Introduction to Signals and Systems, types

Signals & Systems

1. Signals & Digital Signal Processing BEE502 Module-1 Introduction to Signals & Systems Sri Adichunchanagiri Shikshana Trust (R) SJB Institute of Technology (Affiliated to Visvesvaraya Technological University, Belagavi& Approved by AICTE, New Delhi.) Department of Electrical & Electronics Engineering Dr. J P Sridhar Associate Professor Department of EEE, SJBIT

2. Signals & Digital Signal Processing BEE 502 Lecture hour:01 By Dr.J P Sridhar Associate Professor Department of EEE, SJBIT

3. BEE502 Module 1 Department of EEE, SJBIT 3 Module-1 Signals, systems and signal processing, classification of signals, Basic Operations on Signals, Basic Elementary Signals, properties of systems. concept of frequency in continuous and Discrete time signals, sampling of analog signals, the sampling theorem , quantization of continuous amplitude and sinusoidal signals , coding of quantized samples, digital to analog conversion. Time-domain representations for LTI systems: Convolution, impulse response representation, Convolution Sum and Convolution Integral, properties of impulse response representation, solution of difference equations.

4. BEE502 Module 1 Department of EEE, SJBIT 4 INTRODUCTION OF SIGNALS, SYSTEMS & SIGNAL PROCESSING

5. BEE502 Module 1 Department of EEE, SJBIT 5 INTRODUCTION OF SIGNALS, SYSTEMS & SIGNAL PROCESSING

6. BEE502 Module 1 Department of EEE, SJBIT 6 Explain basic elements of digital signal processing . Most of the signals encountered in science and engineering are analog in nature. That is, the signals are functions of a continuous variable, such as time or space. And usually take on values in a continuous range. Such signals are processed directly by appropriate analog systems. DIAGRAM

7. BEE502 Module 1 Department of EEE, SJBIT 7 Digital signal processing provides an alternative method for processing the analog signal.

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29. BEE502 Module 1 Department of EEE, SJBIT 29 Assignment 1

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31. BEE502 Module 1 Department of EEE, SJBIT 31 What are Elementary Signals? In any engineering application, if we want to analyze the characteristics of any system that can be a process or a physical device, we must test or analyze it with a certain set of inputs. But every time it is not possible to apply these directly to that physical device. Hence, we model the physical system into a suitable mathematical model and analyze it with a set of signals that replicate the character of the input we want to apply to this system and record its response by using various mathematical tools such as Fourier transforms, Laplace transforms, eigenfunctions, etc.

32. BEE502 Module 1 Department of EEE, SJBIT 32 It is not possible to model every random input, but certain sets can replicate most inputs we want to apply to the system. For example, if the nature of your input is a sudden blow in a short duration, we can model this as an impulse signal; if it is a sudden input with a finite magnitude that longs for an infinite(long) duration we can model as a step signal ; if it is oscillatory, then we can model it as a sinusoidal signal. Like this, some signals those found extensive use in our applications such as Sinusoidal signal Exponential signal Impulse signal Unit step signal Ramp signal Parabolic signal But how do we model these signals?

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