1.”In most cases, these signals originate as sensory data from the real world: seismic vibrations visual images， sound waves， etc。DSP isthe mathematics, the algorithms， and the techniques used to manipulate these signals after they have been converted into a digital form。”在大多数状况下，这些信号来源于人对真实世界的感觉，例如地震的震动，视觉图像，声音波形等。数字信号处理是一种数学工具,是一种用来处理那些将上述信号转换成数字形式后的信号的算法和技术。2.Fourier’s representation of functionsas a superposition of sines and cosines has become Ubiquitous for both the analytic and numerical solution of differential equations and for the analysis and treatment of communication signals 函数的傅里叶表达,即将函数表达成正弦和余弦信号的叠加,这种措施已经广泛用于微分方程的解析法和数值法求解过程以及通信信号的分析和处理。3。If f （t ) is a nonperiodic signal, the summation of the periodic functions ， such as sine and cosine ， does not accurately represent the signal. You could artificially extend the signal to make it periodic but it would require additional continuity at the end points .假如 f(t）是非周期信号，那么用周期函数例如正弦和余弦的和,并不能精确的表达该信号 f(t)。你可以人为的拓展这个信号使其具有周期性,不过这规定在端点处附加持续性4.A digital filter is a mathematical algorithm implemented in hardware, firmware, and software that operates on a digital input signal to produce a digital output signal for achieving filtering objectives. 数 字 滤 波器是一种数学算法,它可以用硬件，固件和软件来实现。它作用于数字输入信号产生数字输出信号从而达到滤波目的.5.The basic idea of Fourier series method is to design an FIR filter that approximates the desired frequency response of filter by calculating its impulse response. "用傅里叶级数设计 FIR 滤波器的基本的理念是计算出此滤波器的单位冲激响应来迫近所期望...
