Design and Simulation of Design Methods for Butterworth and
Chebyshev Filter
PRINCE BRAVE GUHYAPATI V.10407663
Background Problem Definition Theoretical Framework Design Steps Results Conclusion
Outlines
The signals are important thing in the nature because they carry some information that needed by the living thing.
The most effective method to reduce noise level from the signals is filtering.
Background
Which method that better for digital filtering corresponding to the components and output signal waveform?
Problem Definition
Lowpass Digital Filter
Infinite Impulse Response has the impulse response with infinite number of samples.
Theoretical Framework
The advantages of IIR digital filter :
Less delay time. Produce an equivalent magnitude response using
a much lower filter order. Easier to design and lower cost to build.
The IIR digital filter consist of two types:
Butterworth = no ripple in both passband and stopband
Chebyshev = has ripple in passband or stopband
Butterworth and Chebyshev Lowpass Filter
Direct Form I & II
Direct Form I
Direct Form II
Cascade & Parallel Canonic Form
Cascade Canonic
Parallel Canonic
Design Steps
Design Steps: Filter Specification
Design Step: Realization Diagrams
Butterworth
Bilinear Transformation Impulse Invariance Step Invariance
Design Steps: Realization Diagrams
Chebyshev
Bilinear Transformation Impulse Invariance Step Invariance
Input signal with noise
Required output signal
Noise signal
Bilinear Transformation Impulse Invariance Step Invariance
Results
For this case, the suitable filter type and method based from the simulation is the Butterworth type filter and bilinear transformation method, because the filter type and method preferred give the output signal nearby similar to the required output signal.
Based from the required components to use, the Butterworth and Chebyshev filter with impulse invariance method use components at the least which only need two delays, one adder and three constant multipliers.
Conclusion
Thank You