- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

The process of rescaling the amplitude of a signal, i.e., the amplitude of the signal is either amplified or attenuated, is known as **amplitude scaling**. In the amplitude scaling operation on signals, the shape of the resulting signal remains
the as that of the original signal but the amplitude is altered (i.e., increased or decreased).

The amplitude scaling of a continuous time signal x(t) is defined as,

𝑦(𝑡) = 𝐴 𝑥(𝑡)

Where, A is a constant. If the value of A is greater than 1 (i.e., A > 1), the signal amplitude scaling is called the amplification of the signal while if A < 1, then the scaling is called the **attenuation of the signal**.

Figure-1 shows an arbitrary continuous-time signal x(t) and its amplitude scaled version y(t).

The amplitude scaling of a discrete time sequence x(n) is defined as,

𝑦(𝑛) = 𝑘 𝑥(𝑛)

Where, k is a constant. If k > 1, the scaling is called amplification of the signal, while if k < 1, the scaling is called **attenuation of the signal**.

An arbitrary discrete time sequence x(n) and its scaled version y(n) are shown in Figure-2.

Sketch the following continuous-time signal x(t) −

𝑥(𝑡) = Π(𝑡); 𝑦(𝑡) = 2 Π(𝑡)

𝑥(𝑡) = 𝑢(𝑡); 𝑦(𝑡) = −2𝑢(𝑡)

The given signal is a unit rect function, i.e.,

𝑥(𝑡) = Π(𝑡)

The amplitude scaled signal [𝑦(𝑡) = 2 Π(𝑡)] of the given signal is obtained by multiplying the amplitude of x(t) by 2 as shown in Figure-3. Here, it is to be noted that the value of scaling factor more than 1 (i.e., 2), hence the resulting signal will be an amplified signal.

The given signal is a unit step function, i.e.,

𝑥(𝑡) = 𝑢(𝑡)

Here, in order to obtain the scaled signal [𝑦(𝑡) = −2𝑢(𝑡)], the amplitude of the signal x(t) needs to be multiplied by (-2). Figure-4 shows the signals x(t) and y(t).

- Related Questions & Answers
- Signals and Systems – Time Scaling of Signals
- Signals and Systems: Multiplication of Signals
- Signals and Systems – Classification of Signals
- Signals and Systems: Addition and Subtraction of Signals
- Signals and Systems: Even and Odd Signals
- Signals and Systems: Periodic and Aperiodic Signals
- Signals and Systems: Energy and Power Signals
- Signals and Systems: Classification of Systems
- Signals and Systems: Real and Complex Exponential Signals
- Signals and Systems – Fourier Transform of Periodic Signals
- Signals and Systems – Properties of Even and Odd Signals
- Signals and Systems – Z-Transform of Sine and Cosine Signals
- Signals and Systems: Causal, Non-Causal, and Anti-Causal Signals
- Signals and Systems: Linear Time-Invariant Systems
- Signals and Systems: Linear and Non-Linear Systems

Advertisements