76 y lian ee3101 digital signal processing lecture notes jun 2010

... Trang 1Digital Signal Processing, VIII, Zheng-Hua Tan, 20061 Digital Signal Processing, Fall 2006 Zheng-Hua Tan Department of Electronic Systems Aalborg University, Denmark zt@kom.aau.dk Lecture ... e A e e A e Trang 10Digital Signal Processing, VIII, Zheng-Hua Tan, 200619 Types of GLP FIR filters 1 or , , 1 , 0 ], [ ] [ − = = = − ε n M h Type IV Type III Type II Type I M odd M even 1 ... = d Trang 11Digital Signal Processing, VIII, Zheng-Hua Tan, 200621 Linear-phase lowpass filter – an example Desired frequency response so apply a symmetric window Æ a linear-phase system ∞ <

Ngày tải lên: 11/02/2020, 16:15

... Trang 1Digital Signal Processing, III, Zheng-Hua Tan, 20061 Digital Signal Processing, Fall 2006 Zheng-Hua Tan Department of Electronic Systems Aalborg University, Denmark zt@kom.aau.dk Lecture ... boundary is a circle (may extend to infinity) „ Inner boundary is a circle (may extend to include the origin) „ If ROC includes unit circle, Fourier transform converges Trang 5Digital Signal Processing, ... Stability, causality and the ROC Part III: Inverse z-transform „ Inverse z-transform Trang 11Digital Signal Processing, III, Zheng-Hua Tan, 200621 Inverse z-transform „ Needed for system analysis:

Ngày tải lên: 11/02/2020, 16:30

... Trang 1Digital Signal Processing, IV, Zheng-Hua Tan, 20061 Digital Signal Processing, Fall 2006 Zheng-Hua Tan Department of Electronic Systems Aalborg University, Denmark zt@kom.aau.dk Lecture ... Trang 7Digital Signal Processing, IV, Zheng-Hua Tan, 200613 Nyquist sampling theorem Given bandlimited signal with Then is uniquely determined by its samples If is called Nyquist frequency is ... reconstruction MM5 System analysis System Trang 2Digital Signal Processing, IV, Zheng-Hua Tan, 20063 Part I: Periodic sampling „ Periodic sampling „ Reconstruction discrete-time processing Periodic

Ngày tải lên: 11/02/2020, 17:00

... Trang 1Digital Signal Processing, VI, Zheng-Hua Tan, 2006Fourier-domain representation System analysis MM1 MM2 MM6 Sampling and reconstruction MM5 System structure System Trang 2Digital Signal Processing, ... they may have dramatically different behaviour when the numerical precision is limited Digital Signal Processing, VI, Zheng-Hua Tan, 2006 40 Summary computational structures Trang 21Digital Signal ... v ] [n w Digital Signal Processing, VI, Zheng-Hua Tan, 2006 [ ][] [ ][] [] [ 1 0 0 1 n v k n y a n y k n x b n v k n x b k n y a n y N k k M k k M k k N k k [ ][][] N k k k n w b n y n x k

Ngày tải lên: 11/02/2020, 18:11

... 1Digital Signal Processing, II, Zheng-Hua Tan, 20061 Digital Signal Processing, Fall 2006 EStudy -Zheng-Hua Tan Department of Electronic Systems Aalborg University, Denmark zt@kom.aau.dk Lecture ... frequency response Course at a glance Discrete-time signals and systems Fourier-domain representation System structures Filter MM1 MM2 MM6 MM4 Sampling and System analysis System Trang 2Digital Signal ... = n n ] [n x ] [n ] [n y Trang 4Digital Signal Processing, II, Zheng-Hua Tan, 20067 Cascading systems „ Accumulator + Backward difference system Inverse system: ] [ ] [ system r Accumulato n u

Ngày tải lên: 12/02/2020, 12:39

... Trang 1Digital Signal Processing, VII, Zheng-Hua Tan, 2006Lecture 7: Filter Design Digital Signal Processing, VII, Zheng-Hua Tan, 2006 2 Course at a glance Discrete-time signals and systems Fourier-domain ... 10Digital Signal Processing, VII, Zheng-Hua Tan, 2006Trang 11Digital Signal Processing, VII, Zheng-Hua Tan, 200621 Elliptic filters „ Equiripple both in stopband and in the passband Digital Signal ... design by impulse invariance „ IIR filter design by bilinear transformation Filter design process Filter, in broader sense, covers any system Three design steps Trang 3Digital Signal Processing,

Ngày tải lên: 12/02/2020, 12:58

... Trang 1Digital Signal Processing, X, Zheng-Hua Tan, 2005 1Digital Signal Processing, Fall 2005 EStudy -Zheng-Hua Tan Department of Communication Technology Aalborg University, Denmark ... MM5 System structure System Trang 2Digital Signal Processing, X, Zheng-Hua Tan, 2005 3Digital computation of the DFT additions as a measure of computational complexity for the efficient and digital ... algorithms „ Decimation-in-frequency FFT algorithms Fourier analysis of signals using the DFT Trang 12Digital Signal Processing, X, Zheng-Hua Tan, 2005 23Fourier analysis of signals using the DFT Not

