DISCRETE SIGNAL ANALYSIS AND DESIGN

... DISCRETE-SIGNAL ANALYSIS AND DESIGN WILLIAM E SABIN A JOHN WILEY & SONS, INC., PUBLICATION DISCRETE-SIGNAL ANALYSIS AND DESIGN 

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... Paul and James; our daughter, Janet; and all of our grandchildren CONTENTS Preface xi Introduction Goals of the Book Discrete Signals Advantages of Discrete-Signal Analysis and Design DFT and ... Sabin, William E Discrete-signal analysis and design / By William E Sabin p cm ISBN 978-0-470-18777-7 (cloth/cd) Signal processing—Digital techniques Discrete-time systems System a...

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... 2 DISCRETE-SIGNAL ANALYSIS AND DESIGN In this book, we will get a better understanding of discrete-time and discrete-frequency signal processing, which ... this?” It can be random or pseudorandom data that we want to analyze or process The data can be in time domain or frequency domain, and we can easily move the data and the results back and forth between ... and frequency co...

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... sequence and to be highly separated from Discrete-Signal Analysis and Design, By William E Sabin Copyright  2008 John Wiley & Sons, Inc 10 DISCRETE-SIGNAL ANALYSIS AND DESIGN adjacent sequences The ... between “frequency” and “time” b Spectral leakage and aliasing c Smoothing and windowing operations in time and frequency d Time and frequency scaling operations e Powe...

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... 12 DISCRETE-SIGNAL ANALYSIS AND DESIGN identiÞed in both time and amplitude If the sequence is nonrepeating (random), or if it is inÞnite in length, or ... 1-1d are negative frequencies The value at 14 DISCRETE-SIGNAL ANALYSIS AND DESIGN k = is the dc component, k = ± is the ± fundamental frequency, and other ± k values are ± harmonics of the k ... location, N /2, is labeled b...

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... n = ej 2π (N−k) N (1-6) 360◦ and Eq (1-2) becomes ⎡ N/2−1 n ⎣ x(n)e−j k2π N + X(k) = N n=0 ⎤ N −1 x(n)e n=N/2 n j 2π(N −k) N ⎦ (1-7) 18 DISCRETE-SIGNAL ANALYSIS AND DESIGN The second exponential ... attention on Eqs (1-2) and (1-8) and to observe that in both cases we are simultaneously in the time and frequency domains We must have data from both domains to travel back and fo...

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... 22 DISCRETE-SIGNAL ANALYSIS AND DESIGN positive-frequency phasors and N /2 negative-frequency phasors, the frequency resolution improves ... may speak in this manner of the phase and frequency of an x (n) time sequence, but we must avoid confusion on this issue In 24 DISCRETE-SIGNAL ANALYSIS AND DESIGN this book, each x (n) in the ... important to keep in mind the concepts of...

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... reliable and can lead to false conclusions (a common problem) Also, the average power Discrete-Signal Analysis and Design, By William E Sabin Copyright  2008 John Wiley & Sons, Inc 27 28 DISCRETE-SIGNAL ... 30 DISCRETE-SIGNAL ANALYSIS AND DESIGN There are two types of phasor X (k ) sequences: those that have even symmetry about N /2 and those that have odd symmetry about N...

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... 32 DISCRETE-SIGNAL ANALYSIS AND DESIGN In Fig 2-3 the (n) step size 0.1 from to N − provides smooth curves in the real and imaginary x (n) graphs Figure 2-3 ... at k = and 14, amplitude 2.5 + 2.5 = + 5.0 (see Fig 2-2a) • The − j cosine spectrum at k = and 10, amplitude − − = − (see Fig 2-2f) • The phase at k = and 14 ( = 0◦ ) • The phase at k = and 10 ... advance 16 SINE, COSI...

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... (optional) We see that frequencies f and f have disappeared from the output, the sum and difference of f and f are prominent and the second harmonics of f and f are strong also Higher-order IMD ... detail, using the correct dc and RCL components and accurate slightly nonlinear device models Example 2-2: Analysis of the Ramp Function This chapter concludes with an analysis of...

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... example with k = 15.0, and the discrete spectrum Discrete-Signal Analysis and Design, By William E Sabin Copyright  2008 John Wiley & Sons, Inc 43 44 DISCRETE-SIGNAL ANALYSIS AND DESIGN 10−3 −50 ... Spectral Leakage and Aliasing SPECTRAL LEAKAGE The topics in the title of this chapter are concerned with major difÞculties that are encountered in discrete signal waveform analy...

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... example, similar to Fig 2-1, of a common problem that occurs in sequence analysis Figure 3-1e shows a 48 DISCRETE-SIGNAL ANALYSIS AND DESIGN sine wave with an added dc bias The DFT (see Fig 3-1f) shows ... values of (n) and (k ) This can often be arranged using the scaling methods for time and frequency described in Chapter For example, let each (k ) represent a smaller signal fre...

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... dBm (1.0 mW) in a 1.0-Hz band, which is 10.0 W in the 10-kHz passband The scanning instrument has a noise bandwidth of 300 Hz, so the passband noise power in that bandwidth is watts in 300 Hz ... frequency conversion can also be, and very often is, upward from baseband to 45, etc in a transmitter, and gain distribution is important there also SPECTRAL LEAKAGE AND ALIASING 53 The level...

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... frequency range and to eliminate spurious system responses that can invalidate the results 58 DISCRETE-SIGNAL ANALYSIS AND DESIGN Ppb := 10000 300 10000 × 001df watts in 300 Hz pass band Ppb = 0.3 ... zone in 300 Hz band 3000 Pazone := 2.345 × 10−6 10 × log 001 = −44 dB for sum of both out-of-band regions Ppb × 300 Poutb watts in alias zone in 300 Hz band = −51.1 dB below passband Ca...

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... 10 log 49 56 i=8 Y3 (i) − Y8 (i) Y8 (i) dB (4-1) 64 DISCRETE-SIGNAL ANALYSIS AND DESIGN The result is the ratio, in dB, between a three-sweep and an eight-sweep record Another sequence that was ... operation on a discrete signal waveform: (a) without added random noise; (b) with added random noise at each end that are known as guardbands that greatly reduce spillover (aliasing, Chapte...

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