# The error between the desired ideal filter and

The Parks-McClellan algorithm is used to design the most
appropriate filters between the real and desired frequency responses. Filters
are ideal for the reduction of the maximum error between the desired frequency
response and the actual frequency response. The filters designed in this way
exhibit an equal behavior in the frequency response and are sometimes referred
to as equiripple filters 37.Least Squares The
linear-phase FIR filter is used to minimize the weighted, integrated square
error between the ideal partial linear function and the magnitude response of
filter the preferred frequency bands 38.Designing FIR filters using the windowing method can be
simple and fast. One of the simplest window methods is the rectangular window
method 39.Constrained Least Squares (CLS) FIR filter design functions
are one of the techniques that enable FIR filters to be designed without having
to clearly define passbands for magnitude response 40.

Filter designs were made using some of these methods, and it
was applied to signal.IIR filters can be the best efficient of the digital signal
processing(DSP) methods 41.  As the input
is bound to its current and past values, which is also connected to the past
values, that is feedback filtered. The relationship between inputs and outputs
of an IIR Filter is showing in the Equation 2.where P represents the
Filter Order,

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is the filter coef?cient, and

is the feed-forward
coef?cient. When designing IIR
filter in MATLAB these methods can be used:A Butterworth filter is a type of signal processing filter
that has a straight frequency response as possible as within the passband 42.Chebyshev filters are analog or digital filters with a more
robust deactivation than Butterworth filters and more
transition band waves (type I) or stop band waves (type II). The Chebyshev
filters may have the ability to reduce the error between the desired ideal
filter and the actual filter characteristic to the lowest throughout the
filter’s range, but there may be ripples in the transition band 43.There is a relevance between Chebyshev Type I and Chebyshev
Type II filters. The Chebyshev Type
II Filter, also known as the Inverse Chebyshev Filter. Chebyshev Type II Filter
refers to this filter when there is a smooth passband magnitude response and an
equal response is found on the stop band 44.