download\u00a0GATE 2013\u00a0Syllabus\u00a0for Electronics and Communication Engineering<\/p>\n
ENGINEERING\u00a0MATHEMATICS Linear Algebra:<\/strong>\u00a0Matrix Algebra, Systems of linear\u00a0equations, Eigen values and Eigen vectors.<\/p>\n Calculus:<\/strong>\u00a0Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green\u2019s theorems.<\/p>\n Differential\u00a0equations:<\/strong>\u00a0First order equation (linear and nonlinear), Higher order linear differential\u00a0equations\u00a0with constant coefficients,\u00a0Method\u00a0of variation of parameters, Cauchy\u2019s and Euler\u2019s\u00a0equations, Initial and boundary value problems, Partial Differential\u00a0Equations\u00a0and variable separable Method.<\/p>\n Complex variables:<\/strong>\u00a0Analytic functions, Cauchy\u2019s integral theorem and integral formula, Taylor\u2019s and Laurent\u2019 series, Residue theorem, solution integrals.<\/p>\n Probability and Statistics:<\/strong>\u00a0Sampling theorems, Conditional probability, Mean, median, mode and standard deviation,\u00a0Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.<\/p>\n Numerical Methods:<\/strong>\u00a0Solutions of non-linear algebraic\u00a0equations, single and multi-step methods for differential\u00a0equations.<\/p>\n Transform Theory:<\/strong>\u00a0Fourier transform,\u00a0Laplace transform, Z-transform.<\/p>\n ELECTRONICS AND COMMUNICATION ENGINEERING Networks: Network graphs:<\/strong>\u00a0matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, the venin and Norton\u2019s maximum power transfer, Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear constant coefficient differential\u00a0equations; time\u00a0domain\u00a0analysis of simple RLC circuits, Solution of network\u00a0equations\u00a0using Laplace transform: frequency\u00a0domain\u00a0analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State\u00a0equations\u00a0for networks.<\/p>\n Electronic Devices:<\/strong>\u00a0Energy bands in silicon, intrinsic and extrinsic silicon. Carrier\u00a0transport\u00a0in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche\u00a0photo\u00a0diode, Basics of LASERs. Device technology: integrated circuits\u00a0fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.<\/p>\n Analog Circuits:<\/strong>\u00a0Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits, 555 Timers. Power supplies.<\/p>\n Digital circuits:<\/strong>\u00a0Boolean algebra, minimization of Boolean functions;\u00a0logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and\u00a0flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor (8085): architecture, programming, memory and I\/O interfacing.<\/p>\n Signals and Systems:<\/strong>\u00a0Definitions and properties of\u00a0Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.<\/p>\n Control Systems:<\/strong>\u00a0Basic control system components;\u00a0block\u00a0diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and\u00a0techniques\u00a0for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.<\/p>\n Communications:<\/strong>\u00a0Random signals and noise: probability, random variables,\u00a0probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, super heterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR)\u00a0calculations\u00a0for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and\u00a0channel\u00a0capacity theorem. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.<\/p>\n Electromagnetics:<\/strong>\u00a0Elements of vector calculus: divergence and curl; Gauss and Stokes theorems, Maxwell\u2019s\u00a0equations: differential and integral forms. Wave equation, pointing vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.<\/p>\n GATE 2013\u00a0Syllabus\u00a0for Electronics and Communication Engineering<\/span><\/p>\n","protected":false},"excerpt":{"rendered":" GATE 2013\u00a0Syllabus\u00a0for Electronics and Communication Engineering download\u00a0GATE 2013\u00a0Syllabus\u00a0for Electronics and Communication Engineering ENGINEERING\u00a0MATHEMATICS Linear Algebra:\u00a0Matrix Algebra, Systems of linear\u00a0equations, Eigen values and Eigen vectors. Calculus:\u00a0Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[37,336,28],"class_list":["post-101","post","type-post","status-publish","format-standard","hentry","category-gate","tag-electronics-and-communication-engineering","tag-gate","tag-syllabus"],"_links":{"self":[{"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/posts\/101","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/comments?post=101"}],"version-history":[{"count":5,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/posts\/101\/revisions"}],"predecessor-version":[{"id":1007,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/posts\/101\/revisions\/1007"}],"wp:attachment":[{"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/media?parent=101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/categories?post=101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eduetc.com\/edu\/wp-json\/wp\/v2\/tags?post=101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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