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

Cosine-modulated filter banks (CMFB's) are filter banks whose impulse respo nses are obtained by modulating a window with cosines. Among their applicat ions are video and audio compression and multitone modulation. Their contin uous-time counterpart is known as local cosine bases. Even though there is an extended literature on the discrete-time case both for single and multip le overlapping, the continuous-time case has received less attention, and o nly the single overlapping case has been solved. This work gives a solution to the problem of continuous-time local cosine bases with multiple overlap ping via a general theory that emphasizes the deep connection between discr ete and continuous time, A sampling theorem for local cosine basis and an e fficient algorithm to compute the expansion of a signal are also given.