Advantages are getting a steeper decline in the band. Disadvantages are having more distortion in the wavelength frequency available.
The difference between chebyshev and inverse chebyshev apprroximation is that the ripple of the Inverse Chebyshev filter is confined to the stop-band.
chebyshev
Chebyshev Type II filter. See related link, below.
thank you
in text form
Advantages of elliptic filters include having steeper roll-off rates and a more compact design compared to other filter types. Disadvantages can include higher sensitivity to component variations, leading to potential tuning and manufacturing challenges.
It minimizes the error between the idealized and the actual filter characteristics over the range of filter, but with the ripples in the passband.Note:Butterworth filter does not give the sufficiently good approximation across the complete passband in many cases. And the Taylor's series is often not suited to the way specifications are given to the filter.For the IIR filter, the Chebyshev error is minimized over the passband and a Taylor's series approximation atis used to determine the stopband performance. This mixture of methods in the IIR case is called the Chebyshev filter
Chebyshev filters are used all over the place in electronics. This type of filter has an all-pole amplitude response with the poles distributed round an ellipse in the complex frequency plane. This is a simple easy to design filter that has an excellent performance. As an example, a Chebyshev low-pass filter can be designed with an amplitude respone that ripples to a chosen amount within the passband, and has a very high slope in the stop-band. It better than a Butterworth (max-flat) filter in terms of performance from a given number of components.
The phase linearity of the Butterworth is better than that of the Chebyshev. In other words, the group delay (derivative of phase with respect to frequency) is more constant with respect to frequency. This means that the waveform distortion of the Butterworth is lower. Of course, with a single input frequency, there is no waveform dostortion in either filter. Another point to consider; the Butterworth filter is completely defined mathematically by 2 parameters: Cutoff frequency and number of poles. The Chebyshev filter has a third parameter: Passband Ripple.
advantages and disadvantages of plate heat exchangers
Advantages and Disadvantages of equity
advantages and disadvantages