Ngày tải lên: 12/02/2020, 13:13

... ADC and DAC Physical signals Analog signals Digital signals Transducers e.g microphones Analog-to-digitalconverters Digital-to-AnalogconvertersOutput devices Trang 8Digital Signal Processing, I, ... „ Signal processing systems classification follows the same lines Trang 6Digital Signal Processing, I, Zheng-Hua Tan, 200611 Types of signals From http://www.ece.rochester.edu/courses/ECE446 Digital ... =+ additivity property scaling property ][][]} [{]} [{]} [] [ {ax1 n bx2 n aT x1 n aT x2 n ay1 n ay2 n Trang 18Digital Signal Processing, I, Zheng-Hua Tan, 200635 Time-invariant systems „ For

Ngày tải lên: 12/02/2020, 13:15

... Trang 1Digital Signal Processing, IX, Zheng-Hua Tan, 2006Fourier-domain representation DFT/FFT System analysis Trang 2Digital Signal Processing, IX, Zheng-Hua Tan, 20063 ... using the DFT Trang 21Digital Signal Processing, IX, Zheng-Hua Tan, 200641 Course at a glance Discrete-time signals and systems Fourier-domain representation DFT/FFT System analysis ... 0 1 0 , ] [ N k kn N W k X N n x N n kn N W n x k Trang 13Digital Signal Processing, IX, Zheng-Hua Tan, 2006Trang 14Digital Signal Processing, IX, Zheng-Hua Tan, 200627 Part V: Properties of

Ngày tải lên: 12/02/2020, 13:19

... 1Digital Signal Processing, V, Zheng-Hua Tan, 20061 Digital Signal Processing, Fall 2006 Zheng-Hua Tan Department of Electronic Systems Aalborg University, Denmark zt@kom.aau.dk Lecture 5: System ... analysis Course at a glance Discrete-time signals and systems Fourier-domain representation System analysis MM1 MM2 MM6 Sampling and reconstruction MM5 System structures System Trang 2Digital Signal ... filter is always noncausal! Trang 5Digital Signal Processing, V, Zheng-Hua Tan, 20069 Group delay signal approximation (though in reality maybe nonlinear) and the output is approximately ) cos( ]

Ngày tải lên: 12/02/2020, 13:27

... with an FIR systemTrang 17Overlap-add method for finding the response of an FIR filter using convolution.Taken from Digital Signal Processing, written by Oppenheim, and translated by H Date. Trang ... is Nlog2N Trang 12Find the convolution sum of y n y N n x n x N 0 2 1 2 1 )( )() ( bycalculated) (signaldiscrete point - 2 An : Result ) (and )(signalsdiscrete point - Two : Given Trang 13Find ... Trang 1Digital signal processing: Lecture 8Discrete Fourier Transformation –II Chapter 4: Fast Fourier Transformation Trang 2Topics of last lecture• DFTの線形性 • DFTの周期性 •

Ngày tải lên: 17/08/2020, 08:38

... discrete-time systems: a) y(n)=nx(n) b) y(n)=x(n2) c) y(n)=x2(n) d) y(n)=Ax(n)+B Digital Signal Processing 10 Discrete-Time Systems Homework Digital Signal Processing 35 Discrete-Time Systems Homework Digital ... 1) 3) y(n) = x(n – 1) + 2y(n – 1) 4) y(n) = x(n – 1) + y(n – 1)/2 5) y(n) = y(n – 1) – y(n – 2) 6) y(n) = x(n – 1) – y(n – 2) 7) y(n) = x(n – 2) – y(n – 2) 8) y(n) = x(n – 2) – y(n – 1) 9) y(n) ... x(2 – n) 4) y(n) = x2(n) 5) y(n) = x(n2) 6) y(n) = x(2n) 7) y(n) = x(2n + 1) 8) y(n) = nx(n) 9) y(n) = x(2|n|) 10) y(n) = 2x(n) 11) y(n) = 2nx(n) 12) y(n) = 2-nx(n) Digital Signal Processing 42

Ngày tải lên: 11/02/2020, 17:02

... Trang 19Digital Signal Processing Dither Trang 20Digital Signal Processing Uniform and non-uniform quantization Trang 21Digital Signal Processing Mid-riser and mid-tread quantization Trang 22Digital ... unipolar signal, xQ є [0, R); for bipolar xQ є [-R/2, R/2) Trang 8Digital Signal Processing Trang 9Digital Signal Processing 2 DACs  Unipolar natural binary where m is the integer whose binary representation ... 3Digital Signal Processing Trang 4Digital Signal Processing  Quantization by truncation: replace each value x(nT) by its below nearest quantization level Trang 5Digital Signal Processing 1 Quantization

