Explore the Sparse Fourier Transform algorithm and its applications in real-time decision making through this 44-minute lecture by Haitham Hassanieh from the University of Illinois Urbana-Champaign. Delve into the fundamentals of Fast Fourier Transform before examining the Sparse Fourier Transform and its algorithms. Investigate the spectrum crisis and dynamic spectrum access, focusing on real-time spectrum sensing and sparse recovery techniques. Learn how the algorithm works, including bucketing, collision handling, and real-time receiver implementation. Discover applications in millimeter-wave wireless networks, addressing challenges such as phase shifters and carrier frequency offset. Gain insights into random hashing techniques used in this cutting-edge approach to signal processing and spectrum management.