TAILIEUCHUNG - Lecture Digital signal processing: Lecture 2 - Zheng-Hua Tan

In this lecture you will learn: System impulse response, linear constant-coefficient difference equations, fourier transforms and frequency response. Inviting you refer. | Digital Signal Processing Fall 2006 - E-Study - Lecture 2 Fourier transforms and frequency response Zheng-Hua Tan Department of Electronic Systems Aalborg University Denmark zt@ 1 Digital Signal Processing II Zheng-Hua Tan 2006 Course at a glance MM7 MM3 MM9 MM10 2 Digital Signal Processing II Zheng-Hua Tan 2006 MM8 1 Part I System impulse response System impulse response Linear constant-coefficient difference equations Fourier transforms and frequency response 3 Digital Signal Processing II Zheng-Hua Tan 2006 AALBORG UNIVERSITY FIR systems reflected in the h n Ideal delay y n x n -nd -OT n X J h n 5 n - nd nd a positive integer. Forward difference d y n x n 1 - x n I 0 h n 0 n 1 - 0 n -1 1 Backward difference y n x n - x n -1 h n ố n - 5 n -1 0-p Finite-duration impulse response FIR system The impulse response has only a finite number of nonzero samples. 4 Digital Signal Processing II Zheng-Hua Tan 2006 AALBORG UNIVERSITY 2 IIR systems - reflected in the h n Accumulator y n Ỹx k k -J 1______ 5 h n x k u n 0 k -j Infinite-duration impulse response IIR system The impulse response is infinitive in duration. Stability S 2J -j h n J FIR systems always are stable if each of h n values is finite in magnitude. IIR systems can be stable . h n anu n with a 1 S EJ a n 1 1- a J .A 5 Digital Signal Processing II Zheng-Hua Tan 2006 AALBORG UNIVERSITY Cascading systems Causality h n 0 n 0 Ideal delay h n ỗ n - nd x n Forward difference One - sameple delay h n ổ n 1 -ổ n h n ổ n -1 y n x n Backward difference h n 5 n -3 n -1 y n Any noncausal FIR system can be made cause by cascading it with a sufficiently long delay 6 Digital Signal Processing II Zheng-Hua Tan 2006

• Kĩ thuật Viễn thông
• Digital signal processing
• Digital signal
• Lecture Digital signal processing
• Discrete time signals
• System impulse response
• Fourier transforms
• Xử lý tín hiệu số
• Signal processing
• DSP applications
• Digital Signal Processing Research Program
• Avanced Telecommunications and Signal Processing Program
• Signal Processing Program
• Combined Source
• Block processing methods
• Sample processing methods
• VLSI Digital signal processing systems
• DSP systems
• FIR Digital Filters
• Parallel processing
• Digital signal processing: Principles Algorithms and Applications
• Fast fourier transform algorithms
• Discrete time systems
• Design of digital filters
• Multirate digital signal processing
• Lecture Signal processing
• Xử lý tín hiệu
• Mixed signals processing
• Applications of digital signal processing
• Block diagram representation
• Signal flow graph description
• Quantization process
• Digital to analog converters
• Transfer functions
• Digital filter realization
• Discrete time signal
• Ultrasound signal processing
• Hardware software partitioning
• Digital signal processing systems
• Ultrasound devices
• Sampling theorem
• Analog reconstruction
• The z transform
• Properties of the z transform
• Discrete time fourier transform
• Discrete fourier transform
• Types of signals
• Inverse z transform
• Properties of z transform
• Periodic sampling
• „Frequency domain representation
• System analysis
• Frequency response
• Filter design
• IIR filter design
• FIR filter design
• Linear phase FIR filter
• Fourier transform
• Fast fourier transform
• Decimation in time FFT algorithms
• Loop bound
• DSP programs