... Computing for Real-time SignalProcessingand Control M.O Tokhi, M.A Hossain and M.H Shaheed Multivariable Control Systems P Albertos and A Sala Control Systems with Input and Output Constraints ... subsumed into the prevailing subject paradigm Sometimes these innovative concepts coalesce into a new sub-discipline within the broad subject tapestry of control andsignalprocessing This preliminary ... or industrial engineers Advanced Textbooks in Control andSignalProcessing are designed as a vehicle for the systematic presentation of course material for both popular and innovative topics in...
... Statistical SignalProcessing T Chonavel Discrete-time Stochastic Processes (2nd Edition) T Söderström Parallel Computing for Real-time SignalProcessingand Control M.O Tokhi, M.A Hossain and M.H ... Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.c Series Editors’ Foreword The topics of control engineering andsignalprocessing continue to flourish and develop In common with ... Sometimes these innovative concepts coalesce into a new sub-discipline within the broad subject tapestry of control andsignalprocessing This preliminary battle between old and new usually takes...
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... shown in Figure 3.4, with A = and T = in this case.) 28 Fourier Transforms in Radar andSignalProcessing ∞ ͐−∞ sinc (x − m ) sinc (x − n ) dx = ␦ mn Using the result in item above, if m = n the integral ... Rules and Pairs 15 lim sinc x = lim sinc x = x → +0 x → −0 by defining sinc (0) = 1, we ensure that the function is continuous and differentiable at this point Useful facts about the sinc function ... is important in this work, being the operation in the transform domain corresponding to multiplication in the original domain (and vice versa) This is followed by the rules relating to Fourier...
... interesting exercise in the use of the rules -and- pairs method, showing that the method gives a solution for the spectrum quite 39 40 Fourier Transforms in Radar andSignalProcessing easily and ... overlapping sinc functions These are shown as dotted lines in Figure 3.9(b), with the pulse spectrum as the solid line The 48 Fourier Transforms in Radar andSignalProcessing Figure 3.9 Raised cosine ... Figure 2B.1 Contour for integral Pulse Spectra 3.1 Introduction In this chapter we consider the spectra of pulses and pulse trains Signals used in radar, sonar, and radio and telephone communications...
... Transforms in Radar andSignalProcessing As a check, we note that if we used a single rounding function r , with transform R , the expression in (3.30) reduces to R( f ) ͩ sinc f ⌬Tr −2 if Tr sinc ... several sampling theorem results, which can be done very concisely in some cases In fact, the wideband (or baseband) sampling theorem and the Hilbert sampling theorem for narrowband (or RF and IF) ... Transforms in Radar andSignalProcessing by specifying that U should have no power outside a certain frequency interval, and that there should be no overlapping when U is repeated (In one case below,...
... Transforms in Radar andSignalProcessing above, in particular from the point of view of finding the minimum sampling rate needed to preserve all the signal information An alternative method of obtaining ... baseband waveform of finite bandwidth with spectrum in the band −F /2 to +F /2, corresponding to an RF or IF waveform of bandwidth F The minimum sampling rate to retain the information in the ... Transforms in Radar andSignalProcessing Figure 5.4 FIR filter weights for interpolation at minimum sampling rate sample at a lower rate, then the repeating spectra will overlap, and the resulting...
... weights with oversampling and trapezoidal rounded gate 103 104 Fourier Transforms in Radar andSignalProcessing Figure 5.13 Raised cosine rounding and ͭ ͫ g (t ) = qF sinc qFt sinc ( q − 1) Ft ⊗ ... Radar andSignalProcessing Figure 5.11 Trapezoidal rounding w r ( ) = [(r − ) T ′ ] = sinc x sinc (1 − ␣ ) y sinc ␣ y = (5.21) sin X sin Y sin Y XY 1Y where X = x , Y = ␣ y and Y = (1 ... Transforms in Radar andSignalProcessing Figure 5.14 Filter weights with oversampling and raised cosine rounded gate Interpolation for Delayed Waveform Time Series 107 Gate with raised cosine rounding...
... as shown in the figures in Section 5.2 The processing need not be in real time, of course, with the input and output pulses arriving and departing at the actual intervals specified The input data ... for radio and radar waveforms, and this is down-converted to complex baseband (often in more than one mixing process) and, we assume, digitized for processing, including equalization and detection ... weights that would provide interpolation for any band-limited signalIn principle, this filter will be infinitely long for perfect interpolation, so in practice a finite filter will always give...
... Fourier Transforms in Radar andSignalProcessing Figure 6.8 Sum beam frequency response; effect of bandwidth: (a) 10% bandwidth; and (b) 200% bandwidth Equalization 143 equalization, and the dotted ... Fourier Transforms in Radar andSignalProcessing compensation is required on each element Thus, excluding the factor f in (6.32) and also factors independent of frequency, we define the difference ... Fourier Transforms in Radar andSignalProcessing also useful for general results regarding the relationship between the weights and the patterns, as shown in Sections 7.2 and 7.3 In this chapter...
... If the patterns in u -space and angle space are g u and g , then the gain in direction is given by g ( ) = g u (sin ) 166 Fourier Transforms in Radar andSignalProcessing Figure 7.2 ... linear array, again of 16 elements, for both the unweighted case (rectangular aperture weighting, dotted line) and raised cosine weighting (solid line) 168 Fourier Transforms in Radar andSignal ... repetition interval in the u domain Then it is natural to choose I to be the interval [−U /2, U /2], which is equivalent to including the factor rect (u /U ) in the integrands in (7.34) In this...
