GATE-2019-EC.pdf - Topic wise Tests Each test carries 25...

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Test No Topic code Topic Date of Activation EC-01 GEM – ϭ (Engineering Mathematics) Linear Algebra, Calculus, Differential Equations and Vector Analysis. EC-02 GEM – Ϯ (Engineering Mathematics) Complex Anaysis, Numerical Methods and Probability and Statistics. EC-03 GCS – ϭ (Control Systems) Basic control system components; Feedback principle; Transfer function; Block diagram representation; Signal flow graph; Transient and steady-state analysis of LTI systems; Routh Hurwitz stability criteria, root-locus plot. EC-04 GCS – Ϯ (Control Systems) Frequency response; Nyquist stability criteria; Bode Plot, Lag, lead and lag-lead compensation; State variable model and solution of state equation of LTI systems. EC-05 GSS – ϭ (Signals and Systems) Introduction to signals, LTI systems: definition and properties, causality, stability, impulse response, convolution. Fourier series and Fourier transform representations. sampling theorem and applications. Frequency response, group delay and phase delay. EC-06 GSS – Ϯ (Signals and Systems) Laplace transform, discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time signals, poles and zeros, parallel and cascade structure, digital filter design techniques. EC-07 GDC – ϭ (Digital Circuits) Number systems; Combinatorial circuits: Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, code converters, multiplexers, decoders and PLAs; EC-08 GDC – Ϯ (Digital Circuits) Sequential circuits: latches and flip‐flops, counters, shift‐ƌegisteƌs and finite state machines. Data converters: sample and hold circuits, ADCs and DACs; EC-09 GDC – ϯ (Digital Circuits) Semiconductor memories: ROM, SRAM, DRAM, 8-bit microprocessor (8085): architecture, programming, memory and I/O interfacing. EC-10 GNW – ϭ (Networks) Network solution methods: nodal and mesh analysis; Network theorems: superposition, Thevenin and NoƌtoŶ’s, ŵadžiŵuŵ poǁeƌ tƌaŶsfeƌ; WLJe‐Delta tƌaŶsfoƌŵatioŶ EC-11 GNW – Ϯ (Networks) Steady state sinusoidal analysis using phasors; Time domain analysis of simple linear circuits; Solution of network equations using Laplace transform; Frequency domain analysis of RLC circuits; Linear Ϯ‐poƌt Ŷetǁoƌk paƌaŵeteƌs: dƌiǀiŶg poiŶt aŶd tƌaŶsfeƌ fuŶctioŶs; State eƋuatioŶs foƌ Ŷetǁoƌks.
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  • Fall '19
  • Digital Circuits & Analog Circuits

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