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SEO Keyword summary for en.wikipedia.org/wiki/nyquist%e2%80%93shannon_sampling_theorem
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long Tail Keywords (2 words) sampling theorem sample rate nyquistshannon sampling sidebar hide signal processing |
long Tail Keywords (3 words) nyquistshannon sampling theorem move to sidebar digital signal processing sampling of non-baseband criterion is not create account log class of functions |
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nyquistndashshannon sampling theorem wikipedia
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wikipedia free encyclopedia displaystyle bfs ttriangleq xntriangleq tcdot xnt triangleq int infty sum kinfty xleftfktrightsum ninfty fnt xaf xat text all fgeq xsf xfhfcdot begincases ffsbendcases fsb hfmathrm rect leftfrac ffsrightbegincases ffrac endcases mathrm xfmathrm ffsrightcdot tfcdot ntf xntcdot underbrace mathcal fleftmathrm sinc tnttrightright xtsum tnttright textstyle delta tnt xomega over eiomega trm domega bxomega lefttfrac omega rightb ttfrac xlefttfrac bright brm nth xnsinpi btn theta xtfrac cos bttheta costheta btsin bttantheta quad xntcospi nunderbrace sinpi tantheta sinxx fmathrm frac right operatorname ttrightnoperatorname nttright ftsum xnfrac sin wtnpi wtn xnfleftfrac wright sinxxixxi tfrac wikimedia foundation powered mediawiki
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nyquist found in path !
sampling found in path !
shannon found in path !
theorem found in path !
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wiki shannonhartley theorem
digital signal processing
frequency range
sample rate
distortion
aliasing
bandwidth
bandlimiting
signal processing
continuoustime signals
discretetime signals
mathematical functions
fourier transform
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piecewiseconstant
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periodic summation
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undersampling
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brickwall
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henry landau
spectrum
stability
necessary condition
linear optimization program
lossy
quantization
random signal
kpfmller karl
sine integral
claude e shannon
gabor
vladimir kotelnikov
bell labs
blackman r b
tukey j w
harold s black
oxford english dictionary
44100 hz
balianlow theorem
cheungmarks theorem
nyquist isi criterion
reconstruction from zero crossings
transform tables
arxiv
s2cid
wayback machine
isbn
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citeseerx
whittaker j m
jerri abdul
teknisk tidskrift
detection theory
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72fea09c112ef85f5b43db83c3cbbaf04d29b182 height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {sinc} (t/t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a4714e9705a33f56c9aab7b2797427d1d2301d22 height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle \sum _{n=-\infty }^{\infty }x(nt)\cdot \delta (t-nt),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cae1f70708a4c34eef8c74956b3975e5f919a057 height: height attribute not set width: width attribute not set description: {\displaystyle f_{s}=2b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f1ad6b0ad347d4b6b204815aabf621bd488934ca height: height attribute not set width: width attribute not set description: {\displaystyle x(\omega )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5e7134e3503eb73b953eee1e479bdb78cd3965d height: height attribute not set width: width attribute not set description: {\displaystyle x(t)={1 \over 2\pi }\int _{-\infty }^{\infty }x(\omega )e^{i\omega t}\;{\rm {d}}\omega ={1 \over 2\pi }\int _{-2\pi b}^{2\pi b}x(\omega )e^{i\omega t}\;{\rm {d}}\omega ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/98c10ea3f6727e355e2cf828c5f6de55ce0b0393 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\tfrac {\omega }{2\pi }}\right| |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/66286a7ebb871dffdfd2ea0e4ab2f5fcb875db50 height: height attribute not set width: width attribute not set description: {\displaystyle t={\tfrac {n}{2b}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f12621bccb6592e492a20bc00497bb7af50408fb height: height attribute not set width: width attribute not set description: {\displaystyle x\left({\tfrac {n}{2b}}\right)={1 \over 2\pi }\int _{-2\pi b}^{2\pi b}x(\omega )e^{i\omega {n \over {2b}}}\;{\rm {d}}\omega .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d54f58e8109a3d758d6712278b03f6aea6e696c height: height attribute not set width: width attribute not set description: {\displaystyle n^{th}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/04158df3c7ebcd93ab8e9a24d0910fd3e159ec86 height: height attribute not set width: width attribute not set description: {\displaystyle x(\omega ),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ac21f1abfa9648a95f4b9f18063d78811b6dd96 height: height attribute not set width: width attribute not set description: {\displaystyle -b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b8ec88334d4da278e2211035be716cb1bfdaa90 height: height attribute not set width: width attribute not set description: {\displaystyle x(n/2b)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0934736a90c4a0024e0d5f5adca804a19f58bc56 height: height attribute not set width: width attribute not set description: {\displaystyle x(\omega ).