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: Digital Communication, Communication Error Correction, Information Compression Error, Information Compression, Data Compression, data Coding, Huffman Coding Algorithm, Error Correction, Linear Block Codes, noise, convolutional coding, Viterbi decoding of convolutional codes, Systematic Code, Convolution Codes, Hamming Codes, Convolutional Codes, Convolutional Code Construction, Parity Equations, Shift-Register View, State-Machine View, Decoding Problem, Viterbi Decoder, Soft-Decision Decoding, Signal to Noise Ratio, linear Time-Invariant Systems, Baseband Signal, Modulation, Demodulation, Baseband Channel, Linear Time-Invariant Models, Baseband Channel Model, Signal Spectra, Discrete-Time Fourier Transform, Fourier Transform, Discrete-Time Fourier Series, Fourier Series, Channel Distortions, Binary Phase Shift Keying, Quadrature Phase Shift Keying, Quadrature Amplitude Modulation, Media Access Protocols, Shared Media Satellite communications, Satellite communications, Time Division Multiple Access, ALOHA, Carrier Sense Multiple Access, Circuit Switching, Packet Switching, Little’s Law, Network Routing, Routing, Broadcast routing, Routing Protocol, Reliable Data Transport Protocols

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

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: 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: 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: Communication, Fourier series, Fourier transform, signal symmetry, modulation, amplitude modulation, amplitude modulation large carrier

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: radar, radar systems, Fourier analysis, fast Fourier transform, antenna, antenna array, Tracking