... Fourier Transforms in Radar andSignalProcessing Rules and pairs method (continued) regular linear arrays and, 187 uses, Wiener-Khinchine relation and, 26–27 See also Pairs; Rules Sampling basic technique, ... shift and, 87–88 wideband phase shift and, 88 Impulse responses, 51 exponential, 52 rect, 52 smoothing, 53 Interpolating function, 95 as product of sinc functions, 99 in uniform sampling, 77 Interpolation ... by a relatively small factor in some cases) in reducing the amount of computation needed in the signalprocessing under consideration As computing speed is increasing all the time, it is sometimes...
... interesting exercise in the use of the rules -and- pairs method, showing that the method gives a solution for the spectrum quite 39 40 Fourier Transforms in Radar andSignalProcessing easily and ... overlapping sinc functions These are shown as dotted lines in Figure 3.9(b), with the pulse spectrum as the solid line The 48 Fourier Transforms in Radar andSignalProcessing Figure 3.9 Raised cosine ... Figure 2B.1 Contour for integral Pulse Spectra 3.1 Introduction In this chapter we consider the spectra of pulses and pulse trains Signals used in radar, sonar, and radio and telephone communications...
... Transforms in Radar andSignalProcessing As a check, we note that if we used a single rounding function r , with transform R , the expression in (3.30) reduces to R( f ) ͩ sinc f ⌬Tr −2 if Tr sinc ... several sampling theorem results, which can be done very concisely in some cases In fact, the wideband (or baseband) sampling theorem and the Hilbert sampling theorem for narrowband (or RF and IF) ... Transforms in Radar andSignalProcessing by specifying that U should have no power outside a certain frequency interval, and that there should be no overlapping when U is repeated (In one case below,...
... Transforms in Radar andSignalProcessing above, in particular from the point of view of finding the minimum sampling rate needed to preserve all the signal information An alternative method of obtaining ... baseband waveform of finite bandwidth with spectrum in the band −F /2 to +F /2, corresponding to an RF or IF waveform of bandwidth F The minimum sampling rate to retain the information in the ... Transforms in Radar andSignalProcessing Figure 5.4 FIR filter weights for interpolation at minimum sampling rate sample at a lower rate, then the repeating spectra will overlap, and the resulting...
... Fourier Transforms in Radar andSignalProcessing Figure 6.8 Sum beam frequency response; effect of bandwidth: (a) 10% bandwidth; and (b) 200% bandwidth Equalization 143 equalization, and the dotted ... Fourier Transforms in Radar andSignalProcessing compensation is required on each element Thus, excluding the factor f in (6.32) and also factors independent of frequency, we define the difference ... Fourier Transforms in Radar andSignalProcessing also useful for general results regarding the relationship between the weights and the patterns, as shown in Sections 7.2 and 7.3 In this chapter...
... If the patterns in u -space and angle space are g u and g , then the gain in direction is given by g ( ) = g u (sin ) 166 Fourier Transforms in Radar andSignalProcessing Figure 7.2 ... linear array, again of 16 elements, for both the unweighted case (rectangular aperture weighting, dotted line) and raised cosine weighting (solid line) 168 Fourier Transforms in Radar andSignal ... repetition interval in the u domain Then it is natural to choose I to be the interval [−U /2, U /2], which is equivalent to including the factor rect (u /U ) in the integrands in (7.34) In this...
... shown in Figure 3.4, with A = and T = in this case.) 28 Fourier Transforms in Radar andSignalProcessing ∞ ͐−∞ sinc (x − m ) sinc (x − n ) dx = ␦ mn Using the result in item above, if m = n the integral ... Rules and Pairs 15 lim sinc x = lim sinc x = x → +0 x → −0 by defining sinc (0) = 1, we ensure that the function is continuous and differentiable at this point Useful facts about the sinc function ... is important in this work, being the operation in the transform domain corresponding to multiplication in the original domain (and vice versa) This is followed by the rules relating to Fourier...
... interesting exercise in the use of the rules -and- pairs method, showing that the method gives a solution for the spectrum quite 39 40 Fourier Transforms in Radar andSignalProcessing easily and ... overlapping sinc functions These are shown as dotted lines in Figure 3.9(b), with the pulse spectrum as the solid line The 48 Fourier Transforms in Radar andSignalProcessing Figure 3.9 Raised cosine ... Figure 2B.1 Contour for integral Pulse Spectra 3.1 Introduction In this chapter we consider the spectra of pulses and pulse trains Signals used in radar, sonar, and radio and telephone communications...
... Transforms in Radar andSignalProcessing As a check, we note that if we used a single rounding function r , with transform R , the expression in (3.30) reduces to R( f ) ͩ sinc f ⌬Tr −2 if Tr sinc ... several sampling theorem results, which can be done very concisely in some cases In fact, the wideband (or baseband) sampling theorem and the Hilbert sampling theorem for narrowband (or RF and IF) ... Transforms in Radar andSignalProcessing by specifying that U should have no power outside a certain frequency interval, and that there should be no overlapping when U is repeated (In one case below,...