TAILIEUCHUNG - Lecture Digital signal processing: Lecture 8 - Zheng-Hua Tan

Lecture 8 - FIR Filter Design include all of the following content: FIR filter design, commonly used windows, generalized linear-phase FIR filter, the Kaiser window filter design method. | Digital Signal Processing Fall 2006 Lecture 8 FIR Filter Design Zheng-Hua Tan Department of Electronic Systems Aalborg University Denmark zt@ 1 Digital Signal Processing VIII Zheng-Hua Tan 2006 AALBORG UNIVERSITY Course at a glance MM3 MM9 MM10 2 Digital Signal Processing VIII Zheng-Hua Tan 2006 1 FIR filter design h n Design problem the FIR system function H z 2 bkz - k k 0 bn 0 n M 0 otherwise Start from impulse response directly H z h 0 h 1 z-1 . h M z M Find the degree M and the filter coefficients h k to approximate a desired frequency response 3 Digital Signal Processing VIII Zheng-Hua Tan 2006 Part I FIR filter design FIR filter design Commonly used windows Generalized linear-phase FIR filter The Kaiser window filter design method 4 Digital Signal Processing VIII Zheng-Hua Tan 2006 2 Lowpass filter - as an example Ideal lowpass filter TT iax 1 a a Hlp e ln 0 rnc n sin an h n - OT n OT nn IIR filter based on transformations of continuous- time IIR system into discrete-time ones. 1 Hc jQ l 1 Q Q c 2 N poles Figure Dependence of Butterworth magnitude characteristics on the order N. FIR filter how h n is non-causal infinite . 5 Digital Signal Processing VIII Zheng-Hua Tan 2006 AALBORG UNIVERSITY Design by windowing Desired frequency responses are often piecewiseconstant with discontinuities at the boundaries between bands resulting in non-causal and infinte impulse response extending from - OT to 00 but n OT hd n 0 So the most straightforward method is to truncate the ideal response by windowing and do time- shifting g n hd .n n M 0 otherwise h n g n - M 6 Digital Signal Processing VIII Zheng-Hua Tan 2006 AALBORG UNIVERSITY

• Kĩ thuật Viễn thông
• Digital signal processing
• Digital signal
• Lecture Digital signal processing
• Discrete time signals
• FIR filter design
• Linear phase FIR filter
• 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
• System impulse response
• Fourier transforms
• Inverse z transform
• Properties of z transform
• Periodic sampling
• „Frequency domain representation
• System analysis
• Frequency response
• Filter design
• IIR filter design
• Fourier transform
• Fast fourier transform
• Decimation in time FFT algorithms
• Loop bound
• DSP programs