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dexterdev
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Why sine wave is the basic building block signal to make other signals?
Not any other wave.
-Devanand T
Not any other wave.
-Devanand T
Why sine wave is the basic building block signal to make other signals?
Not any other wave.
But no the building block of waves according to now science is the complex exponential infinite series.
ZVdP said:As said, you can decompose a wave into other functions as well, but why do we use sine waves (most of the time) then ?
Ah yes, I forgot that's a useful property as well. My post concerned LTI system theory, while the derivative property can be very useful indeed in wave mechanics (eliminating the partial derivatives).carlgrace said:We use sine waves simply because they make the math
*why are they easy? One big reason: exponential is its own derivative, and d/dt(cos(t)) = -sin(t)
The sine wave is considered the most fundamental signal in signal processing because it is a simple, repetitive waveform that can be easily generated and manipulated. It is also a pure tone, meaning it only contains a single frequency, making it easier to analyze and understand.
The sine wave is used to create other signals through a process called modulation. This involves varying the amplitude, frequency, or phase of the sine wave to produce different types of signals such as square waves, triangle waves, and sawtooth waves.
Using a sine wave as a building block signal offers several advantages. Sine waves are easy to generate and manipulate, making them versatile for a variety of applications. They also have a smooth and consistent shape, which makes them ideal for carrying information in communication systems.
Yes, other waveforms such as square waves, triangle waves, and sawtooth waves can also be used as building blocks for signals. However, these waveforms are more complex and may require more advanced techniques to generate and manipulate compared to the simple sine wave.
The sine wave is closely related to the concept of harmonics. When a sine wave is modulated to produce other signals, it creates harmonics, which are multiples of the original frequency. These harmonics are important for understanding the characteristics of a signal and are used in various signal processing techniques.