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salil87
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Hi
Just wanted to know if negative frequency has any significance?
Thanks
Salil
Just wanted to know if negative frequency has any significance?
Thanks
Salil
salil87 said:Just wanted to know if negative frequency has any significance?
DragonPetter said:Negative frequency usually has more importance if you're considering phase information than if you're considering just magnitude.
For example, you can reconstruct a digital image completely from its 2D spectrum magnitude, where you get rid of the complex numbers and therefore are ignoring phase information.
rbj said:i don't know if that is true.
i don't believe that is true at all. you can really mess up a digital image by ditching the phase information. in fact, by setting the phase information to zero, a general image (which would not normally have symmetry about either the horizontal or vertical axis) would become even symmetrical about both axes.
now there are these transforms called the Discrete Cosine Transform, but the model image is one where you reflect the image about both axes to make it even symmetry (this quadruples the area). then you can represent it with cosine terms where the sign of frequency makes no difference.
DragonPetter said:Hmm I'm not sure what I've done. I used the 2D fast Fourier transform and when I take the magnitude of this, which loses all phase information, and then do the inverse Fourier transform, I get the image back again.
Edit: I guess magnitude is still using the phase.
Negative frequency refers to a frequency that is below zero on a graph or chart. In scientific studies, negative frequency can indicate a decrease or absence of a particular event or phenomenon. It is significant because it allows for a more accurate representation and analysis of data, particularly in cases where negative values are possible.
Negative frequency can be used in statistical analysis to calculate probabilities and make predictions. It is commonly used in fields such as economics, finance, and physics to analyze data and make informed decisions based on the presence or absence of certain events or variables.
Negative frequency has numerous real-world applications, including in signal processing, circuit analysis, and quantum mechanics. It is also used in fields such as market research, where negative frequencies can represent a decrease in consumer demand or interest in a product or service.
Negative frequency can impact the interpretation of data by providing a more complete picture of a phenomenon or event. It allows for the representation of both positive and negative values, which can reveal patterns and trends that may not be visible if only positive frequencies were considered. It is important to carefully consider negative frequencies in data analysis in order to avoid drawing incorrect conclusions.
While negative frequency can be a valuable tool in data analysis, it is important to note that it may not always accurately reflect reality. For example, in certain situations, negative frequency may not be possible or may be influenced by external factors that are not accounted for in the data. In addition, interpreting negative frequencies can be more complex and may require specialized knowledge or techniques.