# Course content continued

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*Fast Fourier Transform* FFT algorithm Implementation Application to digital filtering and spectral analysis Spectral leakage and frequency resolution limitations Picket fence error Discrete cosine transform

*How come this doesn't work like it should?* Fixed point and floating point arithmetic 2's complement arithmetic How to prevent numerical problems like limit cycle, overflow saturation, state variable explosion, and coefficient quantization sensitivity A common myth about biquads Dynamic range calculation External normalization and optimal implementations

*DSP Hardware, Software & Development* Hardware multiplier Harvard architecture Programmable DSP chips DSP in MHz band and DSP building blocks ADC and DAC High resolution convertors Delta sigma convertors How to select the proper convertor Mixed signal technology DSP PC, MAC and workstation CAD tools DSP development tools The trend towards DSP integrated development tools

*Advanced Concepts Overview* Gradient algorithm Advanced spectral analysis techniques Weiner filters Modeling, prediction Compression application

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