Amplitude Scaling of Signals
Amplitude scaling is the amplification or attenuation of the signal. By using amplitude scaling, we can increase or decrease the strength or gain of the signal, which depends on the scaling factor.
The scaling factor is ‘ A ‘ then the amplitude scaled signal can be represented as Ax( t) where A is a positive value.
if A>1 ; signal is Amplified
0< A<1 ; signal is Attenuated
Example – A signal is x(t) shown below. find y1(t) = 2x(t) and y2(t) = 0.5x(t) ?
x(t) = 1 ; [Tex] -2 \leq t \leq 1[/Tex]
0 ; otherwise
y1(t) = 2x(t) ,
y1(t) = 2 ; [Tex] -2 \leq t \leq 1[/Tex]
0 ; otherwise
y2(t) = 0.5x(t)
y2(t) = 0.5 ; [Tex]-2 \leq t \leq 1[/Tex]
0 ; otherwise
Graphically,
Basic Signal Operations
Basic signal operations are nothing but signal manipulation or modification tools that are used in signal processing and analysis. It helps to understand the signals in different situations. These operations allow the modification and enhancement of signals for specific applications.
In this article, we will discuss the basic signal operations and understand different operations related to the time and amplitude of the signal. In time transformations, we will cover time scaling, time shifting, and time reversal, and in amplitude transformations amplitude scaling of signals, amplitude reversal of signals, addition of signals, multiplication of signals, differentiation of signals and integration of signals. We also cover various advantages, disadvantages and applications of time and amplitude transformations.
Table of Content
- What are Basic Signal Operations?
- Classification
- Basic Signal Operations on Independent Variable Time
- Basic Signal Operations on Dependent Variable Amplitude
- Addition
- Multiplication
- Differentiation
- Integration