Signals A signal is a function that conveys

Signals A signal is a function that "conveys information about the behavior or attributes of some phenomenon". signal space

Signal == Function of Time Range domain continuous-time discrete-time

Signal == Function of Time Range domain Real Complex Analog/Digital How to show?

Complex Signals Phase Positive Amplitude

Complex Signals Imaginary Part Real Part

Characteristics Power and Energy Periodic/Non-periodic Odd/Even

Power and Energy Physical Signals have energy Information is not energy but needs energy Energy is not power

Power and Energy Physical Signals have energy Power

Power and Energy Physical Signals have energy A signal may be neither an energy nor a power signal.

Power and Energy Practice

Power and Energy Practice

Periodic Signals sinusoidal signal

Periodic Signals Periodic signals with the same period are closed under scalar multiplication and addition Set of all periodic signals with period

Periodic Signals

Periodic Signals vector space signal space What are the basis? Periodic signals with period T

Periodic Signals k=0 k=1 k=2 k=3 k=4

Periodic Signals signal space Periodic signals with period T/2

Periodic Signals Under what condition it is periodic?

Periodic Signals Periodic signals with the same period are closed under scalar multiplication and addition

Even and Odd

Even and Odd Practice

Even and Odd Practice

Basic Signals unit step function

Basic Signals unit impulse function SHOCK Basic Property

Basic Signals unit impulse function

Basic Signals unit impulse function

Basic Signals unit ramp function Basic Property

Basic Signals rectangular pulse signal

Basic Signals rectangular pulse signal

Basic Signals Case I real Exponential

Basic Signals Case II real imaginary Exponential

Basic Signals Case II real imaginary Exponential

Basic Signals Exponential Complex plain

Basic Signals Practice

Basic Signals discrete

Basic Signals Exponential Practice -plain