Can someone help me solve 2b. I solved it an got 1,580,032 complex multiples. I want to check if i did it correctly.

Image transcriptions

2. Filtering Long Sequences: (20 Pis) We obtain 6.8 seconds of a real sampled speech signal that was sampled at a sampling rate of 8000 samples per second. We wish to use the overlap-save filtering procedure with an FIR digital filter with 120 real coolllcients. (a) Determine the total number of complex multiplications required to filter the in- put sequence using an FFT algorithm directly without using the overlap-save procedure. The FFT size must be a power of 2 and it should be large enough to accommodate linear convolution of the two sequences. Assume that the FFT is for real data such that the number of complex multiplications for a single FFT and inverse PFT is C= 2 log. (N) (1) where N is the number of samples in the sequence. (b) Determine the total number of complex multiplications required to fillup the se- quence using the overlap-save procedure and a block size of 1024 samples.

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