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Research Doctorate - Doctor of Philosophy (PhD) / This thesis studies control systems with communication constraints. Such constraints arise due to the fact that practical control systems often use non-transparent communication links, i.e., links subject to data-rate constraints, random data-dropouts or random delays. Traditional control theory cannot deal with such constraints and the need for new tools and insights arises. We study two problems: control with average data-rate constraints and control over analog erasure channels with i.i.d. dropout profiles. When focusing on average data-rate constraints, it is natural to ask whether information theoretic ideas may assist the study of networked control systems. In this thesis we show that it is possible to use fundamental information theoretic concepts to arrive at a framework that allows one to tackle performance related control problems. In doing so, we show that there exists an exact link between control systems subject to average data-rate limits, and control systems which are closed over additive i.i.d. noise channels subject to a signal-to-noise ratio constraint. On the other hand, in the case of control systems subject to i.i.d. data-dropouts, we show that there exists a second-order moments equivalence between a linear feedback system which is interconnected over an analog erasure channel, and the same system when it is interconnected over an additive i.i.d. noise channel subject to a signal-to-noise ratio constraint. From the results foreshadowed above, it follows that the study of control systems closed over signal-to-noise ratio constrained additive i.i.d. noise channels is a task of relevance to many networked control problems. Moreover, the interplay between signal-to-noise ratio constraints and control objectives is an interesting issue in its own right. This thesis starts with such a study. Then, we use the resultant insights to address performance issues in control systems subject to either average data-rate constraints or i.i.d. data-dropouts. Our approach shows that, once key equivalences are exposed, standard control intuition and synthesis machinery can be used to tackle networked control problems in an exact manner. It also sheds light into fundamental results in the literature and gives (partial) answers to several previously open questions. We believe that the insights in this thesis are of fundamental importance and, to the best of the author's knowledge, novel.

Much of the current research in magnetic resonance engineering focuses on reducing the acquisition time for obtaining an image while simultaneously maximizing the Signal to Noise ratio (SNR) of the image. It is known that improvement in imaging time or resolution is obtained at the cost of SNR. Therefore wherever possible, RF coil engineers design the coil in such a manner so as to maximize SNR for that coil design. In one such design consideration, most coil designers prefer placing low impedance preamplifiers near the coil. The further the pre-amplifiers are from the coil, the greater will be the signal loss due to transmission and higher will be its input impedance as perceived at the coil which would degrade inter-coil isolation. Owing to the current trend of using increasing number of receiver channels (32, 64 or 128) for parallel imaging, placing the preamplifiers near the coil would greatly complicate the coil construction. The primary objective of this research was to find the relation between SNR and referred preamp impedance and whether preamps need to be placed on the coil, or if they can be placed outside the magnet at the end of a transmission line which would simplify the construction of large count array. In addition, SNR was studied as a function of coil design parameters - coil loading, array coil separation, and system frequency. Both theoretical and experimental methods were used to undertake this investigation. A popular electromagnetic modeling technique, finite difference time domain (FDTD), was used to model SNR in arrays of two 3 inch loop coils at 3T and 1.5T. Results were also verified through bench measurement at 3T and 1.5T and by evaluating SNR. To verify the robustness of our results and to assess the possibility of using low cost standard 50 ohm preamps, we carried out additional bench measurements at 4.7T. Results demonstrated that preamplifier placement is critical at low field strength. At higher field strength, SNR degradation due to preamplifier placement was less owing to heavier coil loading.

Obtaining higher depth of imaging is an important goal in Optical Coherence Tomography (OCT) systems. One of the main factors that affect the depth of OCT imaging is the presence of noise. That’s why the study of noise statistics is an important problem. In the first part of this thesis we obtain an empirical estimate of the second order statistics of noise by using a sequence of Time domain (TD) OCT images. These estimates confirm the non-stationary nature of noise in TD-OCT. In the second part of the thesis these estimates are used to design a depth-dependent matched filter to maximize the Signal-to-Noise Ratio (SNR) and increase the Contrast-to-Noise Ratio (CNR) in TD-OCT. By applying our filter to TD-OCT images of both vascular rabbit tissue and a human tooth, both SNR and CNR were increased and a higher imaging depth was achieved.

