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Reversal - Operations on Signals | Digital Signal Processing - Electronics and Communication Engineering (ECE) PDF Download
Whenever the time in a signal gets multiplied 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 amplitude of the signal is multiplied by -1.
Time Reversal
Whenever signal’s time is multiplied 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;
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 scaling also, but here the scaling quantity is (-1) always.
Amplitude Reversal
Whenever the amplitude of a signal is multiplied by -1, then it is known as amplitude reversal. In this case, the signal produces its mirror image about X-axis. Mathematically, this can be written as;
Consider the following example. Amplitude reversal can be seen clearly.
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FAQs on Reversal - Operations on Signals - Digital Signal Processing - Electronics and Communication Engineering (ECE)
| 1. What are some common operations performed on signals? |  |
Ans. Common operations performed on signals include filtering, modulation, demodulation, amplification, and frequency shifting.
| 2. How does signal filtering work? | |
Ans. Signal filtering involves removing or attenuating unwanted frequencies from a signal while preserving the desired frequencies. This is typically achieved using filters, such as low-pass, high-pass, band-pass, or band-stop filters.
| 3. What is modulation and demodulation of signals? | |
Ans. Modulation is the process of encoding information onto a carrier signal, typically by varying its amplitude, frequency, or phase. Demodulation, on the other hand, is the process of extracting the original information from the modulated carrier signal.
| 4. How does amplification of signals work? | |
Ans. Signal amplification involves increasing the amplitude or power level of a signal. This can be achieved using amplifiers, which amplify the input signal without significantly distorting its original waveform.
| 5. What is frequency shifting in signal processing? | |
Ans. Frequency shifting involves changing the frequency content of a signal. This can be done by adding or subtracting a fixed frequency offset to the original signal, resulting in a shifted frequency spectrum. Frequency shifting is commonly used in applications such as frequency translation and mixing.
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