Download Signals and systems - MCE302 Past Question PDF

Topics: continuous-time signals, representation of signals, continuous-time systems, linearity, causality, stability, Laplace transform, Fourier series, Fourier transform, transfer function, response of systems, MATLAB, Z-transform, Discrete-time Fourier Transform, Discrete Fourier Transform

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform

Topics: Mathematical model, time response analysis, time response, test signal, impulse response, order of a system, partial fraction expansion, Response of first order system, Response of second order system, time domain specification, steady state error, static error constant, error coefficient, automatic control system, controller, time response analysis, frequency response, sinusoidal transfer function, transfer function, frequency domain, frequency response plot, Bode plot, Magnitude plot, phase plot, Nichols plot, M-circle, N-circle, Nichols chart, Bounded input Bounded output stability, root locus, Routh Hurwitz criterion, Nquist plot, open loop system, closed loop system, mechanical translational system, Laplace transform, mechanical rotational system, electrical system, analogous circuit, block diagram, signal flow graph

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Fourier series, Fourier transform

Topics: Frequency space, Complex numbers, Euler's formula, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, Fourier Descriptor, Fourier Descriptor

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Communication Systems Engineering, Electrical Communication System, Communication Channel, frequency domain analysis, Fourier series, Fourier transforms, Bandlimited Signals sampling, bandpass signals, analog signal transmission, modulation, amplitude modulation, Conventional Amplitude Modulation, angle modulation, radio broadcasting, television broadcasting, mobile radio systems, random processes, Gaussian Processes, White Processes, Bandlimited Processes, Bandpass Processes, Linear-Modulation Systems, information sources, source coding, source-coding theorem, Source-Coding Algorithms, Rate-Distortion Theory, quantization, Analysis-Synthesis Techniques, waveform coding, Digital Audio Transmission, Digital Audio Recording, Pulse Amplitude Modulation, Two-dimensional Signal Waveforms, Multidimensional Signal Waveforms, White Gaussian Noise, Symbol Synchronization, Bandlimited Channels, Digitally Modulated Signals, channel; capacity, channel coding, linear block code, cyclic codes, Convolutional Codes, wireless communications, Continuous Carrier-Phase Modulation, Spread-Spectrum Communication Systems, Digital Cellular Communication Systems

Topics: equilibrium, energy, conservation, temperature, Energy process, modes of heat transfer, conduction heat transfer, convection heat transfer.freezing, evaporation, radiative heat transfer, mass transfer, equilibrium, mass conservation, kinetics, Fick's law, diffusion mass transfer, convection mass transfer, thermodynamics, Biological Heat transfer, Biological mass transfer, bioenvironmental heat transfer, bioenvironmental mass transfer

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform

Topics: engineering principles, engineering units, momentum transfer, overall balance, momentum transfer, steady-state heat transfer, unsteady-state heat transfer, mass transfer, molecular diffusion, unsteady-state mass transfer, convective mass transfer, evaporation, unit operations, drying, continuous gas-liquid separation process, vapor-liquid separation process, liquid-liquid separation process, fluid-solid separation process, membrane separation process, mechanical-physical, transport process

Topics: digital image processing, Continuous Image Mathematical Characterization, Continuous Image Characterization, light perception, eye physiology, visual phenomena, monochrome vision model, Photometry, Colorimetry, color matching, color spaces, image sampling, image reconstruction, Monochrome Image Sampling Systems, Monochrome Image Reconstruction Systems, Color Image Sampling Systems, image measurement, Discrete Image Mathematical Characterization, Vector-Space Image Representation, Generalized Two-Dimensional Linear Operator, Image Statistical Characterization, Image Probability Density Models, Linear Operator Statistical Representation, Finite-Area Superposition, Finite-Area Convolution, Sampled Image Superposition, Sampled Image Convolution, Circulant Superposition, circulant Convolution, General Unitary Transforms, Fourier transform, cosine transform, sine transform, Hartley transform, Hadamard Transforms, Haar Transforms, Daubechies Transforms, Karhunen–Loeve Transform, wavelet transforms, Linear Processing Techniques, Transform Domain Processing, Transform Domain Superposition, Fast Fourier Transform Convolution, Fourier Transform Filtering, image improvement, Image Enhancement, Contrast Manipulation, Histogram Modification, noise cleaning, Edge Crispening, Color Image Enhancement, Multispectral Image Enhancement, image restoration, image restoration models, Continuous Image Spatial Filtering Restoration, Pseudoinverse Spatial Image Restoration, Statistical Estimation Spatial Image Restoration, Multi-Plane Image Restoration, Geometrical Image Modification, Morphological Image Processing, binary image, Edge Detection, Image Feature Extraction, Image Segmentation, shape analysis, Image Detection, image Registration, Point Processing Image Compression, image compression, video compression, Spatial Processing Image Compression

Topics: DC Circuits, Operational Amplifier, Nonlinear Passive Circuit Elements, independent sources, dependent sources, time-varying sources, voltmeter, circuit law, network theorem, circuit analysis, power transfer, Operational Amplifier, Amplifier Models, Transient Circuit, Dynamic Circuit Elements, AC Circuits, Steady-State AC Circuit, filter circuit, bode plot, frequency response, Fourier transform, RLC circuit, AC Power, power distribution, transformer, inductor, digital circuit, switching circuit, analog-to-digital conversion, embedded computing, Diode, Transistor Circuits, Bipolar Junction Transistor, BJT Circuits, MOS Field-Effect Transistor, MOSFET

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Topics: Real Numbers, Mathematical Induction, Mathematical Conventions, Complex Numbers, Taylor Theorem, Maclaurin Theorem, Vectors, Vector Spaces, Matrices, linear equation, Echelon, Eigen, Differential equations, fourier series, Laplace transform, vector calculus, complex analysis, bernoulli, riccati, cauchy-euler, Gamma function, frobenieus method, bessel function, Fourier integrals, Fourier transform, Vector Differential Calculus, Vector Integral Calculus, analytic functions, complex intergration, laurent series

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: Conduction, Steady-State Conduction, Transient Conduction, Convection, external flow, internal flow, free convection, boiling, condensation, heat exchanger, radiation, diffusion mass transfer, Thermophysical Properties of Matter, Convection Transfer Equations