1978
DOI: 10.1109/temc.1978.303679
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On a Real-Time Walsh-Hadamard/Cosine Transform Image Processor

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Cited by 52 publications
(14 citation statements)
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“…Other transforms which can be employed for image coding are the discrete Hartley transform (DHT) (Malvar 1987), Walsh-Hadamard transform (WHT) (Hein and Ahmed 1978), slant transform (ST), Haar transform (HT), discrete sine transform (DST), discrete Legendre transform (DLT) (Sahasrabudha et al 1982), Karhunen-Loeve transform (KLT), and hybrid transforms like the Slant-Haar and the HadamardHaar transform (HHT). Some of these transforms allow efficient implementations of the DCT by mapping it to these transforms.…”
Section: Transform Codingmentioning
confidence: 99%
“…Other transforms which can be employed for image coding are the discrete Hartley transform (DHT) (Malvar 1987), Walsh-Hadamard transform (WHT) (Hein and Ahmed 1978), slant transform (ST), Haar transform (HT), discrete sine transform (DST), discrete Legendre transform (DLT) (Sahasrabudha et al 1982), Karhunen-Loeve transform (KLT), and hybrid transforms like the Slant-Haar and the HadamardHaar transform (HHT). Some of these transforms allow efficient implementations of the DCT by mapping it to these transforms.…”
Section: Transform Codingmentioning
confidence: 99%
“…The chip was tested in a vision system connected to a robot arm that caught ping-pong balls as they were rolled across a table. An image processor used for image coding and video bandwidth compression was reported by Hein and Ahmed (1978). It implemented the Discrete Cosine, or Walsh-Hadamard transform, in real time.…”
Section: Vlsi Image Processing Chipsmentioning
confidence: 99%
“…Since the terms of a convergent series can be grouped in parenthesis in any manner to form new terms without altering the order of the terms and the resulting series has the same sum as the original series [5], equation (I4) can be written as (15) Consider Q(2qn/N)/2, given by…”
Section: Theorem: M6bius Inversion Of the Series Given By Equation (9mentioning
confidence: 99%
“…where/NI is the maximum integer < N. Since two convergent series can be added or subtracted term by term and the resulting series converges to the same value as the sum or difference of the original two series 1"5], and since the inner sums in equations (15) and (16) have a finite number of terms, subtracting (16) from (15) gets rid of all the terms with m even in the original series given by equation (14). Generalizing this process, Q(kqn/N)/k, k = 3, 4, 5 .... is given by (17) …”
Section: Theorem: M6bius Inversion Of the Series Given By Equation (9mentioning
confidence: 99%
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