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This paper presents a wide range of algorithms and architectures for computing the 1-D and 2-D Discrete Wavelet Transform (DWT), and the 1-D and 2-D Continuous Wavelet Transform (CWT). The algorithms and architectures presented here are independent of the size and nature of the wavelet function. New on-line algorithms are proposed for the DWT and the CWT which require signi cantly small storage. The proposed systolic array and the parallel lter architectures implement these on-line algorithms, and are optimal both with respect to area and time (under the word-serial model). Moreover, these architectures are very regular, and support single chip implementations in VLSI. The proposed SIMD architectures implement the existing pyramid and a'trous algorithms, and are optimal with respect to time.

In the past decade, the proliferation of mobile devices has increased at a spectacular rate. There are now more than 3.3 billion active cell phones in the world-a device that we now all depend on in our daily lives. The current generation of devices employs a combination of general-purpose processors, digital signal processors, and hardwired accelerators to provide giga-operations-per-second performance on milliWatt power budgets. Such heterogeneous organizations are inefficient to build and maintain, as well as waste silicon area and power. Looking forward to the next generation of mobile computing, computation requirements will increase by one to three orders of magnitude due to higher data rates, increased complexity algorithms, and greater computation diversity but the power requirements will be just as stringent. Scaling of existing approaches will not suffice instead the inherent computational efficiency, programmability, and adaptability of the hardware must change. To overcome these challenges, this paper proposes an example architecture, referred to as AnySP , for the next generation mobile signal processing. AnySP uses a co-design approach where the next generation wireless signal processing and high-definition video algorithms are analyzed to create a domain specific programmable architecture. At the heart of AnySP is a configurable single-instruction multipledata datapath that is capable of processing wide vectors or multiple narrow vectors simultaneously. In addition, deeper computation subgraphs can be pipelined across the singleinstruction multiple-data lanes. These three operating modes provide high throughput across varying application types. Results show that AnySP is capable of sustaining 4G wireless processing and high-definition video throughput rates, and will approach the 1000 Mops/mW efficiency barrier when scaled to 45nm.

In embedded system design, the designer has to choose an onchip memory configuration that is suitable for a specific application. To aid in this design choice, we present a memory exploration strategy based on three performance metrics, namely, cache size, the number of processor cycles and the energy consumption. We show how the performance is affected by cache parameters such as cache size, line size, set associativity and tiling, and the off-chip data organization. We show the importance of including energy in the performance metrics, since an increase in the cache line size, cache size, tiling and set associativity reduces the number of cycles but does not necessarily reduce the energy consumption. These performance metrics help us find the minimum energy cache configuration if time is the hard constraint, or the minimum time cache configuration if energy is the hard constraint.

The Canny edge detector is one of the most widely used edge detection algorithms due to its superior performance. Unfortunately, not only is it computationally more intensive as compared with other edge detection algorithms, but it also has a higher latency because it is based on frame-level statistics. In this paper, we propose a mechanism to implement the Canny algorithm at the block level without any loss in edge detection performance compared with the original frame-level Canny algorithm. Directly applying the original Canny algorithm at the block-level leads to excessive edges in smooth regions and to loss of significant edges in high-detailed regions since the original Canny computes the high and low thresholds based on the frame-level statistics. To solve this problem, we present a distributed Canny edge detection algorithm that adaptively computes the edge detection thresholds based on the block type and the local distribution of the gradients in the image block. In addition, the new algorithm uses a nonuniform gradient magnitude histogram to compute block-based hysteresis thresholds. The resulting block-based algorithm has a significantly reduced latency and can be easily integrated with other block-based image codecs. It is capable of supporting fast edge detection of images and videos with high resolutions, including full-HD since the latency is now a function of the block size instead of the frame size. In addition, quantitative conformance evaluations and subjective tests show that the edge detection performance of the proposed algorithm is better than the original frame-based algorithm, especially when noise is present in the images. Finally, this algorithm is implemented using a 32 computing engine architecture and is synthesized on the Xilinx Virtex-5 FPGA. The synthesized architecture takes only 0.721 ms (including the SRAM READ/WRITE time and the computation time) to detect edges of 512 × 512 images in the USC SIPI database when clocked at 100 MHz and is faster than existing FPGA and GPU implementations.

Dynamic voltage scaling (DVS) is a well-known low power design technique that reduces the processor energy by slowing down the DVS processor and stretching the task execution time. But in a DVS system consisting of a DVS processor and multiple devices, slowing down the processor increases the device energy consumption and thereby the system-level energy consumption. In this paper, we present dynamic task scheduling algorithms for periodic tasks that minimize the system-level energy (CPU energy + device standby energy). The algorithms use a combination of (i) optimal speed setting, which is the speed that minimizes the system energy for a specific task, and (ii) limited preemption which reduces the numbers of possible preemptions. For the case when the CPU power and device power are comparable, these algorithms achieve up to 43% energy savings compared to [1], but only up to 12% over the non-DVS scheduling. If the device power is large compared to the CPU power, we show that DVS should not be employed.