Obtaining higher depth of imaging is an important goal in Optical Coherence Tomography (OCT) systems. One of the main factors that affect the depth of OCT imaging is the presence of noise. That’s why the study of noise statistics is an important problem. In the first part of this thesis we obtain an empirical estimate of the second order statistics of noise by using a sequence of Time domain (TD) OCT images. These estimates confirm the non-stationary nature of noise in TD-OCT. In the second part of the thesis these estimates are used to design a depth-dependent matched filter to maximize the Signal-to-Noise Ratio (SNR) and increase the Contrast-to-Noise Ratio (CNR) in TD-OCT. By applying our filter to TD-OCT images of both vascular rabbit tissue and a human tooth, both SNR and CNR were increased and a higher imaging depth was achieved.

Research Doctorate - Doctor of Philosophy (PhD) / This thesis studies control systems with communication constraints. Such constraints arise due to the fact that practical control systems often use non-transparent communication links, i.e., links subject to data-rate constraints, random data-dropouts or random delays. Traditional control theory cannot deal with such constraints and the need for new tools and insights arises. We study two problems: control with average data-rate constraints and control over analog erasure channels with i.i.d. dropout profiles. When focusing on average data-rate constraints, it is natural to ask whether information theoretic ideas may assist the study of networked control systems. In this thesis we show that it is possible to use fundamental information theoretic concepts to arrive at a framework that allows one to tackle performance related control problems. In doing so, we show that there exists an exact link between control systems subject to average data-rate limits, and control systems which are closed over additive i.i.d. noise channels subject to a signal-to-noise ratio constraint. On the other hand, in the case of control systems subject to i.i.d. data-dropouts, we show that there exists a second-order moments equivalence between a linear feedback system which is interconnected over an analog erasure channel, and the same system when it is interconnected over an additive i.i.d. noise channel subject to a signal-to-noise ratio constraint. From the results foreshadowed above, it follows that the study of control systems closed over signal-to-noise ratio constrained additive i.i.d. noise channels is a task of relevance to many networked control problems. Moreover, the interplay between signal-to-noise ratio constraints and control objectives is an interesting issue in its own right. This thesis starts with such a study. Then, we use the resultant insights to address performance issues in control systems subject to either average data-rate constraints or i.i.d. data-dropouts. Our approach shows that, once key equivalences are exposed, standard control intuition and synthesis machinery can be used to tackle networked control problems in an exact manner. It also sheds light into fundamental results in the literature and gives (partial) answers to several previously open questions. We believe that the insights in this thesis are of fundamental importance and, to the best of the author's knowledge, novel.

In system identification, different methods are often classified as parametric or non-parametric methods. For parametric methods, a parametric model of a system is considered and the model parameters are estimated. For non-parametric methods, no parametric model is used and the result of the identification is given as a curve or a function. One of the non-parametric methods is the impulse response analysis. This approach is dynamic simulation. This thesis introduces a new paradigm for dynamic simulation, called impulse-based simulation. This approach is based on choosing a Dirac function as input, and as a result, the output will be equal to the impulse response. However, a Dirac function cannot be realized in practice, and an approximation has to be used. As a consequence, the output will deviate from the impulse response. Once the impulse response is estimated, a parametric model can be fitted to the estimation. This thesis aims to determine the parameters in a parametric model from an estimated impulse response. The process of investigating the models is a critical aspect of the project. Correlation analysis is used to obtain the weighting function from the estimates of covariance functions. Later, a relation formed between the parameters and the estimates (obtained by correlation analysis) in the form of a linear system of equations. Furthermore, simulations are carried out using Monte Carlo for investigating the properties of the two step approach, which involves in correlation analysis to find h-parameters and least squares and total least squares methods to solve for the parameters of the model. In order to evaluate the complete capability of the approach to the noise variation a study of signal to noise ratio and mean, mean square error and variances of the estimated parameters is carried out. The results of the Monte Carlo study indicate that two-step approach can give rather accurate parameter estimates. In addition, the least squares and total least squares methods give similar results.

