PPT-Sampling Theory and Practice: 50 Ways to Sample your Signal

Martin Vetterli EPFL amp UC Berkeley BOAT WAKE Pete Turner 1 Acknowledgements Sponsors and supporters NSF Switzerland thank you Conference organizers Akihiko Sugiyama in particular. Husheng Li. The University of Tennessee. Chopper Sampling . We introduce a switching function such that . x_s. (t)=x(t)s(t), where. Nyquist. Criterion. The sampling rate should be at least twice the bandwidth of the signal, in order to fully reconstruct the signal.. Big Question: How do you know when you have collected enough data and done it appropriately?. Today’s Agenda. Tips and Tricks. Article Review Discussion. Assignment for Feb 24. Sampling Review. Observation Approaches (Qualitative/ Quantitative) and Practice. It is important that the sample selected be representative of the population from which it is taken so that inferences about the population are the best that they can be.. Probability Sampling Methods. and . Introduction to Experimental Design. Simple Random Sample:. n. measurements from a population . Population subset. Selected such that:. Every sample of size . n. from the population has an equal chance of being selected. Stats Day 2014. Jason Ellwood. Otumoetai. College. Today... A look through, and go at, . some. . activities designed to give students visual and conceptual . appreciation . of what sampling variation is and how it impacts on statistical investigation in 91264. J. D. Johnston. Factotum. An . Audio Company. THERE IS ONE RULE IN THIS TALK. If you don’t get what’s going on:. ASK A QUESTION!. DO NOT WAIT. But first, a word from our sponsor, the Shannon Sampling Theorem. ADC Types. EE174 – SJSU. Tan Nguyen. A continuous-time signal . x. (. t. ) with frequencies no higher than . f. max. can be reconstructed from its samples . x. [. n. ] = . x. (. nT. s. ) if the samples are taken at a proper sampling frequency . x(t. ). x~(t. ). Sound is audible in 20 Hz to 20 kHz range:. . f. max. = 20 kHz and the Nyquist rate 2 . f. max. = 40 kHz . What is the extra 10% of the bandwidth used?. Rolloff. from passband to stopband in the magnitude response of the anti-aliasing filter. How do Sociologists choose the participants for their research?. Starter. Think. - Work independently for 2 minutes to write in as many key concepts into the worksheet as you can. . Pair. - Now, work in a pair with the person sitting next to you for 2 minutes and help each other with any key concepts you couldn't do on your own.. Parameter & Statistic. Parameter. Summary measure about population. Sample Statistic. Summary measure about sample. P. . in. . P. opulation. . &. . P. arameter. S. . in. . S. ample. . How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . General Sampling Issues. Thinking of the steps in sampling (from theoretical population to respondents)—what are some biases that can come in at each point?. What is the proximity similarity model? What are issues with that model?. as your field technicians.. Jeff Martin, Astrea Taylor, . & Nancy Zikmanis. Next Phase of the Project Life Cycle. PLANNING:. . SAMPLING:. . ASSESSMENT:. EVALUATION: . Plan for data collection using the DQO . . USDA-NRCS. 1. Field . procedures consist . of three parts:. Erosion assessment:. % bare soil. Soil compaction assessment:. % area compacted. Compaction type. Soil sampling:. Forest floor and litter thickness.