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Eric Ratliff dc4e379b95 Showing raised cosine and FFT. 
Raised cosine is displayed in an interactive JavaFX GUI. The beta
value can be dyanmically adjusted from 0 to 1 and an FFT displays
the spectral impact to the most recent adjustment.
A low-pass filter can replace the raised cosine FIR filter to show
the difference between the two.
2024-09-13 19:51:09 -05:00

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Speed Graph with Adjustable Raised Cosine Filter

This JavaFX application demonstrates the concept of a raised cosine filter applied to signal data, visualized in a dynamic graph. The user can control two key parameters:

Key Features

1. Speed (Vertical Slider)

  • Controlled via a vertical slider.
  • This parameter determines the value of the signal (represented as speed) at each time step.
  • The slider's range is from -100 to 100.

2. Beta (Roll-off Factor - Horizontal Slider)

  • Controlled via a horizontal slider.
  • Adjusts the roll-off factor (β) of the raised cosine filter.
  • A higher beta value produces smoother transitions in the signal.
  • The range is from 0 (sharp transitions) to 1 (smooth transitions).

Graph Display

The graph displays two series:

  • Original Speed: Represents the unfiltered signal, directly derived from the speed slider.
  • Filtered Speed (Raised Cosine): Represents the signal after it has been processed by a raised cosine filter, smoothing transitions based on the roll-off factor (beta).

Dynamic Graph

  • The graph updates in real-time, continuously adding new points.
  • It provides a sliding window effect, always showing the latest data over a fixed time window.

Pre-populated Graph

  • The graph is filled with zeros at startup, ensuring smoother transitions immediately.

Adjustable Raised Cosine Filter

  • The filtered speed is processed using a raised cosine filter.
  • The filter is adjustable via the beta slider to simulate smooth signal transitions.

Signal Smoothing with FIR Filtering

  • The raised cosine filter is implemented as a finite impulse response (FIR) filter.
  • The coefficients (taps) of the filter are dynamically generated and applied to the input signal for smoothing.

Live Beta Value Display

  • The current beta value is displayed dynamically as the slider is adjusted.
  • This helps the user visualize the filter’s effect in real-time.

Technologies Used

  • JavaFX: For the graphical user interface, including sliders and real-time graph.
  • JFreeChart: For rendering the dynamic line chart visualizing signal data.

Purpose

This application simulates how a raised cosine filter can smooth transitions in a signal, with user-controllable parameters. It's particularly relevant for digital communication systems, where pulse shaping is critical for minimizing bandwidth and reducing inter-symbol interference (ISI).