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This question was created from Exam1_2012.pdf https://www.coursehero.com/file/26518299/Exam1-2012pdf/

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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.

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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 filter the se-
quence using the overlap-save procedure and a block size of 1024 samples.

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