Question about single tone signals

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In summary, the bandwidth of single tone signals is zero due to the fact that taking the Fourier Transform for a cosine signal results in a delta at the signal's frequency, indicating that it is only occupying a single frequency in the frequency domain. This means that there is no spread of frequencies and therefore, the bandwidth is zero.
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mazen_zone
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what is the bandwidth of single tone signals?

taking the F.T. for a cosine signal gives a delta at the signal's frequency, so does it mean that its bandwidth is zero since it is occupying only a single freq. in the FD.
 
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mazen_zone said:
what is the bandwidth of single tone signals?

taking the F.T. for a cosine signal gives a delta at the signal's frequency, so does it mean that its bandwidth is zero since it is occupying only a single freq. in the FD.

You get deltas at both the positive and negative frequencies, right? And yes, I believe it would be correct to say that an infinite tone has zero BW.
 

1. What is a single tone signal?

A single tone signal is a type of signal that contains only one frequency component. This means that the signal has a constant amplitude and only one specific frequency, instead of a range of frequencies like a complex signal.

2. How is a single tone signal different from a complex signal?

A single tone signal only contains one frequency component, while a complex signal contains multiple frequency components. This means that a single tone signal has a constant amplitude and a specific frequency, while a complex signal has varying amplitudes and a range of frequencies.

3. What applications use single tone signals?

Single tone signals are commonly used in telecommunications, audio signal processing, and in scientific research. They can also be used in electronic devices for tuning, filtering, and modulation purposes.

4. How are single tone signals generated?

Single tone signals can be generated using electronic devices such as signal generators or by using mathematical algorithms. They can also be created by filtering out specific frequencies from a complex signal.

5. What are the advantages of using single tone signals?

Single tone signals have a simple and predictable nature, making them easier to analyze and process compared to complex signals. They also have a higher signal-to-noise ratio, making them more reliable for communication purposes.

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