Digital Signal Processing Tutorial
Operations on Signals
Basic System Properties
Z-Transform
Discrete Fourier Transform
Fast Fourier Transform
Digital Signal Processing Resources
Selected Reading
- DSP - Miscellaneous Signals
- DSP - Classification of DT Signals
- DSP - Classification of CT Signals
- DSP - Basic DT Signals
- DSP - Basic CT Signals
- DSP - Signals-Definition
- DSP - Home
Operations on Signals
- Operations Signals - Convolution
- Operations Signals - Integration
- Operations Signals - Differentiation
- Operations Signals - Reversal
- Operations Signals - Scaling
- Operations Signals - Shifting
Basic System Properties
- DSP - Solved Examples
- DSP - Unstable Systems
- DSP - Stable Systems
- DSP - Time-Variant Systems
- DSP - Time-Invariant Systems
- DSP - Non-Linear Systems
- DSP - Linear Systems
- DSP - Anti-Causal Systems
- DSP - Non-Causal Systems
- DSP - Causal Systems
- DSP - Dynamic Systems
- DSP - Static Systems
Z-Transform
- Z-Transform - Solved Examples
- Z-Transform - Inverse
- Z-Transform - Existence
- Z-Transform - Properties
- Z-Transform - Introduction
Discrete Fourier Transform
- DFT - Solved Examples
- DFT - Discrete Cosine Transform
- DFT - Sectional Convolution
- DFT - Linear Filtering
- DTF - Circular Convolution
- DFT - Time Frequency Transform
- DFT - Introduction
Fast Fourier Transform
Digital Signal Processing Resources
Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Operations Signals - Reversal
DSP - Operations on Signals Reversal
Whenever the time in a signal gets multipped by -1, the signal gets reversed. It produces its mirror image about Y or X-axis. This is known as Reversal of the signal.
Reversal can be classified into two types based on the condition whether the time or the ampptude of the signal is multipped by -1.
Time Reversal
Whenever signal’s time is multipped by -1, it is known as time reversal of the signal. In this case, the signal produces its mirror image about Y-axis. Mathematically, this can be written as;
$$x(t) ightarrow y(t) ightarrow x(-t)$$This can be best understood by the following example.
In the above example, we can clearly see that the signal has been reversed about its Y-axis. So, it is one kind of time scapng also, but here the scapng quantity is (-1) always.
Ampptude Reversal
Whenever the ampptude of a signal is multipped by -1, then it is known as ampptude reversal. In this case, the signal produces its mirror image about X-axis. Mathematically, this can be written as;
$$x(t) ightarrow y(t) ightarrow -x(t)$$Consider the following example. Ampptude reversal can be seen clearly.
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