Digital Filter Designer

This desktop application enables users to design custom digital filters by placing zeros and poles on the z-plane. The application provides a user-friendly interface with the following features:

Interactive Z-Plane Plot:

Insertion:

• Mode Selection: Use the toggle buttons above to determine whether you want to insert a zero or a pole.
• Procedure: Left-click on the z-plane to insert the selected zero or pole.

Deletion

• Selection: Right-click on any item in the z-plane.
• Options: A list of options will appear, including the deletion option.
• Procedure: Choose the deletion option to remove the selected item.

Dragging

• Action: Left-click and hold on an item in the z-plane.
• Procedure: Move the mouse to drag the corresponding item to a new position on the z-plane.

Swapping

• Selection: Right-click on any item in the z-plane.
• Options: A list of options will appear, including the swapping option.
• Procedure: Choose the swapping option to interchange the position of the selected item with another item.

Clear Operations

• Mode Selection: Use the combo box below the z-plane to select the mode of clearing: zeros, poles, or both.
• Procedure: After selecting the desired mode, press the clear button to remove the corresponding elements from the z-plane.

Conjugates

• Control: Use the checkbox above to enable or disable the addition of conjugate pairs.
• Procedure: When enabled, inserting a zero or pole will automatically add its conjugate pair if applicable.

Conjugates Control

• Functionality: When pairs are inserted as conjugates, all operations (insertion, deletion, dragging, and swapping) will be performed on the pair as long as the checkbox is checked.

Frequency Response Visualization

• Magnitude and Phase Response Plot: Visualize the frequency response of the designed filter with separate graphs for magnitude and phase responses.

Real-Time Filtering

• Real-Time Signal Processing: Apply the designed filter on a lengthy signal in real-time, with customizable temporal resolution.
• Signal Input: Users can input an arbitrary real-time signal by moving the mouse on a small padding area. The input signal is determined by the x- or y-dimension of the mouse coordinate, and the motion speed influences the signal frequency.

All-Pass Filters for Phase Correction

• All-Pass Filter Library: Explore and visualize a library of all-pass filters, including their zero-pole combinations and phase responses.
• Library Selection: Pick one or more all-pass filters from the library to add to the original design.
• Custom All-Pass Filters: Users can build their own all-pass filters by providing arbitrary parameters, and the application calculates the phase response and integrates it into the library.
• Enable/Disable Functionality: Users can enable/disable added all-pass elements via checkboxes group.

Preveiw

Z-Plane

Z_plane.mp4

Low Pass Filter

LPF.mp4

High Pass Filter

HPF.mp4

Getting Started

1. Clone this repository.

git clone git@github.com:joyou159/Realtime_Digital_Filter_Design.git

2. Install the required dependencies.

pip install -r requirements.txt

3. Run the application.

python main.py