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Chebyshev Filter Design for Biomed

The document describes the design of a Chebyshev filter for biomedical applications. It introduces Chebyshev filters, which have a steeper roll-off than Butterworth filters and either passband or stopband ripple. The group designed a type 1 low pass Chebyshev filter using formulas for the transfer function and cutoff frequency. They simulated the filter design in Proteus and generated a graph of the amplitude response. The filter will be used to remove unwanted noise from biomedical signals.

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azeem niazi
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96 views4 pages

Chebyshev Filter Design for Biomed

The document describes the design of a Chebyshev filter for biomedical applications. It introduces Chebyshev filters, which have a steeper roll-off than Butterworth filters and either passband or stopband ripple. The group designed a type 1 low pass Chebyshev filter using formulas for the transfer function and cutoff frequency. They simulated the filter design in Proteus and generated a graph of the amplitude response. The filter will be used to remove unwanted noise from biomedical signals.

Uploaded by

azeem niazi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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ELECTRONIC CIRCUIT DESIGN

(EE-313)
DE-42 Mechatronics
Syndicate – B

Open Ended Lab

Design of a Cheby Chev filter for Bio Medical


Application

Group Members:
1. Hassan riaz # 359135
2. Muhammad Abrar Sidique # 336526
3. Muneeb Zahid # 358892

Submitted to: LE Umer Aslam


Introduction:
Filters are circuits that remove unwanted noise from any signal. A filter is a circuit whose
transfer function, that is the ratio of its output to its input, depends upon frequency.We are using
Chebyshev filters which are analog or digital filters that have a steeper roll-off than Butterworth
filters, and have either passband ripple (type I) or stopband ripple (type II). Properties of this
filter include that it reduces the error between the characteristic of the actual and idealized
filter. Because, inherent of the pass band ripple in this filter. Chebyshev filters have the
property that they minimize the error between the idealized and the actual filter characteristic
over the range of the filter but with ripples in the passband. Type I Chebyshev filters are usually
referred to as "Chebyshev filters", while type II filters are usually called "inverse Chebyshev
filters". [1]
Due to the passband ripple inherent in Chebyshev filters, filters with a smoother response in
the passband but a more irregular response in the stopband are preferred for certain
applications.
Methodology:
Here we have made the type 1 low pass Chebyshev filter. This is the basic type of Chebyshev filter. The
amplitude is an angular frequency function of the nth order of the low pass filter is equal to the total
value of the transfer function .

FORMULA’S:
Gn(w)=|Hn (jω)|=1√(1+ϵ2Tn2() ω/ωo)

Where,ε = ripple factor

ωo= cutoff frequency

Tn= Chebyshev polynomial of the nth order

The order of this filter is similar to the no. of reactive components required for the Chebyshev filter
using analog devices. The ripple in dB is 20log10 √(1+ε2). So that the amplitude of a ripple of a 3db
result from ε=1 An even steeper roll-off can be found if ripple is permitted in the stop band, by
permitting 0’s on the jw-axis in the complex plane. Though, this effect in less suppression in the stop
band. The effect is called a Cauer or elliptic filter . [2]

PROTEUS SIMULATION:
GRAPH:

References

[1] https://en.wikipedia.org/wiki/Chebyshev_filter

[2] https://www.elprocus.com/types-of-chebyshev-filters/

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