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Signals and Systems
book

Signals and Systems

by Smarajit Ghosh
December 2005
Intermediate to advanced
475 pages
12h 6m
English
Pearson India
Content preview from Signals and Systems
11.13 BIT REVERSAL

Let us consider the signal flow graph of eight-point DIT FFT algorithm shown in Fig. 11.12 where the sequence of input data is shuffled as x(0), x(4), x(2), x(6), x(1), x(5), x(3), x(7). The DFT sequence X(k) at the output is in proper order i.e., x(0), x(1)…, x(7). Table 11.4 shows the shuffling of the input sequence has a well defined format.

 

Table 11.4 Computational complexity of DIT FFT algorithm compared to direction method

image

 

Table 11.5 Shuffling of the input sequence

image

 

From Table 11.4, x(1) ∫ x(001) is to be placed ...

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Publisher Resources

ISBN: 9789332515147