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ee43486fb3ee29227c2289634f1dfa658d05519e height: height attribute not set width: width attribute not set description: {\displaystyle x(t)=\sum _{n=-\infty }^{\infty }x_{n}{\sin(\pi (2bt-n)) \over \pi (2bt-n)}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/20246c9899396147e917e617b7374d85e5133281 height: height attribute not set width: width attribute not set description: {\displaystyle t=1/2b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6b88d1d5860a156a8d037603a4d66b105310404 height: height attribute not set width: width attribute not set description: {\displaystyle (t\cdot x(nt))} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/fb/moire_pattern_of_bricks_small.jpg/200px-moire_pattern_of_bricks_small.jpg height: 244 width: 200 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/moire_pattern_of_bricks.jpg/200px-moire_pattern_of_bricks.jpg height: 243 width: 200 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/criticalfrequencyaliasing.svg/220px-criticalfrequencyaliasing.svg.png height: 176 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4cb765fb3d5b3613a3eb83b4fbd95d72de5f3a64 height: height attribute not set width: width attribute not set description: {\displaystyle f_{s}>2b,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c908d007534542347b664765ebc3bc4586874fa height: height attribute not set width: width attribute not set description: {\displaystyle x(t)={\frac {\cos(2\pi bt+\theta )}{\cos(\theta )}}\ =\ \cos(2\pi bt)-\sin(2\pi bt)\tan(\theta ),\quad -\pi /2<\theta <\pi /2.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9c6631d2077a9d2836aeb48f4b005cb37b3beb21 height: height attribute not set width: width attribute not set description: {\displaystyle t=1/2b,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4fca5294f9b24e2a5c4912df25b450b1c729e629 height: height attribute not set width: width attribute not set description: {\displaystyle x(nt)=\cos(\pi n)-\underbrace {\sin(\pi n)} _{0}\tan(\theta )=(-1)^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/082e8402f1cbddec479b88e2ff0d1be5e9b95bd7 height: height attribute not set width: width attribute not set description: {\displaystyle \theta .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/98d76f1526010e4e3bb7f79bb186f1b40445c929 height: height attribute not set width: width attribute not set description: {\displaystyle \sin(x)/x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a6cd1515674178b5d3dc62353ce3d956e0a9b632 height: height attribute not set width: width attribute not set description: {\displaystyle x(f)=0,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61 height: height attribute not set width: width attribute not set description: {\displaystyle f} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/466da98144b99e3648a6dafe5060e6c59556a9e3 height: height attribute not set width: width attribute not set description: {\displaystyle \left({\frac {n}{2}}f_{\mathrm {s} },{\frac {n+1}{2}}f_{\mathrm {s} }\right),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3 height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c1d1e4b6f6a88f6e9ed53451300dc95126719b20 height: height attribute not set width: width attribute not set description: {\displaystyle n=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8f10fab5c7c525386029e1286d1a116485b258e6 height: height attribute not set width: width attribute not set description: {\displaystyle (n+1)\,\operatorname {sinc} \left({\frac {(n+1)t}{t}}\right)-n\,\operatorname {sinc} \left({\frac {nt}{t}}\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7cc90663922961e3434084a882824a824d39ae2f height: height attribute not set width: width attribute not set description: {\displaystyle eb} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/15fdeabd7bfb409ff399d217f013f7d0ef3715a7 height: height attribute not set width: width attribute not set description: {\displaystyle 2b.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7366fae996c374efc5c8eb13e12e48f32c8a8320 height: height attribute not set width: width attribute not set description: {\displaystyle 2eb.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5bf044fe2fbfc4bd8d6d7230f4108430263f9fd6 height: height attribute not set width: width attribute not set description: {\displaystyle f(t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fcfa4ac5e360d2b30fa313e9b7f984a197f3b3b6 height: height attribute not set width: width attribute not set description: {\displaystyle f(t)=\sum _{n=-\infty }^{\infty }x_{n}{\frac {\sin \pi (2wt-n)}{\pi (2wt-n)}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c2f05ba2ba627dfd209e2e4893ecf5fe5d180382 height: height attribute not set width: width attribute not set description: {\displaystyle x_{n}=f\left({\frac {n}{2w}}\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/743879b14d9d7a2feb9d696b6738789e0ae13fd4 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\sin(x-x_{i})}{x-x_{i}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03832e30fd9f64fb64ec053163ee4a64f498d681 height: height attribute not set width: width attribute not set description: {\displaystyle t={\frac {1}{2w}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e3e52f6de64b3b96ce1db5651329f808cca7d3b9 height: height attribute not set width: width attribute not set description: {\displaystyle w,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/27ceb03bae49f82bdeca5b4bb5c7557550dfff64 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{2b}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/8/83/symbol_template_class_pink.svg/16px-symbol_template_class_pink.svg.png height: 16 width: 16 description: no alt description found |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.png height: 31 width: 88 description: wikimedia foundation |
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http://en.wikipedia.org/static/images/footer/poweredby_mediawiki_88x31.png height: 31 width: 88 description: powered by mediawiki |
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