Ngày tải lên: 11/02/2020, 18:41

... to any industry standard, or are suitable for any application The author, publisher, and distributors disclaim all liability and responsibility to any person or entity with respect to any loss ... technical world is changing very rapidly In only 15 years, the power of personal computers has increased by a factor of nearly one-thousand By all accounts, it will increase by another factor of one-thousand ... Engineer's Guide to Digital Signal Processing Second Edition by Steven W Smith California Technical Publishing San Diego, California The Scientist and Engineer's Guide to Digital Signal Processing Second...

Ngày tải lên: 13/09/2012, 10:21

... computational power, they were heavily used by the oil industry for geologic signal processing and by the telecommunications industry for speech processing The theory of digital filters matured, ... INTRODUCTION TO DIGITAL SIGNAL PROCESSING AND FILTER DESIGN INTRODUCTION TO DIGITAL SIGNAL PROCESSING AND FILTER DESIGN B A Shenoi A JOHN WILEY & SONS, INC., PUBLICATION Copyright © 2006 by John Wiley & ... technology, the theory and applications of digital signal processing has explosively advanced in the last few decades The two revolutionary results that have formed the foundations of digital signal processing...

Ngày tải lên: 13/09/2012, 10:21

... Unitary vs nonunitary systems — A unitary filter bank has the same analysis and synthesis filters (except for a reversal of the unit sample responses in the synthesis filters with respect to the analysis ... information necessary in the decoder to identify the correct entropy decoder and the gain by using more entropy coders Depending on the bit-rate, the number of entropy coders is typically to In the presented ... density of the input signal In both subband coding and differential coding, the complexity of the systems must approach infinity to reach the coding gain limit To be able to apply bit allocation dynamically...

Ngày tải lên: 17/10/2013, 11:15

... 2)} = E{[2r cos(θ )y( n − 2) − r y( n − 3) + x(n − 1) ]y( n − 2)} = 2r cos(θ)E {y (n − 2)} − r E {y( n − 2 )y( n − 3)} = 2r cos(θ)E {y (n − 2)} − r E {y( n − 1 )y( n − 2)} 2r cos(θ) σ = + r2 y so 2 E{e2 (n)} ... Qr − =− R 8 79 49 = Qr = R − 64 64 y( 0) = Qr y( 2) = Qr y( 3) 1999 by CRC Press LLC Qr R − y( 1) c = = Qr (3.73) y( 4) = Qr R y( 5) = Qr R y( 6) = Qr R y( 7) = Qr R y( 8) = Qr R 77 51 = Qr − =− 64 64 ... conditions (y( −1) = y( −2) = 0), and an input sequence x(n) = δ(n), where δ(n) is the unit impulse or unit sample The following sequence is obtained; y( 0) = y( 1) = Qr y( 2) = Qr Qr y( 3) = Qr y( 4) = Qr y( 5)...

Ngày tải lên: 17/10/2013, 11:15

... Property provides the basis for many signal processing algorithms because many systems can be specified directly by their impulse or frequency response Property is particularly useful in analyzing ... particularly useful c 1999 by CRC Press LLC as a basis for digital signal processing (DSP) because it extends the theory of classical Fourier analysis to DT signals and leads to many effective ... Dorward, and Schuyler R Quackenbush Sony Systems Kenzo Akagiri, M.Katakura, H Yamauchi, E Saito, M Kohut, Masayuki Nishiguchi, and K Tsutsui PART X 44 Time Frequency and Multirate Signal Processing...

Ngày tải lên: 17/10/2013, 12:15

... DIGITAL SIGNAL PROCESSING Reproducibility The performance of a DSP system can be repeated precisely from one unit to another This is because the signal processing of DSP systems work directly ... computer memory for later use, or it may be displayed graphically In other applications, the DSP system may be required to generate signals digitally, such as speech synthesis used for cellular phones ... convert the digital signal y n† back to the analog signal y t† before it is passed to an appropriate device This process is called the digital- to-analog (D/A) conversion, typically performed by a D/A...

Ngày tải lên: 17/10/2013, 14:15

... display only if the eye is stationary with respect to this display Particularly with the eye tracking objects moving on the screen, this assumption is no longer valid For a tracking observer very ... Actually the picture update frequency may be even as low as 16 Hz, to guarantee smooth perceived motion (see, e.g., [3]) The higher display rates are merely necessary to prevent the annoying large ... vectors only In the PPC algorithm a two-level hierarchy is proposed In the first hierarchical level, on fairly large blocks (typically 64 by 64), a limited number of candidate vectors, usually less...

Ngày tải lên: 19/10/2013, 18:15