Since the non-inverting input terminal is grounded v2=0. Since the input is applied to the inverting terminal vo and vi are opposite in polarity and hence the feedback is negative. The feedback from the output of the inverting terminal is provided through the feedback resistor Rf.

It is used in radar to design the display of radar target tracking.The input signal vi is applied to the inverting input terminal through resistor R1 and the non-inverting input terminal is grounded.

It is also used in various communication and control systems.An efficient audio noise reduction tool can be developed using a Butterworth filter. The Butterworth filter is used in the audio processing application.Because of the maximal flat frequency response in the passband, it is used as an anti-aliasing filter in data converter applications.The applications of a Butterworth filter are listed below: The cutoff frequency of this filter is equal to the passband frequency. Cutoff Frequency The cutoff frequency of this filter is not equal to the passbandįrequency. The Chebyshev filter has a narrow transition band compared to the Butterworthįilter. Transition band The Butterworth filter has a wider transition band compared to the Chebyshevįilter. All poles lie on ellipse having major axis R, ξ, minor axis r. Poles All poles lie on a circle having a radius of the cutoff frequency. There is either ripple in passband or stopband. Ripple There is no ripple in passband and stopband of frequency response. The order of the Chebyshev filter is less compared to the Butterworthįilter for the same desired specifications. Butterworth Filter Chebyshev Filter Order of Filter The order of the Butterworth filter is higher than the Chebyshevįilter for the same desired specifications. The difference between the Butterworth filter and Chebyshev filter is as shown in the below table. Type-2 filter is also known as “Inverse Chebyshev filter”. Type-1 Chebyshev filter is commonly used and sometimes it is known as only “Chebyshev filter”. But it consists of ripples in the passband (type-1) or stopband (type-2). The Chebyshev filter has a steeper roll-off than the Butterworth filter. The frequency response of this filter is as shown in below figure.ĭifference Between Butterworth and Chebyshev Filter While designing the second-order Butterworth filter above relation must be satisfy. And if we put this value in equation of quality factor, we can find the value of gain.

The value of quality factor is 0.707 for the Butterworth filter. If the value of gain is more than 3, the system will be unstable. And the value of gain should not more than 3. We can say that, the quality factor is only depends on the gain of filter. Now if we put above values in transfer function,įrom above equation, the quality factor Q is equal to, Now, if we consider the value of R 2 is same as R 3 and the value of C 2 is same as C 3. And that is,īy comparing above equations, we can find the equation of cutoff frequency and overall gain for the second-order lowpass Butterworth filter. Compare this equation with the standard form transfer function for second-order Butterworth filter.

Low pass opamp filter designer