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Implementing Radix-2 Fast Fourier Transform in Verilog: Architecture, Code, and Verification
"The Fast Fourier Transform (FFT) is an efficient algorithm for computing the Discrete Fourier Transform (DFT), reducing computational complexity from $O(N^2)$ to $O(N \log N)$. Implementing a Radix-2 Decimation-in-Time (DIT) FFT in Verilog requires balancing hardware complexity, memory utilization, and throughput, typically using Butterfly units, finite state machines, and dual-port RAM structures. Understanding the Radix-2 Decimation-in-Time FFT Algorithm The Fast Fourier Transform underpins modern digital signal processing (DSP), enabling real-time spectral analysis, orthogonal frequency-division multiplexing (OFDM) communications, and imag..."
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