Using a length running-sum filter, let's make bandpass filters tuned to center frequencies

(10.11) |

Since the bandwidths, as defined, are , the filter pass-bands overlap by 50%. A superposition of the bandpass frequency responses for is shown in Fig.9.14. Also shown is the frequency-response sum, which we will show to be exactly

- System Diagram of the Running-Sum Filter Bank
- DFT Filter Bank
- Inverse DFT and the DFT Filter Bank Sum

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University