Raised Cosine Filter Coefficient Calculation Function

This function performs raised cosine filter coefficient calculation, providing a convenient and efficient solution for digital communication systems. The algorithm accepts input parameters including sampling rate, symbol rate, roll-off factor, and filter span to compute optimal filter coefficients. Implementation typically involves generating a symmetric impulse response using the mathematical raised cosine formula: h(t) = sinc(t/T) * cos(απt/T) / (1 - (2αt/T)²), where T is the symbol period and α is the roll-off factor. The function automatically handles normalization and windowing to ensure practical filter performance. Key advantages include straightforward parameterization, computational efficiency through vectorized operations, and direct compatibility with MATLAB's filter design functions. This makes the function ideal for applications requiring pulse shaping in digital modulators, matched filtering in receivers, and intersymbol interference reduction. For engineers working on communication system design, this function significantly simplifies the raised cosine filter implementation process while maintaining professional-grade results.