doi <>/Rect[327.696 294.191 347.374 282.024]/H/N/AP<>>> robots The analysis of decimation and interpolation in the linear canonical transform domain Shuiqing Xu1*, Yi Chai 1,2, ... optical systems and many signal processing applications. 3.2 Multistage 3.2.1 Can I interpolate in multiple stages? Application of transposition to decimation and interpolation in digital signal processing systems Abstract: A method that was recently developed for describing linear time-varying digital systems in the frequency domain will be applied to decimators and interpolators. Text 2010-04-23 CrossMarkDomains endobj 2016-10-12T16:28:20+05:30 2.1.5 Which signals can be downsampled? An obvious way to combine them in time is to interlace the samples, with every other sample belonging to the same channel, called time division multiplexing (TDM). pdfToolbox Decimation would be to opposite. 2016-10-12T16:27:33+05:30 true ISSN for an electronic version of the issue in which the resource occurs. 63 0 obj external The decimation (also called "down-sampling") operation ↓ R means discard all but every R th sample, resulting in an output sample rate of f s ,out = f s ,in / R . Shuiqing Xu 61 0 obj In FDM, the information channels are mixed in a complicated way in the time domain because of the modulation of sinusoids, but the channels are quite separate in the frequency domain. internal <>/Rect[377.254 562.891 402.087 550.724]/H/N/AP<>>> external Text Fill in your details below or click an icon to log in: You are commenting using your account. 54 0 obj internal In Section 111 we dis- Linear canonical transform,Decimation and interpolation,Polyphase network,Differential filter Motivated by a recent work of Tsaig, Elad, Milanfar, and Golub (TEMG), in this paper we investigate several techniques for the design of optimal decimation and interpolation filters that can be utilized in a TEMG type system framework for further performance improvement, where the DCT-based JPEG standard is used in conjunction with a decimation filter and an interpolation filter. Lizhe Tan, Jean Jiang, in Digital Signal Processing (Third Edition), 2019. pdfToolbox , for each band. <>/Rect[328.52 605.341 348.199 593.174]/H/N/AP<>>> Next, we review application of oversampling ADC in industry. Change ), You are commenting using your Google account. DOI 55 0 obj true 5 0 obj 2193-1801 57 0 obj Linear canonical transform endobj It is interesting to note that during the convolution process the sinc operator in the time domain appropriately has its zeros aligned with the unknown midpoints except at the point currently being interpolated; every interpolated point is a linear combination of all other original points, weighted by the sinc function; see Fig 1f. In our example of Fig 2b, the upper half of the Nyquist interval has been filtered out with an appropriate filter. (The original meaning of the word decimation comes from losing one-tenth of an army through battle or from self-punishment; we apply it to data using various reduction ratios.) 2. URI Of course, interpolation and decimation can occur in frequency as well as time. Decimation, or downsampling, is the reverse operation of the sinc interpolation. uuid:601f7e65-6826-439f-a85d-73722f73fc46 Text
2020 application of decimation and interpolation