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Lecture2 RLC circuits time domain analysis

Time-Domain Analysis and z Transform

Time-Domain Analysis and z Transform

... X (z) = we get z( z − e−α cos(θ )) z2 − (2e−α cos(θ ) )z + e−2α ∞ n=0 dX (z) = dz z z (z2 + 4z + 1) (z − 1)4 az (z + a) (z − a)3 z (z − a)3 z (z − a)m z z − rej θ z( z − r cos(θ )) z2 − (2r cos(θ ) )z ... 0.0 2z 2 ] [1 − 0. 3z z − 0. 3z + 0.02 (z − 0.1) (z − 0.2) and Y0s (z) = = z [1 − 0. 1z 1 ] X (z) [1 − 0. 1z 1 ] = [1 − 0. 3z 1 + 0.0 2z 2 ] z + 0.2 [1 − 0. 3z 1 + 0.0 2z 2 ] z[ z2 − 0. 1z] z2 (z − 0.1) = (z ... 3 z (z − 1) (z − 2) (z − 2) (z − 2) (z − 2) (z − 1) k= C0 = C1 = C2 = ( 2z2 − 1 1z + 12) (z − 2)3 z= 1 ( 2z2 − 1 1z + 12) (z − 1) z= 2 = −3 = −2 ( 2z2 − 1 1z + 12) (z − 1) d dz z= 2 ( 2z2 − 1 1z + 12) (z...
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Frequency-Domain Analysis

Frequency-Domain Analysis

... used in frequency-domain analysis of discrete-time systems, including the design of DTFT OF UNIT STEP SEQUENCE 143 filters However, as mentioned earlier, they can also be used in time-domain analysis, ... (3.16) add up, giving the actual response as shown by the curve for X(ej ω ) [We have 116 FREQUENCY-DOMAIN ANALYSIS (a) ⎮ a( jw)⎮ X (b) Figure 3.1 An analog signal xa (t) and the magnitude of its ... Figure 3.3 A bandlimited analog signal and the magnitude of its Fourier transform 118 FREQUENCY-DOMAIN ANALYSIS xb(nT ) n (a) Ideal analog lowpass filter − wt −wb wb wt wt (b) Figure 3.4 The...
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Tài liệu 37 Time-Varying Analysis-Synthesis Filter Banks docx

Tài liệu 37 Time-Varying Analysis-Synthesis Filter Banks docx

... Time-Varying Analysis-Synthesis Filter Banks 37. 1 37. 2 37. 3 37. 4 Iraj Sodagar DavidSar noffResearch Center 37. 1 Introduction Analysis of Time-Varying Filter Banks Direct Switching of Filter Banks ... time-varying filter banks and briefly discuss some design methods 37. 2 Analysis of Time-Varying Filter Banks Time-varying filter banks are analysis-synthesis systems in which the analysis filters, the ... (37. 6) T , (37. 7) then Eq (37. 5) can be written in the form of one inner product, ˆ x(n) = sT (n)w(n) ˆ (37. 8) where s(n) and w(n) are vectors of length N (n)M(n) Using Eqs (37. 1), (37. 3), (37. 7),...
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Measurement of Organic Chemical Refractive Indexes Using an Optical Time-Domain Reflectometer docx

Measurement of Organic Chemical Refractive Indexes Using an Optical Time-Domain Reflectometer docx

... sensitivity and the possibility of enabling long distance measurements [9,10] In this demonstration, we propose and demonstrate a RI measurement method using an optical time-domain reflectometer ... easy to manipulate In the characterization, water and seven liquid organic chemicals were tested: water, ethyl acetate, n-hexane, methyl ethyl ketone, heptane, THF, cyclohexanone and ethanolamine ... simple and provides quick measurement results Principles An OTDR is used to measure the properties of an optical fiber An optical pulse is first generated in the OTDR and is coupled into the fiber...
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Daily air pollution time series analysis of Isfahan City docx

Daily air pollution time series analysis of Isfahan City docx

... preliminary understating of the time behavior of the series Fig.1 shows time series plot of selected time series air pollution concentration This Figure shows different time behavior of air pollutants ... Spectral analysis of air pollutants Part 1: elemental carbon time series Atmospheric Environment, 34, 3495-3502 Discussion and Conclusion Daily air pollution time series analysis of Isfahan city ... 281 321 Time( Day) Time (Day) Time( Day) Time (Day) Fig 1: Time series plots of selected air pollutions (solid line) and fitted regression curves (dashed lines) 263 Daily air pollution time R...
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Silicon as a model ion trap: Time domain measurements of donor Rydberg states

