Discrete-Time Signal Processing (3rd Edition) (Prentice-Hall Signal Processing Series)

By Alan V. Oppenheim

For senior/graduate-level classes in Discrete-Time sign Processing.

Discrete-Time sign Processing, 3rd Edition is the definitive, authoritative textual content on DSP – perfect for people with introductory-level wisdom of signs and structures. Written by means of well-known DSP pioneers, it offers thorough remedy of the basic theorems and houses of discrete-time linear structures, filtering, sampling, and discrete-time Fourier research. by means of targeting the overall and common innovations in discrete-time sign processing, it continues to be important and correct to the hot demanding situations bobbing up within the field.

Access to the password-protected better half Website and myeBook is integrated with each one new reproduction of Discrete-Time sign Processing, 3rd Edition .

Show description

Quick preview of Discrete-Time Signal Processing (3rd Edition) (Prentice-Hall Signal Processing Series) PDF

Best Engineering books

Robot Mechanisms and Mechanical Devices Illustrated

This identify covers nearly every thing on the topic of cellular robots - destined to turn into the definitive paintings on robotic mechanisms. It discusses the manipulators, grippers, and mechanical sensors utilized in cellular robotics, and contains by no means ahead of compiled fabric on high-mobility suspension and drivetrains.

Commercial Aviation Safety

It is a new international in advertisement aviation safeguard. This fourth version of the most popular source within the box is carefully revised and up-to-date to serve the security wishes of business aviation within the usa. this article bargains the simplest advice on modern-day defense matters at the floor and within the air, alterations in structures and rules, new upkeep and flight applied sciences, and up to date injuries.

Perry's Chemical Engineers' Handbook, Eighth Edition

Get state of the art assurance of All Chemical Engineering themes― from basics to the newest computing device purposes. First released in 1934, Perry's Chemical Engineers' guide has built generations of engineers and chemists with a professional resource of chemical engineering details and information. Now up-to-date to mirror the newest know-how and strategies of the recent millennium, the 8th version of this vintage consultant offers unsurpassed assurance of each point of chemical engineering-from basic rules to chemical strategies and gear to new computing device functions.

Two-Stroke Engine Repair and Maintenance

Get top functionality from Two-Stroke EnginesDo you spend extra time attempting to begin your weed trimmer than you do having fun with your yard? With this how-to advisor, you could win the conflict with the temperamental two-stroke engine. Written by way of long-time mechanic and bestselling writer Paul Dempsey, Two-Stroke Engine fix & upkeep exhibits you ways to mend the engines that strength backyard gear, building instruments, transportable pumps, mopeds, turbines, trolling cars, and extra.

Additional resources for Discrete-Time Signal Processing (3rd Edition) (Prentice-Hall Signal Processing Series)

Show sample text content

6) k=−∞ Equation (4. 6) is the specified dating among the Fourier transforms of the enter and the output of the impulse educate modulator in determine four. 2(a). Equation (4. 6) states that the Fourier remodel of xs (t) involves periodically repeated copies of X c (j ), the Fourier remodel of xc (t). those copies are shifted through integer multiples of the sampling frequency, after which superimposed to provide the periodic Fourier rework of the impulse teach of samples. determine four. three depicts the frequency-domain illustration of impulse teach sampling. determine four. 3(a) represents a bandlimited Fourier remodel having the valuables that X c (j ) = zero for | | ≥ N . determine four. 3(b) exhibits the periodic impulse teach S(j ), and determine four. 3(c) indicates X s (j ), the results of convolving 1 . it really is glaring that once X c (j ) with S(j ) and scaling by way of 2π s − N ≥ N, or s ≥2 N, (4. 7) Section four. 2 Frequency-Domain illustration of Sampling 157 Xc (j⍀) 1 – ⍀N ⍀N ⍀ (a) S( j ⍀) 2␲ T –2⍀s – ⍀s ⍀s 2⍀s 3⍀s ⍀ ⍀N ⍀s (⍀s – ⍀N) 2⍀s 3⍀s ⍀ zero (b) Xs (j ⍀) 1 T –2⍀s – ⍀s – ⍀N (c) 1 T Xs (j ⍀) (⍀s – ⍀N) ⍀s 2⍀s ⍀ (d) determine four. three Frequency-domain illustration of sampling within the time area. (a) Spectrum of the unique sign. (b) Fourier rework of the sampling functionality. (c) Fourier rework of the sampled sign with s > 2 N . (d) Fourier rework of the sampled sign with s < 2 N . as in determine four. 3(c), the replicas of X c (j ) don't overlap, and consequently, after they are additional jointly in Eq. (4. 6), there is still (to inside of a scale issue of 1/T ) a reproduction of X c (j ) at every one integer a number of of s . for this reason, xc (t) might be recovered from xs (t) with an excellent lowpass filter. this can be depicted in determine four. 4(a), which exhibits the impulse educate modulator via an LTI procedure with frequency reaction H r (j ). For X c (j ) as in determine four. 4(b), X s (j ) will be as proven in determine four. 4(c), the place it's assumed that s > 2 N . in view that X r (j ) = H r (j )X s (j ), (4. eight) Chapter four 158 ͸ ϱ s (t) = n = –ϱ ϫ xc (t) Sampling of Continuous-Time signs ␦(t – nT ) Hr (j ⍀) xs (t) xr (t) (a) Xc (j ⍀) 1 ⍀N –⍀N ⍀ (b) Xs (j ⍀) 1 T – ⍀s – ⍀N ⍀s > 2⍀N ⍀N ⍀s ⍀ (⍀s – ⍀N) (c) Hr (j ⍀) ⍀N Յ ⍀c Յ (⍀s – ⍀N) T – ⍀c ⍀c ⍀ (d) Xr (j ⍀) 1 – ⍀N ⍀N determine four. four unique restoration of a continuous-time sign from its samples utilizing a fantastic lowpass filter. ⍀ (e) it follows that if H r (j ) is a perfect lowpass filter with achieve T and cutoff frequency such that N ≤ c ≤( s − N ), c (4. nine) then X r (j ) = X c (j ), (4. 10) as depicted in determine four. 4(e) and hence xr (t) = xc (t). If the inequality of Eq. (4. 7) doesn't carry, i. e. , if s < 2 N , the copies of X c (j ) overlap, in order that after they are additional jointly, X c (j ) isn't any longer recoverable by way of Section four. 2 Frequency-Domain illustration of Sampling 159 lowpass filtering. this can be illustrated in determine four. 3(d). subsequently, the reconstructed output xr (t) in determine four. 4(a) is expounded to the unique continuous-time enter via a distortion often called aliasing distortion, or, extra easily, aliasing.

Download PDF sample

Rated 4.77 of 5 – based on 20 votes