The quantity ½ cycles/sample × f s samples/sec = f s/2 cycles/sec ( hertz) is known as the Nyquist frequency of the sampler. That fidelity is reduced when s( t) contains frequency components whose periodicity is smaller than two samples or equivalently the ratio of cycles to samples exceeds ½ (see Aliasing). But the fidelity of a theoretical reconstruction is a customary measure of the effectiveness of sampling. Most sampled signals are not simply stored and reconstructed. That purely mathematical abstraction is sometimes referred to as impulse sampling. Mathematically, the modulated Dirac comb is equivalent to the product of the comb function with s( t). When the time interval between adjacent samples is a constant ( T), the sequence of delta functions is called a Dirac comb. The Whittaker–Shannon interpolation formula is mathematically equivalent to an ideal low-pass filter whose input is a sequence of Dirac delta functions that are modulated (multiplied) by the sample values. Reconstructing a continuous function from samples is done by interpolation algorithms. Its units are samples per second or hertz e.g. The sampling frequency or sampling rate, f s, is the average number of samples obtained in one second, thus f s = 1/T. Then the sampled function is given by the sequence : s( nT), for integer values of n. Sampling can be done for functions varying in space, time, or any other dimension, and similar results are obtained in two or more dimensions.įor functions that vary with time, let s( t) be a continuous function (or "signal") to be sampled, and let sampling be performed by measuring the value of the continuous function every T seconds, which is called the sampling interval or the sampling period. Items not removed after 7 Days will be considered abandoned and will be sold for storage fees with the buyer recieving a credit for the amount minus any storage fees.See also: Nyquist–Shannon sampling theorem All items must be picked up by Monday at 5 PM or a 10% or $5 storage fee will be charged Whichever is greater. Livestream video of the auctioneer is considered for entertainment purposes only and is not guaranteed to be in real-time due to internet lag.ĩ. Matthews Auctioneers reserves the right to extend, postpone or cancel the sale at any time before the close of bidding.Ĩ. All fees associated with ACH or wire transfer are the sole responsibility of the buyer. A minimum $500 non-refundable deposit is required on all purchases above $2000 with full Payment being made within one business day after the closing of the sale. ACH is accepted on large purchases over $2000. The credit card you registered with will be charged by 10 AM Saturday unless you request otherwise. Items must be paid for within 24HRS of Auction Close. 10% Buyers Premium charged on all purchases.ĥ. The buyer is responsible for paying sales tax on titled vehicles at the state DMV.Ĥ. Sales Tax is not charged by Matthews Auctioneers on any Titled vehicles. If you are sales tax exempt you will need to produce a sales tax certificate either before bidding or at pickup. 5.3% VA Sales tax will be charged on all applicable purchases. Some items may be sold subject to seller confirmation.ģ. Matthews Auctioneers reserves the right to accept or reject any bid at their sole discretion for any reason. Only exceptions will be in the item description.Ģ. By placing a bid, the bidder signifies that they have examined the items to their satisfaction, or that they have chosen not to personally examine them. All bidders are encouraged to preview items before purchase. All item descriptions are believed accurate but are not guaranteed. All Items Sold AS-IS Where-IS with no warranty and no return.
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