Design and Simulation of Design Methods for Butterworth and Chebyshev Filter
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Transcript of Design and Simulation of Design Methods for Butterworth and Chebyshev Filter
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Design and Simulation of Design Methods for Butterworth and
Chebyshev Filter
PRINCE BRAVE GUHYAPATI V.10407663
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Background Problem Definition Theoretical Framework Design Steps Results Conclusion
Outlines
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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
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Which method that better for digital filtering corresponding to the components and output signal waveform?
Problem Definition
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Lowpass Digital Filter
Infinite Impulse Response has the impulse response with infinite number of samples.
Theoretical Framework
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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
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Butterworth and Chebyshev Lowpass Filter
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Direct Form I & II
Direct Form I
Direct Form II
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Cascade & Parallel Canonic Form
Cascade Canonic
Parallel Canonic
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Design Steps
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Design Steps: Filter Specification
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Design Step: Realization Diagrams
Butterworth
Bilinear Transformation Impulse Invariance Step Invariance
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Design Steps: Realization Diagrams
Chebyshev
Bilinear Transformation Impulse Invariance Step Invariance
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Input signal with noise
Required output signal
Noise signal
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Bilinear Transformation Impulse Invariance Step Invariance
Results
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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
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Thank You