Editing Upsampling (section)

==References==
{{reflist|refs=
<ref name=Oppenheim>
{{cite book |first1=Alan V. |last1=Oppenheim |authorlink=Alan V Oppenheim |first2=Ronald W. |last2=Schafer |first3=John R. |last3=Buck |title=Discrete-Time Signal Processing |edition=2nd |chapter=4.6.2 |publisher=Prentice Hall |location=Upper Saddle River, N.J. |year=1999 |isbn=0-13-754920-2 |page=172 |chapter-url-access=registration |chapter-url=https://archive.org/details/discretetimesign00alan/page/172
}}</ref>

<ref name=Crochiere>
{{cite book |last1=Crochiere |first1=R.E. |last2=Rabiner |first2=L.R. |authorlink2=Lawrence Rabiner |title=Multirate Digital Signal Processing |year=1983 |chapter=2.3 |pages=35–36 |publisher=Prentice-Hall |location=Englewood Cliffs, NJ |isbn=0136051626 |url=https://kupdf.net/download/multirate-digital-signal-processing-crochiere-rabiner_58a7065b6454a7e80bb1e993_pdf
}}</ref>

<ref name=Poularikas>
{{cite book |last=Poularikas |first=Alexander D. |title=Handbook of Formulas and Tables for Signal Processing |publisher=CRC Press |edition=1 |date=September 1998 |pages=42–48 |isbn=0849385792
}}</ref>

<ref name=f.harris>
{{cite book |last=Harris |first=Frederic J. |authorlink=Fredric J. Harris |title=Multirate Signal Processing for Communication Systems |publisher=Prentice Hall PTR |location=Upper Saddle River, NJ |date=2004-05-24 |chapter=2.2 |pages=20–21 |isbn=0131465112 |quote=The process of up sampling can be visualized as a two-step progression. The process starts by increasing the sample-rate of an input series x(n) by resampling [expansion].  The zero-packed time series is processed by a filter h(n).  In reality the processes of sample-rate increase and bandwidth reduction are merged in a single process called a multirate filter.
}}</ref>

<ref name=Strang>
{{cite book |last1=Strang |first1=Gilbert |authorlink=Gilbert Strang |title=Wavelets and Filter Banks |publisher=Wellesley-Cambridge Press |location=Wellesley, MA |isbn=0961408871 |page=[https://archive.org/details/waveletsfilterba00stra/page/101 101] |url=https://archive.org/details/waveletsfilterba00stra |url-access=registration |quote=the Noble Identities apply to each polyphase component ... they don't apply to the whole filter. |first2=Truong |last2=Nguyen |edition=2 |date=1996-10-01
}}</ref>

<ref name=LiTan>
{{cite web 
|url=https://www.eetimes.com/multirate-dsp-part-1-upsampling-and-downsampling/ |title=Upsampling and downsampling |last=Tan |first=Li |date=2008-04-21 
|website=eetimes.com |publisher=EE Times |access-date=2024-06-27 |quote= chapter 12.1.2, figure 12-5B
}}</ref>

<ref name=Lyons>
{{Cite web |last=Lyons |first=Rick |date=2015-03-23 |title=Why Time-Domain Zero Stuffing Produces Multiple Frequency-Domain Spectral Images |url=https://www.dsprelated.com/showarticle/761.php |url-status=live |archive-url=https://web.archive.org/web/20230930093550/https://www.dsprelated.com/showarticle/761.php |archive-date=2023-09-30 |access-date=2024-01-31 |website=dsprelated.com}}</ref>
}}