International Telemetering Conference Proceedings / October 25-28, 1993 / Riviera Hotel and Convention Center, Las Vegas, Nevada / System performance can be ascertained via a number of parameters; one of which is Signal-to-Noise ratio (SNR). SNR is the ratio of the value of the signal to the value of the noise. It is generally expressed in decibels and usually a function of the system bandwidth. Another measure of performance is the Noise-Power ratio (NPR). NPR is the ratio of the noise level within a specific measurement channel when noise is applied to all channels, to the level that is measured within the specific channel with noise applied to all of the channels but not the specific channel.

Artefakter försvårar analys av långtids-elektrokardiografi-registrering (LTER) och resulterar i en försämrad diagnostisk säkerhet. Minimering av mängden artefakter spelar således en väsentlig roll för ställandet av rätt diagnos. Syftet med denna studie var att jämföra om mängden artefakter, som uppkom vid 24-timmars LTER på patienter, skiljde sig åt med och utan fixering av elektroderna. Populationen bestod av trettio patienter som var inbokade för 24-timmars LTER vid Länssjukhuset Ryhov i Jönköping. Patienterna delades in i två grupper med femton patienter i varje grupp. På grund av fyra externa bortfall bestod det slutgiltiga urvalet av tretton studiedeltagare i vardera gruppen. I grupp A användes ett tubnät för att hålla kablarna på plats och i grupp B fixerades varje elektrod och kabel med Mefix. Grupperna jämfördes sedan avseende mängden artefakter som uppkom under registreringsperioden.  För att analysera om det förelåg någon signifikant skillnad i artefaktuppkomst mellan grupperna användes Wilcoxons rangsummetest. Rangsummorna för respektive grupp beräknades och jämfördes med ett kritiskt intervallvärde. Rangsummorna låg inom intervallet för det kritiska värdet, varpå nollhypotesen ej kan förkastas. Följaktligen förelåg ingen signifikant skillnad i mängden uppkomna artefakter mellan grupperna. På grund av ett litet urval samt brister i undersökningsförfarandet kunde dock inga grundade statistiska slutsatser konkluderas. / Artefacts complicate the analysis of long-term electrocardiography-registration (LTER) and result in a worsened diagnostic accuracy. Thus, minimization of the amount of artefacts plays a vital role in the making of a correct diagnosis. The aim of this study was to compare if the amount of artefacts that occurred during 24-hour LTER on patients, differed with and without electrode fixation.  Thirty patients who underwent a 24-hour LTER, at Länssjukhuset Ryhov in Jönköping, were included in the study and divided into two groups. In group A; a tubular net bandage was used to keep the electrocardiography (ECG) cables in place. In group B, the electrodes and ECG cables were fixated with Mefix. A comparison was made, between the groups, regarding the amount of artefacts that occurred during the registration period.  To analyze if there was a significant difference between the groups, Wilcoxon rank sum test was applied. The result proved to be within the range limits of the critical value, which implies that the null hypothesis cannot be rejected. Hence, there was no significant difference regarding the amount of artefacts that occurred. However, because of a small sample volume and shortfalls in the study procedure, no founded statistical conclusions could be drawn.

