here.. thanks

 

[KataKoniK]

Thank you for sharing your findings and questions about the Butterworth filter. As you correctly mentioned, the cutoff frequency for a Butterworth filter is usually defined as Ωc=1. However, in this case, since the filter is not a Butterworth filter, the cutoff frequency may not be as straightforward to calculate.

In order to determine the cutoff frequency for this filter, you may need to consider the transfer function Ha(s)Ha(-s) in more detail. The transfer function represents the relationship between the input and output signals of the filter, and it can provide information about the frequency response of the filter.

One approach to finding the cutoff frequency could be to plot the frequency response of the filter using the transfer function. This can be done by substituting different values for Ω and observing the corresponding magnitude and phase of the response. The cutoff frequency can then be determined as the frequency at which the magnitude of the response drops to a certain threshold, or the phase shift reaches a certain value.

Another option could be to analyze the poles and zeros of the transfer function. The poles represent the frequencies at which the filter response attenuates or amplifies the input signal, while the zeros represent the frequencies at which the response remains unchanged. By examining the locations of the poles and zeros, you may be able to determine the cutoff frequency for this filter.

I hope this helps to guide your analysis and calculation of the cutoff frequency for this filter. Remember to also consider the specific characteristics and design parameters of the filter, as these can also provide valuable insights into its frequency response and behavior.

Best of luck with your research and analysis.