Theoretical results are backed up by well chosen examples and analogies whenever possible, allowing students to naturally discover meaning for themselves. Instead of viewing engineering as a branch of applied mathematics, the literature employs mathematics to improve physical and intuitive knowledge of topics, rather than to prove an axiomatic theory. The author represents the physical appreciation of concepts rather than the mere mathematical manipulation of symbols in this worldwide version of the first edition, Principles of Signal Processing and Linear Systems. Relation between continuous and discrete time systems. Reconstruction: ideal interpolator, zero-order hold, first-order hold, and so on. The Sampling Theorem and its implications- Spectra of sampled signals.
The idea of signal space and orthogonal bases.Įvolution of Transforms: Fourier Transform, Laplace Transform, Z-transform (single sided and Double sided) The Laplace Transform, notion of eigen functions of LSI systems, a basis of eigen functions, region of convergence, poles and zeros of system,, solution to differential equations and system behaviour using Laplace Transformation The z-Transform for discrete time signals and systems- eigen functions, region of convergence, z-domain analysis. The Discrete-Time Fourier Transform (DTFT) and the Discrete Fourier Transform (DFT).
ANALOG COMMUNICATION J S KATRE FREE BOOK PDF SERIES
Periodic and semi-periodic inputs to an LSI system, the notion of a frequency response and its relation to the impulse response, Fourier series representation, the Fourier Transform, convolution/multiplication and their effect in the frequency domain, magnitude and phase response, Fourier domain duality. System representation through differential equations. Characterization of causality and stability of linear shift invariant systems. Linear shift-invariant (LSI) systems, impulse response and step response, convolution, input-output behaviour with aperiodic convergent inputs.
System properties: linearity: additivity and homogeneity, shift-invariance, causality, stability, realizability. Energy and power signals, continuous and discrete time signals, continuous and discrete amplitude signals. Signals and systems as seen in everyday life, and in various branches of engineering and science.
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