Download e-book for kindle: DSP for MATLAB and LabVIEW, Volume I: Fundamentals of by Forester W. Isen

By Forester W. Isen

This e-book is quantity I of the sequence DSP for MATLAB™ and LabVIEW™. the full sequence involves 4 volumes that jointly hide uncomplicated electronic sign processing in a realistic and available demeanour, yet which still comprise all crucial beginning arithmetic. because the sequence name implies, the scripts (of which there are greater than 2 hundred) defined within the textual content and provided in code shape (available at will run on either MATLAB and LabVIEW. quantity I includes 4 chapters. the 1st bankruptcy supplies a short evaluation of the sector of electronic sign processing. this is often through a bankruptcy detailing many beneficial signs and ideas, together with convolution, recursion, distinction equations, LTI structures, and so on. The 3rd bankruptcy covers conversion from the continual to discrete area and again (i.e., analog-to-digital and digital-to-analog conversion), aliasing, the Nyquist expense, normalized frequency, conversion from one pattern expense to a different, waveform iteration at numerous pattern premiums from kept wave facts, and Mu-law compression. The fourth and ultimate bankruptcy of the current quantity introduces the reader to many very important rules of sign processing, together with correlation, the correlation series, the true DFT, correlation by way of convolution, matched filtering, uncomplicated FIR filters, and easy IIR filters. bankruptcy four, particularly, offers an intuitive or "first precept" realizing of the way electronic filtering and frequency transforms paintings, getting ready the reader for Volumes II and III, which offer, respectively, designated assurance of discrete frequency transforms (including the Discrete Time Fourier remodel, the Discrete Fourier remodel, and the z-Transform) and electronic clear out layout (FIR layout utilizing Windowing, Frequency Sampling, and optimal Equiripple recommendations, and Classical IIR design). quantity IV, the fruits of the sequence, is an introductory therapy of LMS Adaptive Filtering and functions. The textual content for all volumes includes many examples, and lots of precious computational scripts, augmented by means of demonstration scripts and LabVIEW digital tools (VIs) that may be run to demonstrate a number of sign processing ideas graphically at the user's display screen. desk of Contents: an summary of DSP / Discrete signs and ideas / Sampling and Binary illustration / remodel and Filtering rules

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Read Online or Download DSP for MATLAB and LabVIEW, Volume I: Fundamentals of Discrete Signal Processing (Synthesis Lectures on Signal Processing) PDF

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Additional info for DSP for MATLAB and LabVIEW, Volume I: Fundamentals of Discrete Signal Processing (Synthesis Lectures on Signal Processing)

Example text

An arbitrary delay of Del samples can be inserted at the leading side of x1 [n] and x2 [n]. 5) Note that subplots (f ) and (h) show, respectively, ay1 [n] + by2 [n] and LT I (ax1 [n] + bx2 [n]) where the LT I operator in this case represents the system Eq. 5). 5. 18: (a) x1 [n]; (b) y1 [n]; (c) x2 [n]; (d) y2 [n]; (e) ax1 [n] (circles) and bx2 [n] (stars); (f ) ay1 [n] + by2 [n]; (g) ax1 [n] + bx2 [n]; (h) LT I (ax1 [n] + bx2 [n]). y[n] = 2x 2 [n] − x 2 [n − 1] + x 2 [n − 2] + 2x 2 [n − 3] The script LV xN LSabXSq(a, b, f 1, f 2, N, Del, N LCoeff ) (see exercises below) performs the superposition test on the (nonlinear) system y[n] = c[0]x 2 [n] + c[1]x 2 [n − 1] + c[2]x 2 [n − 2] + ...

8. 125] using the graphic visualization method. 24 illustrates the process. 625. 4 A FEW PROPERTIES OF CONVOLUTION Let’s use the symbol to represent convolution. Then we can compactly represent the convolution y[n] of two sequences h[n] and x[n] as y[n] = h[n] x[n] Convolution is linear, so y[n] = h[n] ax[n] = a(h[n] x[n]) where a is a constant. 5. 22: (a) First Sequence; (b) Second Sequence; (c) Second sequence time reversed (TR) and oriented to compute the first value of the convolution sequence (arrow shows direction the second sequence will slide, sample-by-sample, to perform convolution); (d) TR second sequence oriented to compute the second value of the convolution sequence; (e) TR second sequence oriented to compute the third value of the convolution sequence; (f ) TR second sequence oriented to compute the fourth value of the convolution sequence.

Compute the filter’s response to a linear chirp having frequencies varying linearly from 0 to 500 Hz.

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