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ECE 431 Digital Signal Processing Lecture Notes

ECE 431 Digital Signal ProcessingLecture NotesProf. Dan CobbContents1 Introduction22 Review of the DT Fourier De nition and Properties .. Periodic Convolution .. Fourier Series .. 93 time and Frequency Domain Analysis .. Aliasing .. The Nyquist Theorem .. Anti-Aliasing Filters .. Downsampling .. Upsampling .. Change of Sampling Frequency .. 204 CT Signal Hybrid Systems .. Ideal Signal Reconstruction .. The Zero-Order Hold .. A/D and D/A Converters .. Digital Filters .. 335 The Discrete Fourier De nition and Properties .. Circular Operations .. Fast Fourier Transform Algorithms .. Zero-Padding .. 416 Applications of the Spectral Analysis .. Linear Convolution .. Windowing .. 4517 The CT Laplace Transform .. The DT Laplace Transform and thez-Transform .. Properties .. 568 DT Systems and the LTI Systems .. Di erence Equations.

analysis of temporal signals makes heavy use of the Fourier transform in one time variable and one frequency variable. Spatial signals require two independent variables. Analysis of such signals relies on the Fourier transform in two frequency variables (e.g. ECE 533). In ECE 431, we will restrict ourselves to temporal signal processing. 2

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ECE 431 Digital Signal Processing Lecture Notes

cobb.ece.wisc.edu

Digital Signal Processing (DSP) is the application of a digital computer to modify an analog or digital signal. Typically, the signal beingprocessedis eithertemporal, spatial, orboth.

  Lecture, Notes, Processing, Signal, Digital, Digital signal processing, Digital signal, 431 digital signal processing lecture notes

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