This paper explores novel techniques involving number theoretic concepts to perform real-time digital signalprocessing for high bandwidth data stream applications in digital signalprocessing. Often the arithmetic ma...
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ISBN:
(纸本)081940943X
This paper explores novel techniques involving number theoretic concepts to perform real-time digital signalprocessing for high bandwidth data stream applications in digital signalprocessing. Often the arithmetic manipulations are simple in form (cascades of additions and multiplications in a well defined structure) but the numbers of operations that have to be computed every second can be large. This paper discusses ways in which new number theoretic mapping techniques can be used to perform DSP operations by both reducing the amount of hardware involved in the circuitry and by allowing the construction of very benign architectures down to the individual cells. Such architectures can be used in aggressive VLSI/ULSI implementations. We restrict ourselves to the computation of linear filter and transform algorithms, with the inner product form, which probably account for the vast majority of digital signalprocessing functions implemented commercially.
We discuss pulse propagation in a dispersive medium with damping. We derive an explicit expression for the center of mass motion and show that when there is damping the center of mass does not travel with constant vel...
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ISBN:
(纸本)0819454974
We discuss pulse propagation in a dispersive medium with damping. We derive an explicit expression for the center of mass motion and show that when there is damping the center of mass does not travel with constant velocity, as is the case when there is no damping. We also derive an explicit relation connecting pulse propagation in the damped case with that of the undamped case. This allows the transformation from one case to the other. A number of exactly solvable examples are given to illustrate the equations derived.
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