Question about single tone signals

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The discussion centers on the bandwidth of single tone signals, specifically cosine signals. It is noted that the Fourier Transform of a cosine signal results in delta functions at the signal's frequency, suggesting that its bandwidth is zero since it occupies only a single frequency in the frequency domain. Participants agree that an infinite tone indeed has zero bandwidth. Additionally, it is acknowledged that delta functions appear at both positive and negative frequencies. Therefore, single tone signals are characterized by having zero bandwidth.
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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.
 
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