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gluon
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Can someone tell me how i can determine the one degree peak from power spectrum ?
This post is useful for the plots, and has a good description of how the power spectrum is derived:gluon said:Can someone tell me how i can determine the one degree peak from power spectrum ?
One degree is the "sound horizon", which is the distance that sound waves in the CMB were capable of traveling since the big bang.gluon said:the temperature difference at 1 degree why is so big?it measures the difference between two points that the sound wave have reached at the time of recombination or from the initial overdense which became underdense and the point that the wave have reached at the time of recombination?
Why would it be zero?gluon said:and why the temprature difference is big?the temprature difference of two points of sound horizon isn t zero ?
Not just overtones. Different waves at the same wavelength. At ##\ell = 180##, there are 361 different possible orientations for the waves. Each of those orientations will have its own randomized amplitude.gluon said:yes i know its the overtone modes which are at smaller angles.but in the fundumental mode if i measure the temprature difference between two points which is diametrically opposite in the sound horizon, this spherical shell ,with the center in the initial overdense region ,isn't have the same density and thus the same temprature?
A "One Degree Peak" in a Power Spectrum refers to a specific peak or spike in the graph that represents a specific frequency or wavelength in a signal's power spectrum. It is important because it can provide valuable information about the underlying processes or patterns in the signal.
To find the One Degree Peak in a Power Spectrum, you first need to plot the power spectrum of the signal using a mathematical technique called Fourier transform. Then, you can visually identify the peak or use mathematical algorithms to locate the exact frequency or wavelength of the peak.
Finding the One Degree Peak in a Power Spectrum is important in scientific research because it can provide insight into the underlying processes or patterns in a signal. This information can be used to better understand and analyze data, make predictions, and develop models or theories.
The location and size of the One Degree Peak in a Power Spectrum can be influenced by various factors such as the type of signal, the sampling rate, noise in the data, and the length of the signal. It is important to consider these factors when analyzing the power spectrum to ensure accurate results.
Yes, the One Degree Peak in a Power Spectrum can be used to identify specific features or patterns in a signal. For example, it can be used to identify the dominant frequency in a signal, which can correspond to certain physical processes or phenomena. Additionally, the shape and size of the peak can provide information about the variability or complexity of the signal.