Explanation: In the overlap add method, the N-point data block consists of L new data points and additional M-1 zeros and the number of complex multiplications required in FFT algorithm are (N/2)log2N.
So, the number of complex multiplications per output data point is [Nlog22N]/L.
For an input sequence of size N, the number of multiplications required by the Cooley-Tukey FFT algorithm is approximately N log2 N.
For example, if the input sequence has a size of 1024, then the number of multiplications required by the Cooley-Tukey FFT algorithm is approximately 1024 * log2(1024) = 1048576.
The algorithms for this special case are called fast Fourier transform (FFT).
The advantages of the FFT include speed and memory efficiency.
The DFT can process sequences of any size efficiently but is slower than the FFT and requires more memory, because it saves intermediate results while processing.