Image coding with windowed modulated filter banks

Kovačević, Jelena; Gall, D.J. Le; Vetterli, Martin

doi:10.1109/icassp.1989.266838

Cited by 28 publications

(19 citation statements)

References 9 publications

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“…Actually, w e j u s t n e e d t o c heck the external completeness, since the internal one is automatically granted by de nition (4).…”

Section: Problem Statementmentioning

confidence: 99%

“…In a discrete-time cosine modulated lter bank (CMFB), the generic basis function has the form g j k n] 4 = p 2w n ; Nj ] c o s k (n=N ; j + N ) j n 2 Z k = 0 1 : : : N; 1:…”

Section: Problem Statementmentioning

confidence: 99%

“…3 The framework 3.1 Vector spaces characterization: continuous time As a rst step, it is instrumental to \collect" together the functions g j k (t), k = 0 1 : : : , relative to the same translation j. L e t V j be the subspace of L 2 (R) generated by their linear combinations, that is V j 4 = span fg j k g k2N : (4) With this de nition of V j , orthonormality of functions g j k can be split into two types of orthogonality:…”

Section: Problem Statementmentioning

confidence: 99%

“…In continuous time, a local cosine basis (LCB) is made of functions g j k (t) 4 = p 2 w(t ; j) cos k (t ; j) j 2 Z k2 N (1) where w(t) i s a f u n c t i o n h a ving as support an interval a b] and cos k (t) is de ned as cos k (t) 4 = cos (k + 1…”

Section: Problem Statementmentioning

confidence: 99%

“…Among their advantages are easy design and fast computation with an FFT-like algorithm. The fact that they can be interpreted as a \smooth DCT," make them interesting for compression purposes 4,5]. Recently they have a l s o found application in multitone modulation systems 6].…”

Section: Introductionmentioning

confidence: 99%

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Discrete- and continuous-time local cosine bases with multiple overlapping

Bernardini

Vetterli

1998

IEEE Trans. Signal Process.

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Cosine modulated lter banks are lter banks whose impulse responses are obtained by modulating a window with cosines. Among their applications are video and audio compression and multitone modulation. Their continuous time counterpart is known as local cosine bases. While there is an extended literature on the discrete time case, both for single and multiple overlapping, the continuous time case has received less attention and only the single overlapping case has been solved. This work gives a solution to the problem of continuous time local cosine bases with multiple overlapping via a general theory that emphasizes the deep connection between discrete and continuous time. A sampling theorem for local cosine basis and an e cient algorithm to compute the expansion of a signal are also given.

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“…Actually, w e j u s t n e e d t o c heck the external completeness, since the internal one is automatically granted by de nition (4).…”

Section: Problem Statementmentioning

confidence: 99%

“…In a discrete-time cosine modulated lter bank (CMFB), the generic basis function has the form g j k n] 4 = p 2w n ; Nj ] c o s k (n=N ; j + N ) j n 2 Z k = 0 1 : : : N; 1:…”

Section: Problem Statementmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%