DSP for MATLAB and LabVIEW, Volume I: Fundamentals of by Forester W. Isen
By Forester W. Isen
This publication is quantity I of the sequence DSP for MATLAB™ and LabVIEW™. the total sequence includes 4 volumes that jointly conceal simple electronic sign processing in a realistic and obtainable demeanour, yet which still contain all crucial origin arithmetic. because the sequence name implies, the scripts (of which there are greater than two hundred) defined within the textual content and provided in code shape (available at www.morganclaypool.com/page/isen) will run on either MATLAB and LabVIEW. quantity I includes 4 chapters. the 1st bankruptcy provides a quick evaluation of the sector of electronic sign processing. this is often by means of 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 price, normalized frequency, conversion from one pattern expense to a different, waveform iteration at quite a few pattern charges from saved wave info, and Mu-law compression. The fourth and ultimate bankruptcy of the current quantity introduces the reader to many vital ideas 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 supply, respectively, distinct insurance of discrete frequency transforms (including the Discrete Time Fourier remodel, the Discrete Fourier rework, and the z-Transform) and electronic clear out layout (FIR layout utilizing Windowing, Frequency Sampling, and optimal Equiripple suggestions, and Classical IIR design). quantity IV, the end result of the sequence, is an introductory remedy of LMS Adaptive Filtering and functions. The textual content for all volumes comprises many examples, and plenty of helpful computational scripts, augmented by way of demonstration scripts and LabVIEW digital tools (VIs) that may be run to demonstrate a variety of sign processing suggestions graphically at the user's monitor. desk of Contents: an outline of DSP / Discrete signs and ideas / Sampling and Binary illustration / remodel and Filtering ideas
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Extra info for DSP for MATLAB and LabVIEW, Volume I: Fundamentals of Discrete Signal Processing (Synthesis Lectures on Signal Processing)
Each convolution output sample is computed by multiplying all overlapping samples and adding the products. 23 show the two (equivalent) graphic orientations to compute the convolution sequence of two sequences. In Fig. ˆ[0:1:9]], and in Fig. 23, the roles are reversed. , either sequence may be time reversed and moved through the other from left to right with the same computational result. 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.
5: A graph of the function y[n] = 3[n − 2] − 2[n + 3] for sample indices -5 to +5. function LVPlotUnitStepSeq(n,Nlow,Nhigh) xIndices = [Nlow:1:Nhigh]; yVals(1:1:length(xIndices)) = 0; posZInd = ﬁnd((xIndices-n)==0) yVals(posZInd:1:length(xIndices)) = 1; stem(xIndices,yVals) An example MathScript call is LVPlotUnitStepSeq(-2,-10,10) A version of the script that returns the output sequence and its indices without plotting is [yV als, xI ndices] = LV U nitStepSeq(n, N low, N high) This version is useful for generating composite unit step sequences.
Since the time of transmission of any frequency in the chirp is known, and the frequency and time received are known for any reﬂection, the difference in time between the transmission and reception times is directly available. Since the velocity of the transmitted wave is known, the distance between the transmitter/receiver and the point of reﬂection on the target object can be readily determined. MathScript’s chirp function, in its simplest form, is y = chirp(t, f 0, t1, f 1) where t is a discrete time vector, f 0 and f 1 are the start and end frequencies, respectively, and t1 is the time at which frequency f 1 occurs.