"""
ECE 09351 - Digital Signal Processing
Lab 1 Question 3

Translated from MATLAB by Aidan Sharpe
Last Modified: January 18, 2025
"""


from sympy import simplify, fourier_transform, sinc
from sympy.abc import t, f


def main():
    x = sinc(0.5*t)                             # Define x as sinc(0.5t) = sin(0.5t)/(0.5t)
    X = simplify(fourier_transform(x, t, f))    # Evaluate the Fourier transform of x, converting from t domain to f domain
    print(X)


if __name__ == "__main__":
    main()