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# EC6303 Signals and Systems Notes

## OUTCOMES: EC6303 Signals and Systems Notes

Upon the completion of the course, students will be able to: Analyze the properties of signals & systems Apply Laplace transform, Fourier transform, Z transform and DTFT in signal analysis Analyze continuous time LTI systems using Fourier and Laplace Transforms Analyze discrete time LTI systems using Z transform and DTFT

### TEXT BOOK: EC6303 Signals and Systems Notes

1. Allan V.Oppenheim, S.Wilsky and S.H.Nawab, “Signals and Systems”, Pearson, 2007.

#### REFERENCES: EC6303 Signals and Systems Notes

1. B. P. Lathi, “Principles of Linear Systems and Signals”, Second Edition, Oxford, 2009.

2. R.E.Zeimer, W.H.Tranter and R.D.Fannin, “Signals & Systems – Continuous and Discrete”, Pearson, 2007.

3. John Alan Stuller, “An Introduction to Signals and Systems”, Thomson, 2007.

4. M.J.Roberts, “Signals & Systems Analysis using Transform Methods & MATLAB”, Tata McGraw Hill, 2007.

##### Signal definition EC6303 Signals and Systems Notes

A signal is a function representing a physical quantity or variable, and typically it contains information about the behaviour or nature of the phenomenon.
For instance, in a RC circuit the signal may represent the voltage across the capacitor or the current flowing in the resistor. Mathematically, a signal is represented as a function of an independent variable ‘t’. Usually ‘t’ represents time. Thus, a signal is denoted by x(t). 1.1.2

###### System definition EC6303 Signals and Systems Notes

A system is a mathematical model of a physical process that relates the input (or excitation) signal to the output (or response) signal. Let x and y be the input and output signals, respectively, of a system. Then the system is viewed as a transformation (or mapping) of x into y. This transformation is represented by the
mathematical notation
y= Tx —————————————–(1.1)
where T is the operator representing some well-defined rule by which x is transformed into y. Relationship (1.1) is depicted as shown in Fig. 1-1(a). Multiple input and/or output signals are possible as shown in Fig. 1-1(b). We will restrict our attention for the most part in this text to the single-input, single-output case.

 Subject Name Signals and Systems Subject Code EC6303 Regulation 2013