多尺度声表面波式指条面积加权的小波变换处理器及小波反变换处理器的研究

小波分析的算法复杂，其算法运算目前绝大部分是在计算机中完成的，编程工作量大，因此科学家和工程技术人员希望把小波变换及小波反变换制作成器件。针对这一问题，申请者发现声表面波器件换能器的指条面积按照小波函数包络面积加权，同时保证换能器的声孔径不变，且足够大时，能够制作出声表面波式指条面积加权的小波变换处理器及小波反变换处理器。本项目对指条面积按照小波函数包络面积加权的小波变换处理器及小波反变换处理器进行研究，探索小波函数在声表面波器件中的实现问题和小波函数如何设计成声表面波器件的脉冲响应函数问题，并且建立相应的数学模型；研究该处理器的物理参数与其性能关系，找出最佳结构；最后研制出该处理器的样品。本项目将奠定该处理器的理论和技术基础，该处理器将广泛应用于通讯、雷达及传感器中，其研究成果将对声表面波技术和小波变换技术的研究、发展、应用及产业化起到直接的推动作用。

The algorithms of wavelet transform are now complicated, and its algorithm operations are mostly accomplished by computers. The amount to write program is large. Therefore, scientists and engineers hope that wavelet transform and wavelet inverse transform will be fabricated into the processors. To solve this problem,the applicant found that, if the transducer finger-area for a surface acoustic wave (SAW) device is designed according to the envelope area of a wavelet function, and the sound aperture of the transducer for the SAW device is constant, and it is large enough, the finger-area-weighed wavelet-transform processor and wavelet inverse-transform processor of SAW type can been fabricated. In the project, the finger-area-weighed wavelet-transform processor and wavelet inverse-transform processor are studied. We explore two key problems, namely,the realization problem of a wavelet function in the SAW device,and how to design the wavelet function into the impulse response function of the SAW device.Moreover,the corresponding mathematical models are also established. The relationship between the physical parameters and performances for the processors is studied in detail, and the best structure of the processors is found. Finally, the processor samples will be fabricated. The project will lay the theoretical and technical basis for the processors. The processors will be widely applied to communications, radar and sensors, and the research results of the processors will play a direct-promotion role for research, development, application and industrialization of SAW technology and wavelet transform technology.