In signal processing, the Nyquist rate, named after Harry Nyquist, is a value (in units of samples per second or hertz, Hz) equal to twice the highest frequency (bandwidth) of a given function or signal. When the function is digitized at a higher sample rate (see § Critical frequency), the resulting discrete-time sequence is said to be free of the distortion known as aliasing. Conversely, for a given sample-rate the corresponding Nyquist frequency in Hz is one-half the sample-rate. Note that the Nyquist rate is a property of a continuous-time signal, whereas Nyquist frequency is a property of a discrete-time system. The term Nyquist rate is also used in a different context with units of symbols per second, which is actually the field in which Harry Nyquist was working. In that context it is an upper bound for the symbol rate across a bandwidth-limited baseband channel such as a telegraph line or passband channel such as a limited radio frequency band or a frequency division multiplex channel. (Wikipedia).
Engage NY Grade 8 Math Sample 60
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Shannon Nyquist Sampling Theorem
Follow on Twitter: @eigensteve Brunton's website: https://eigensteve.com This video discusses the famous Shannon-Nyquist sampling theorem, which discusses limits on signal reconstruction given how fast it is sampled and the frequency content of the signal. For original papers: Shannon
From playlist Sparsity and Compression [Data-Driven Science and Engineering]
Fourier transform frequencies and zero-padding
The final thing to know about the Fourier transform is how to convert unit-indices to frequencies in Hz. You will also learn about frequency resolution and how to increase resolution by zero-padding. Patrick McGoohan makes another guest appearance. The video uses files you can download f
From playlist OLD ANTS #2) The discrete-time Fourier transform
Beating Nyquist with Compressed Sensing
This video shows how it is possible to beat the Nyquist sampling rate with compressed sensing (code in Matlab). Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 3 from: "Data-Driven Science and Engineering: Machine Learning,
From playlist Sparsity and Compression [Data-Driven Science and Engineering]
Frequencies in the Fourier transform
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Frequency resolution and zero-padding
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Beating Nyquist with Compressed Sensing, in Python
This video shows how it is possible to beat the Nyquist sampling rate with compressed sensing (code in Python). Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 3 from: "Data-Driven Science and Engineering: Machine Learning,
From playlist Sparsity and Compression [Data-Driven Science and Engineering]
Positive and negative frequencies
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Lec 36 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 36: Sampling Theorem License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
How MRI Works - Part 3 - Fourier Transform and K-Space
How MRI works, Part 3 - The Fourier Transform and k-Space Part 1: https://youtu.be/TQegSF4ZiIQ Part 2: https://youtu.be/M7yh0To6Wbs FFT code: https://github.com/thePIRL/fft-code-for-fun/blob/main/FFT%20code 0:00 - Intro 1:00 - The Sinusoid and phasors 5:48 - Fourier Theory 9:05 - The Fo
From playlist Summer of Math Exposition 2 videos
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From playlist Calculus
Lec 12 | MIT 6.450 Principles of Digital Communications I, Fall 2006
Lecture 12: Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation View the complete course at: http://ocw.mit.edu/6-450F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at ht
From playlist MIT 6.450 Principles of Digital Communications, I Fall 2006