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This video contains solution of problem 2.8 of second chapter of book Signals and Systems written by Allan V oppenheim, Allan S. Willsky and Hamid Nawab. channel Rajiv Patel Mathosy Guru contains all materials related to mathematics. Rajiv Patel got AIR 5 in GATE 2012 having 24 years experience of teaching. expansion of ex, sinx, cosx, log(1+x) in 2 seconds • power series expansion of any function in ... how to find time period of different type of signals • Signals and Systems Basic-17/Periodic Sign... It's important to realize that in practice many types of systems are used, and only some of them can be regarded as (approximately) LTI. The (didactical) advantage of treating LTI systems in a basic signals and systems course is the elegance and relative simplicity of the underlying theory. Stability and causality are easily checked, and the input-output relation is conveniently described by convolution (in the time domain) or multiplication (in the frequency domain). The Fourier transform is a powerful tool for analyzing LTI systems. Another advantage is the relative ease with which such systems can be designed. Just think of the vast number of filter design methods. Even though LTI systems are often used in practice, you will find many situations where other systems are needed. A simple example of a linear but time-varying system is a modulator, which multiplies a signal with a given function. A decision circuit in a receiver is a non-linear system. An adaptive equalizer is a time-varying and non-linear system, since the adaptation of the coefficients depends on the input signal. It would be easy to continue this list of practical examples of non-LTI systems. You will probably learn about such systems in more advanced signal processing courses. However, a deep understanding of LTI system theory will help in grasping these more advanced concepts. Linear time-invariant systems (LTI systems) are a class of systems used in signals and systems that are both linear and time-invariant. Linear systems are systems whose outputs for a linear combination of inputs are the same as a linear combination of individual responses to those inputs. Time-invariant systems are systems where the output does not depend on when an input was applied. These properties make LTI systems easy to represent and understand graphically. solution of problem number 1.26a, 1.26b, 1.26c, 1.26d and 1.26e of Alan V oppenheim Alan S. Willsky S. Hamid Nawab by Rajiv Patel All India Rank - 5 in GATE 2012 • Signals and Systems Basic-21/Solution of P... Solution of problems 1.27a,1.27b,1.27c,1.27d,1.27e,1.27f,1.27g of Alan V. oppenheim • Signals and Systems Basic-25/Solution of 1...