February 2007
Intermediate to advanced
464 pages
14h 40m
English
Content preview from Audio Signal Processing and Coding
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PROBLEMS
7.1. Given the expressions for the DFT, the DCT, and the MDCT,
Figure 7.5. FFT analysis/synthesis within the two bands of QMF bank.
Write the three transforms in matrix form as follows
XT = Hx,
where H is the transform matrix, and x and XT denote the input and transformed vector, respectively. Note the structure in the transform matrices.
7.2. Give the signal flowgraph of the FFT butterfly structure for an 8-point DFT, an 8-point DCT, and an 8-point MDCT. Specify clearly the values on the nodes and the branches. [Hint: See Problem 6.16 and Figure 6.18 in Chapter 6.]