Silicon as a model ion trap: Time domain measurements of donor Rydberg states

... pulse has passed, that is, the relaxation and the corresponding recombination of free electrons and ions, with a simple rate equation model (22) Three states are important: (i) the ground state, ... share significant virtues with isolated atoms in traps, although phonon, rather than photon emission leads to decay time scales 10 –100 times faster than what is usual in atoms Our timedomain ... population of the bath, eventually causing depopulation and decoherence To quantify this effect and determine the temperature range over which Si can meaningfully function as an ion trap, we have measured...
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finitte difference time domain studies on optical transmission through planar

finitte difference time domain studies on optical transmission through planar

... incident light to be considered is monochromatic and linearly polarized along the y-direction ridged) are compared in terms of transmission efficiency, field distribution, signal contrast, spot size, ... [Fig 3(i)] due to the evanescent wave through the aperture channel, the transmission efficiency is as low as 0.0038 In contrary, the optical transmission efficiency through the Hshaped aperture is 2.14, ... investigate the transmission behavior of the H- shaped aperture, its spectral variation and dependence on the film thickness are calculated Several transmission peaks are found in the transmission spectrum...
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finitte difference time domain studies on optical transmission through planar

finitte difference time domain studies on optical transmission through planar

... incident light to be considered is monochromatic and linearly polarized along the y-direction ridged) are compared in terms of transmission efficiency, field distribution, signal contrast, spot size, ... [Fig 3(i)] due to the evanescent wave through the aperture channel, the transmission efficiency is as low as 0.0038 In contrary, the optical transmission efficiency through the Hshaped aperture is 2.14, ... investigate the transmission behavior of the H- shaped aperture, its spectral variation and dependence on the film thickness are calculated Several transmission peaks are found in the transmission spectrum...
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handbook of time series analysis

handbook of time series analysis

... of timeseries analysis in the time domain which arose largely as a consequence of the failure of the traditional methods of periodogram analysis The synthesis of the two branches of time- series ... harmonic analysis that gave rise to the concept of the spectral density of a time 12 1: THE METHODS OF TIME- SERIES ANALYSIS series should prove to be wholly conformable with the alternative methods of ... also belies the fact that time- series analysis has had a long history The frequency domain of time- series analysis, to which the idea of the harmonic decomposition of a function is central, is...
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optical properties of nanostructured metallic systems studied with the finite-difference time-domain method

optical properties of nanostructured metallic systems studied with the finite-difference time-domain method

... field Sergio G Rodrigo Optical Properties of Nanostructured Metallic Systems Studied with the Finite-Difference Time-Domain Method Doctoral Thesis accepted by The University of Zaragoza, Spain 123 ... of the metal, dependence on the metal thickness and the study of optical properties of metal coated microspheres), the optical properties of metamaterials made with stacked hole arrays and the ... articles, they were of the utmost importance for achieving the objectives therein To start with, we recall some of the most important benefits on the use of the FDTD method: i Different sort of material...
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an introduction to state space time series analysis aug 2007

an introduction to state space time series analysis aug 2007

... and Durbin and Koopman (2001) treat the topic of state space methods at an advanced level suitable for postgraduate and advanced graduate courses in time series analysis Elementary time series books, ... time series analysis using state space methodology to readers who are neither familiar with time series analysis nor with state space methods The only background required in order to understand ... An Introduction to State Space Time Series Analysis Practical Econometrics Series Editors Jurgen Doornik and Bronwyn Hall Practical econometrics is a series of books designed to provide...
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báo cáo sinh học:

báo cáo sinh học:" Using nurses to identify HAART eligible patients in the Republic of Mozambique: results of a time series analysis" potx

... clinical, laboratory and pharmacy information for all patients, including the dates of enrollment into the HIV clinic, the dates of all clinical appointments and CD4 tests and the dates of starting ... two-years of initial training, and all had attended standardized training on staging HIV-positive patients using CD4 counts and WHO criteria Prior to the intervention, all HAART and non -HAART eligible ... regression was then used to compare the hazard rates at which these patients started HAART before and after the intervention, using the date of the initial CD4 blood draw as the starting point for...
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Báo cáo sinh học:

Báo cáo sinh học: " Determination of suitable housekeeping genes for normalisation of quantitative real time PCR analysis of cells infected with human immunodeficiency virus and herpes viruses" pdf

... Reference gene selection for quantitative real- time PCR analysis in virus infected cells: SARS corona virus, Yellow fever virus, Human Herpesvirus-6, Camelpox virus and Cytomegalovirus infections Virol ... of cell types infected with a variety of strains of HIV-1, HSV-1, VZV and cytomegalovirus (CMV) compared to mock infected cells Results A range of cell lines and primary cells were infected with ... reliable housekeeping genes in cells infected with a variety of viruses [7,12], however to date no such study has been carried out in cells infected with human immunodeficiency virus (HIV) or the herpes...
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Báo cáo sinh học:

Báo cáo sinh học: " Reference gene selection for quantitative real-time PCR analysis in virus infected cells: SARS corona virus, Yellow fever virus, Human Herpesvirus-6, Camelpox virus and Cytomegalovirus infections" doc

... ideal reference gene in gene expression analysis has to be done for each individual experimental setting by evaluat- ing several genes and using the best two or three of these genes as reference ... synthesis was performed using µg of RNA, at 50°C Finally, cDNA was diluted 1:5 before use in QPCR Quantitative TaqMan PCR Primers, TaqMan probes and QPCR conditions for reference gene analysis were ... tested reference genes in a setting of virus infected human cell lines Capa- Page of (page number not for citation purposes) Virology Journal 2005, 2:7 ble reference genes were evaluated using three...
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