What is Sinusoidal Signal ?

Sinusoidal are the most smooth signals with no abrupt variation in their amplitude, the amplitude witnesses gradual change with time. Sinusoidal signals can be defined as a periodic signal with waveform as that of a sine wave. The amplitude of sine wave increase from a value of 0 at 0° angle to a maximum value of 1 at 90° , it further reaches its minimum value of -1 at 270° and then return to 0 at 360° . After any angle greater than 360° , the sinusoidal signal repeats the values so we can say that time period of sinusoidal signal is 2π i.e. 360°.

If we want to observe the variation in the amplitude of sinusoidal signal with varying angle, we can plot a graph as shown below.

sine wave

If we observe the graph, we can see that the amplitude varying gradually with a maximum value of 1 and a minimum value of -1. We can also observe that the wave begins to repeat its value after a time period or angle value of 2π hence periodicity of sinusoidal signal is 2π.

Sinusoidal Signal

Sinusoidal Signal is an important tool in the electronic industry. They are ubiquitous in modern electronics and are almost used in every daily appliance for input as Voltage, Current, and power amplifiers. In this article, we will study what a sinusoidal signal, how does it look like. We will also represent the Sinusoidal signal mathematically. Later we will discuss the need of having Sinusoidal signal and some applications of Sinusoidal Electronic Signal. We will conclude the article by summing up what we have learned. The electronics industry especially the communication system uses these signals in various circuits and readers can read about these other signals as well.

Table of Content

  • Sinusoidal Signal
  • Primary Technologies
  • Sinusoidal Signal Analysis
  • Characteristics
  • Importance
  • Applications
  • Solved Examples

Similar Reads

What is Sinusoidal Signal ?

Sinusoidal are the most smooth signals with no abrupt variation in their amplitude, the amplitude witnesses gradual change with time. Sinusoidal signals can be defined as a periodic signal with waveform as that of a sine wave. The amplitude of sine wave increase from a value of 0 at 0° angle to a maximum value of 1 at 90° , it further reaches its minimum value of -1 at 270° and then return to 0 at 360° . After any angle greater than 360° , the sinusoidal signal repeats the values so we can say that time period of sinusoidal signal is 2π i.e. 360°....

Primary Technologies of Sinusoidal Signal

Let us define some useful terms that are necessary for studying Sinusoidal signals. These are sinusoidal signal parameters:...

Mathematical Representation of Sinusoidal Signal

If we use mathematics to represent a sinusoidal function, we can represent a sinusoidal signal . We can take idea from the way that a normal sine wave is represented as sin(x)...

Sinusoidal Signal Analysis

Let us use mathematical tools like Fourier series to do analysis of Sinusoidal signal...

Characteristics of Sinusoidal Signal

On studying the sinusoidal signal we can study some properties of sinusoidal signal as:...

Importance of Sinusoidal Signal

Sinusoidal signals are inevitably needed everywhere in electrical and electronics engineering, apart from this they are also used in researches related to physics. The sinusoidal signals are so crucial as performing mathematical operation like sum, subtraction, multiplication, differentiation, integration, etc. on a sinusoidal signal results in a sinusoidal signal....

Applications of Sinusoidal Signal

Sinusoidal signal being an a signal of extreme importance has various applications in the electronics industry ,lets study some of them...

Conclusion

As we have seen that sinusoidal signals play an important role in modern electronics. We have already discussed the periodic nature of these signals along with other properties. As we discuss the uses of this signal we realize it is used in modulating signals and as an input signal to various circuits in communication system for various purposes. These applications signify the need to find appropriate methods to analyze sinusoidal signals. There are different methods we can use to analyze the signals and . There are various signals other than sinusoidal signals each used for a different purpose....

FAQs on Sinusoidal Signal

What is a non-sinusoidal signal?...