Designing Low-Pass, Band-Pass, and High-Pass Filters Using Kaiser Window

This MATLAB function implements Kaiser window design for low-pass, band-pass, and high-pass filters, displaying all three filter types in a unified graph. The required impulse function and impulse response function are included in the compressed package, with all frequencies specified as digital frequency values. During the filter design process, parameters such as window length and cutoff frequency can be adjusted to achieve superior filtering performance. The implementation allows threshold modification to control filter sensitivity, adapting to different signal processing requirements. Furthermore, the function supports cascade filter structures to enhance performance - by fine-tuning parameters of individual filters in the cascade, more precise filtering effects can be achieved. Key implementation aspects include: using MATLAB's signal processing toolbox functions for Kaiser window generation, implementing frequency response calculation through FFT algorithms, and providing interactive parameter adjustment interfaces. The function employs digital frequency normalization (0 to π radians/sample) for all frequency specifications, ensuring compatibility with standard DSP conventions. In summary, this function provides a simple yet flexible approach to design and customize Kaiser window filters, catering to diverse signal processing needs across various application scenarios. The code structure allows straightforward modification of filter characteristics through well-documented parameter variables and includes visualization functions for immediate frequency response evaluation.