MATLAB Implementation of Broadband Beamforming with FIR Filter Design

In this discussion, we will explore broadband beamforming and FIR filter coefficient design. Our specified bandwidth ranges from 500Hz to 700Hz, with a sampling rate of 3000Hz. The primary objective involves filtering white noise sequences to obtain band-limited broadband time-domain signals. Throughout this process, we must consider several critical factors including filter cutoff frequencies and filter order selection. Additionally, we need to choose appropriate filtering algorithms to achieve our goals. The implementation typically involves creating FIR filters using MATLAB functions like fir1 or firls, where we specify the normalized frequency range [500/1500, 700/1500] since the Nyquist frequency is 1500Hz (half the sampling rate). We'll generate white noise using randn function and apply filtering through conv or filter functions. This text will thoroughly examine these considerations and provide practical solutions and recommendations to ensure optimal broadband beamforming and FIR filter design, including code structure and parameter optimization techniques.