Transform Techniques in Chemistry 1978
DOI: 10.1007/978-1-4684-2403-4_7
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Hadamard Transform Analytical Systems

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Cited by 43 publications
(72 citation statements)
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“…Figure 3A shows the encoding sequence used for the multiplexed IMS-TOF MS experiments. The important difference between this sequence and the conventional encoding sequences used in HT photospectrometry, 20 HT-TOF MS, 25 HT-CE 24 and HT-IMS 27 is that the adjacent digital `1' events (i.e., "gate open" events) in our sequence are separated by `0' events (i.e., "gate closed" events), while a typical encoding sequence in HT experiments has combinations of consecutive `1' events.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Figure 3A shows the encoding sequence used for the multiplexed IMS-TOF MS experiments. The important difference between this sequence and the conventional encoding sequences used in HT photospectrometry, 20 HT-TOF MS, 25 HT-CE 24 and HT-IMS 27 is that the adjacent digital `1' events (i.e., "gate open" events) in our sequence are separated by `0' events (i.e., "gate closed" events), while a typical encoding sequence in HT experiments has combinations of consecutive `1' events.…”
Section: Resultsmentioning
confidence: 99%
“…HT has been extensively used in optical spectrometry for over five decades. 20 The concept of measuring different bundles of objects by weighing them in groups rather than individually was first proposed by Fellgett, and the resulting increase in accuracy is sometimes called the Felgett or multiplex advantage. 21,22 If spectral line intensities are simultaneously detected in N measurements, the theoretical increase in SNR over a single measurement is then expected to be .…”
Section: Introductionmentioning
confidence: 99%
“…PRS sequences were derived as described elsewhere. 20 A typical 6-bit PRS comprises a combination of digital '1' and '0' elements as follows:…”
Section: Signal Encoding and Detectionmentioning
confidence: 99%
“…One of the most promising multiplexing approaches that give rise to sensitivity enhancement for all species in the course of signal detection experiment is based on Hadamard transform (HT). 20 In general, if signals are simultaneously detected in N measurements characterized by the uncorrelated noise, the theoretical increase in SNR over a single measurement is expected to be . By modulating a continuous beam from the ESI source with a Bradbury-Nielsen gate in an atmospheric-pressure IMS instrument (without MS), up to 6-fold increase in sensitivity has recently been reported in HT-IMS measurements.…”
Section: Introductionmentioning
confidence: 99%
“…Complete descriptions of the matrices used for encoding the ion beam and of the inverse Hadamard transform used to deconvolute the raw data are found in the work by Harwit et al [12,19] and Wilhelmi et al [20] Crucial to HT-TOFMS, and all other HT techniques, is consistency between the matrices used in the encoding and decoding steps. A data set x is encoded with an n x n simplex matrix, S n , yielding a convoluted data set z.…”
Section: Impulse Response Modelingmentioning
confidence: 99%