Breast cancer screening and diagnosis in X-ray mammography rely on the detection and visualization of microcalcifications (μCs) and soft tissue masses. The early detection of breast cancer has been shown to decrease breast cancer mortality. The μCs are composed mainly of calcium with attenuation coefficients greater than that of soft tissue. The detection and visualization of μCs are relatively easy over a uniform tissue background, but limited by the ‘‘clutter’’ due to overlapping tissue background present on the mammogram. The clutter in tissue background arises from the structures of glandular tissue, vessels, and soft tissue masses in the breast. However, depending upon their size and location, the visualization of calcifications in mammograms may be limited by the superimposed anatomical structures even when the calcifications have adequate contrast-to-noise ratio (CNR). Dual-energy subtraction imaging techniques offer an alternative approach to the detection and visualization of μCs. With this technique, high- and low-energy images are separately acquired and ‘‘subtracted’’ from each other in a weighted fashion to cancel out the cluttered tissue structure so as to decrease the obscurity from overlapping tissue structures. In this study, computer simulations were developed in order to compute SNR as a function of various imaging parameters (X-ray spectra, μC size, breast thickness, and total exposure- 2 different cases) in Dual Energy Calcification images. Emphasis was placed on the monochromatization of the X-ray spectra with the use of K-edge filtering technique. Also, simulations provided values for various quality parameters of the spectra. Optimization was based on maximization of SNRtc while reducing total entrance exposure of the breast or Coefficient of Variation of the incident photons (CVIinc). / Ο καρκίνος του μαστού, ο οποίος είναι μια κοινή αιτία θανάτου μεταξύ των γυναικών του πληθυσμού, μπορεί να εκδηλωθεί μέσω μικροαποτιτανώσεων. Στη μαστογραφία, η ιατρική διάγνωση (συμπεριλαμβανομένων των τεχνικών ελέγχου) βασίζεται στην ανίχνευση και απεικόνιση αυτών των μικροαποτιτανώσεων (μCs) ή/ και της μάζας των μαλακών ιστών. Η έγκαιρη ανίχνευση του καρκίνου έχει αποδειχθεί ότι μειώνει τη θνησιμότητα λόγω καρκίνου του μαστού. Οι μCs αποτελούνται κυρίως από ασβέστιο (Ca), με αποτέλεσμα τη μεγαλύτερη εξασθένηση της ακτινοβολίας σε σχέση με τον μαλακό ιστό. Η ανίχνευση και η απεικόνιση των μικροαποτιτανώσεων είναι σχετικά εύκολη για έναν ομοιόμορφο μαστό. Ωστόσο, η απεικόνιση περιορίζεται από την ανομοιομορφία του υγιούς επικείμενου ιστού, που προκύπτει από τον αδενώδη ιστό, τις φλέβες και τους μαλακούς ιστούς στο μαστό. Ανάλογα με το βαθμό της ανομοιομορφίας, την αντίθεση των μCs, και τον τρόπο της επικάλυψης του ιστού, μπορεί να είναι δύσκολο να εντοπιστεί μια μικροαποτιτάνωση, παρόλο που ενδέχεται να υπάρχει επαρκής λόγος αντίθεσης προς θόρυβο (CNR). Η απεικόνιση με αφαιρετική τεχνική διπλής ενέργειας προσφέρει μια εναλλακτική προσέγγιση για την ανίχνευση και απεικόνιση των μCs. Με την τεχνική αυτή, αποκτώνται ξεχωριστά εικόνες υψηλής και χαμηλής ενέργειας και στη συνέχεια αφαιρείται η μια από την άλλη, με σκοπό να μειωθεί η ασάφεια από τις επικαλυπτόμενες δομές του ιστού. Στη παρούσα μελέτη, αναπτύχθηκε αλγόριθμος προσομοίωσης για τον υπολογισμό του SNR για διάφορους παράγοντες απεικόνισης (φάσματα ακτίνων-Χ, μέγεθος αποτιτάνωσης, πάχος μαστού και συνθήκες έκθεσης). Έμφαση δόθηκε στη τροποποίηση των φασμάτων ακτίνων-Χ ώστε να αποκτηθούν όσο το δυνατόν πιο «μονοχρωματικά» φάσματα με τη χρήση της τεχνικής K-edge. Η επιλογή των βέλτιστων φασμάτων υψηλής και χαμηλής ενέργειας βασίστηκε στην αύξηση του SNRtc με ταυτόχρονη μείωση της έκθεσης εισόδου στην επιφάνεια του μαστού ή τη μείωση του συντελεστή διακύμανσης των προσπιπτόντων φωτονίων στην είσοδο του μαστού (CVIinc).