Digital Filter Design Fda Tools Matlab

Solution:

The response types and design method of all types of filters are discussed one by one as follows:

First, we see the Low pass, High pass, Bandstop, and Bandpass filters responses because based on these filters the FIR and IIR and their types are designed accordingly:

Low pass filter:

In FDAtool in MATLAB when you pick this option, a low pass filter is displayed in the display region as shown in the following figure # 01. The Frequency Specifications, as well as Magnitude Specifications regions, are modernized with the relevant parameters.

High pass filter:

In FDAtool in MATLAB when you pick this option, a high pass filter is displayed in the display region as shown in figure # 02. The Frequency Specifications, as well as Magnitude Specifications regions, are modernized with the relevant parameters.

Band pass filter:

In FDAtool in MATLAB when you choose this option, a bandpass filter is displayed in the display region as shown in figure # 03. The Frequency Specifications, as well as Magnitude Specifications regions, are modernized with the relevant parameters.

Band stop filter:

In FDAtool in MATLAB when you choose this option, a band-stop filter is displayed in the display region shown in figure # 04. The Frequency Specifications, as well as Magnitude Specifications regions, are modernized with the relevant parameters.

FIR (Finite Impulse Response) filter and its types in FDAtool in MATLAB:

FIR filter:

For designing the FIR filter the response type is "Lowpass" and the design method is "Window" as shown in the following figure:

Types of FIR filter by using FDAtool:

Equiripple:

Here the FIR filter response type is "Lowpass" while its design method is "Equiripple":

Least Squares:

Here the FIR filter response type is "Lowpass" while the design method is "least squares"

Windowing:

This type of FIR filter is further categorized in the following types which are sown in FDAtool step by step:

Rectangular:

This FIR filter type response type is "Lowpass" while the design method is "Window":

Triangular:

This FIR filter type response type is "Highpass" while the design method is "Window"

Hamming:

This FIR filter type has response type is "Bandpass" while the design method is "Window".

Hanning:

This type of FIR filter has a response type is "Bandstop" while the design method is "window".

Blackman:

This type of FIR filter has the response type "Lowpass" while the design method is "Window".

Kaiser:

This FIR filter type has response type is "Lowpass" while the design method is "Window".

IIR (Infinite Impulse Response) filter and its types in FDAtool in MATLAB:

IIR filter:

The IIR filter response type is "Lowpass" while the design method is "Butterworth".

Types of IIR filter:

Butterworth:

This IIR filter type has response type is "Lowpass" while the design method is "Butterworth".

Now this type also in response type "Highpass" with design method "Butterworth" is shown in the following:

Figure # 16: Butterworth (HPF) filter with FDAtool

The response type "Bandpass" with design method "Butterworth" for this type is shown in the following:

Figure # 17: Butterworth (Bandpass) filter with FDAtool

The response type "Bandstop" with design method "Butterworth" of this type is shown in the following:

Figure # 18: Butterworth (Bandstop) filter with FDAtool

Chebyshev type 1:

This IIR filter type has response type "Lowpass" while the design method is "Chebyshev type 1".

The response type "Highpass" with design method "Chebyshev type 1" is shown in the following figure:

Figure # 20: Chebyshev type 1 (HPF) filter with FDAtool

The response type "Bandpass" with design method "Chebyshev type 1" is shown in the following figure:

Figure # 21: Chebyshev type 1 (Bandpass) filter with FDAtool

The response type "Bandstop" with design method "Chebyshev type 1" is shown in the following figure:

Figure # 22: Chebyshev type 1 (Bandstop) with FDAtool

Chebyshev type II:

The response type "Lowpass" with design method "Chebyshev type II" is shown in the following figure:

The response type "Highpass" with design method "Chebyshev type II" is shown in the following figure:

Figure # 24: Chebyshev Type II (HPF) filter with FDAtool

The response type "Bandpass" with design method "Chebyshev type II" is shown in the following figure:

Figure # 25: Chebyshev Type II (Bandpass) filter with FDAtool

The response type "Bandstop" with design method "Chebyshev type II" is shown in the following figure:

Figure # 26: Chebyshev type II (Bandstop) filter with FDAtool

Elliptic:

The response type "Lowpass" with design method "Elliptic" is shown in the following figure:

The response type "Highpass" with design method "Elliptic" is shown in the following figure:

Figure # 28: Elliptic (HPF) filter with FDAtool

The response type "Bandpass" with design method "Elliptic" is shown in the following figure:

Figure # 29: Elliptic (Bandpass) filter with FDAtool

The response type "Bandstop" with design method "Elliptic" is shown in the following figure:

Figure # 30: Elliptic (Bandstop) filter with FDAtool

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