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Lecture 6 - System structures for implementation presents the following content: Block diagram representation of computational structures, signal flow graph description, basic structures for IIR systems, transposed forms, basic structures for FIR systems. | Digital Signal Processing Fall 2006 Lecture 6 System structures for implementation Zheng-Hua Tan Department of Electronic Systems Aalborg University Denmark zt@kom.aau.dk 1 Digital Signal Processing VI Zheng-Hua Tan 2006 UNIVI-RSI I Y Course at a glance MM3 MM9 MM10 2 Digital Signal Processing VI Zheng-Hua Tan 2006 1 System implementation LTI systems with rational system function e.g. H z b 0 bZ z l l 1 - az Impulse response h n b0 anu n b1a 1u n -1 Linear constant-coefficient difference equation y n - ay n -1 b0x n b1 x n -1 Three equivalent representations How to implement i.e. convert to an algorithm or structure 3 Digital Signal Processing VI Zheng-Hua Tan 2006 AALBORG UNIVERSITY System implementation The input-output transformation x n y n can be computed in different ways - each way is called an implementation An implementation is a specific description of its internal computational structure The choice of an implementation concerns with computational requirements memory requirements effects of finite-precision and so on 4 Digital Signal Processing VI Zheng-Hua Tan 2006 AALBORG UNIVERSITY 2 Part I Block diagram representation Block diagram representation of computational structures Signal flow graph description Basic structures for IIR systems Transposed forms Basic structures for FIR systems 5 Digital Signal Processing VI Zheng-Hua Tan 2006 AALBORG UNIVERSITY System implementation Impulse response h n b0 anu n b1an-1u n -1 y n x n h n is infinite-duration impossible to implement in this way. However linear constant-coefficient difference equation provides a means for recursive computation of the output y n - ay n -1 b0x n b1 x n -1 y n ay n -1 b0x n b1 x n -1 6 Digital Signal Processing VI Zheng-Hua Tan 2006 AALBORG UNIVERSITY