通信工程文献翻译——本文考虑了数字压缩器的应用和离散度，傅立叶变换（DFT）技术用于已知信号的测量，仅包括单频调音。我们讨论加权的使用，功能是提高测量系统的有效选择性，从系统软件中计频率和级别的机制DFT，可以使用的加权功能的代表性，旨在证明系统的固有准确性。权重的形式功能需要计算机要求的功能，没有使用这个计算机，估计频率和发生频率选择公式以最小化计算时间。

模拟结果表明，通过重量加权的使用功能，DFT测量系统采样频率为10Hz自适应最小误差在1000Hz以外的频率范围内分类约50Hz的0.03Hz。相应的最大误差内部估计不超过0.03dB。

一，引言

近几年来，有很多文章处理了在频谱范围内使用混合傅里叶变换（DFT）分析计算机算法DFT系数的数位计算机快速转换（FFT）。我们关心应用DFT技术的问题测量频率和频率单频调，

特别是测试期间数据集的音调，已知的系统信息包括异频率，非周期采样一个A-D转换器。总共有N个样本和DFT系数计算的样本。计算机确定所谓的“数据”系数“大”，表示近似频率测量，然后进行计算。首先要估计的方法和方法该程序的一部分是已知的。本文旨在考虑如何最好地了解该过程的最后一步，准确估计接收到的音调的频率和电平。

在数据集测试中，将使用色调测量系统偶尔在测试期间，必须消耗最少。因此我们引导我们注意使用简单公式并需要最小量的估算方法的计算机内存。

我们的注意力仅限于泄漏的问题，它的减少平滑（加窗）功能，以及开发ormulas，它从DFT系列列表中提取音调级别和频率。我们不讨论重要的但是重要的问题舍入误差等噪声源。

二，离散傅里叶变换的评论

离散傅里叶变换的定义和性质

在参考文献1和2中讨论。以下审查是刷新读者的记忆并建立我们以后使用的符号。

2.1离散傅立叶变换的定义

考虑一组有序数字[Xn]，其中n= 0,1,2，...，N- 1.在Cochran等人之后，我们定义离散......

Thia paper considers the application of a digital compuler and discrete Fourier transform (JDFT) techniqties to the measuremerd of signals known to comprise only single-frequency tones. We discuss the use of weighting functions to improve the effective selectivity of a measurement system that estimates the frequencies and levels of tones from the coefficients of their DFT, We present three classes of weighting functions which may be used to improve the inherent accuracy of such a system. The form of the weighting functions was chosen to minimize the amount of computer memory required, without using too much computer time. Several formulas are derived for estimating the frequency and level of a tone from its DFT coefficients. We chose the formulas to minimize computation time. Simulation results indicate that, through the use of a proper weighting function, a DFT measurement system that uses BIS samples taken at a sampling frequency of lOJfi Hz can be designed so that the maximum error in the frequency estimates of two tones near 1000 Hz and separated by approximately 50 Hz is about 0.03 Hz. The corresponding maximum error in the level estimate is on the order of 0.03 dB. 

I. INTRODUCTION 

There have been numerous articles, in recent years, dealing with the use of the discrete Fourier transform (DFT) in the area of spectrum analysis. Much of this interest was motivated by the availability of a computational algorithm that facilitates the rapid computation of DFT coefficients by a digital computer. The algorithm is, of course, the fast Fourier transform (FFT). 

We are concerned with the problem of applying DFT techniques to the measurement of the levels and frequencies of single-frequency ......