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Domnu
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The following link: http://electron6.phys.utk.edu/QM1/modules/m1/free_particle.htm mentions something about the Bessel-Parseval relation... could someone explain what this is exactly and how it works?
Domnu said:The following link: http://electron6.phys.utk.edu/QM1/modules/m1/free_particle.htm mentions something about the Bessel-Parseval relation... could someone explain what this is exactly and how it works?
The Bessel Parseval Relation is a mathematical equation that relates the coefficients of a Fourier series to the energy or power of a signal. It is also known as the Parseval's theorem or the Plancherel's theorem.
In signal processing, the Bessel Parseval Relation is used to calculate the energy or power of a signal by summing the squared magnitudes of its Fourier coefficients. It is also used to compare the energy or power of different signals.
Yes, the Bessel Parseval Relation can be applied to both continuous and discrete signals. For continuous signals, the integral form of the equation is used, while for discrete signals, the summation form is used.
The Bessel Parseval Relation holds true for signals that are square-integrable, meaning that the integral of the squared magnitude of the signal is finite. It also requires the signal to have a finite energy or power.
Yes, the Bessel Parseval Relation has many practical applications in various fields, including audio and image processing, data compression, and signal analysis. It is also used in the design and analysis of communication systems and electronic circuits.