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