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Understanding Digital Signal Processing

Understanding DigitalSignal Processing Third EditionThis page intentionally left blank Understanding DigitalSignal Processing Third EditionRichard G. LyonsUpper Saddle River, NJ Boston Indianapolis San FranciscoNew York Toronto Montreal London Munich Paris MadridCapetown Sydney Tokyo Singapore Mexico CityMany of the designations used by manufacturers and sellers to distinguish their products are claimed as trade-marks. Where those designations appear in this book, and the publisher was aware of a trademark claim, thedesignations have been printed with initial capital letters or in all author and publisher have taken care in the preparation of this book, but make no expressed or implied war-ranty of any kind and assume no responsibility for errors or omissions.

4.4 FFT Input/Output Data Index Bit Reversal 149 4.5 Radix-2 FFT Butterfly Structures 151 4.6 Alternate Single-Butterfly Structures 154 References 158 Chapter 4 Problems 160 5 FINITE IMPULSE RESPONSE FILTERS 169 5.1 An Introduction to Finite Impulse Response (FIR) Filters 170 5.2 Convolution in FIR Filters 175 5.3 Lowpass FIR Filter Design 186

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